ROL
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Constraint_BurgersControl< Real > Class Template Reference

#include <test_04.hpp>

+ Inheritance diagram for Constraint_BurgersControl< Real >:

Public Member Functions

 Constraint_BurgersControl (const ROL::Ptr< BurgersFEM< Real > > &fem, const bool useHessian=true)
 
void value (ROL::Vector< Real > &c, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Evaluate the constraint operator \(c:\mathcal{U}\times\mathcal{Z} \rightarrow \mathcal{C}\) at \((u,z)\). More...
 
void applyJacobian_1 (ROL::Vector< Real > &jv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the partial constraint Jacobian at \((u,z)\), \(c_u(u,z) \in L(\mathcal{U}, \mathcal{C})\), to the vector \(v\). More...
 
void applyJacobian_2 (ROL::Vector< Real > &jv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the partial constraint Jacobian at \((u,z)\), \(c_z(u,z) \in L(\mathcal{Z}, \mathcal{C})\), to the vector \(v\). More...
 
void applyInverseJacobian_1 (ROL::Vector< Real > &ijv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the inverse partial constraint Jacobian at \((u,z)\), \(c_u(u,z)^{-1} \in L(\mathcal{C}, \mathcal{U})\), to the vector \(v\). More...
 
void applyAdjointJacobian_1 (ROL::Vector< Real > &ajv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the adjoint of the partial constraint Jacobian at \((u,z)\), \(c_u(u,z)^* \in L(\mathcal{C}^*, \mathcal{U}^*)\), to the vector \(v\). This is the primary interface. More...
 
void applyAdjointJacobian_2 (ROL::Vector< Real > &jv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the adjoint of the partial constraint Jacobian at \((u,z)\), \(c_z(u,z)^* \in L(\mathcal{C}^*, \mathcal{Z}^*)\), to vector \(v\). This is the primary interface. More...
 
void applyInverseAdjointJacobian_1 (ROL::Vector< Real > &iajv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the inverse of the adjoint of the partial constraint Jacobian at \((u,z)\), \(c_u(u,z)^{-*} \in L(\mathcal{U}^*, \mathcal{C}^*)\), to the vector \(v\). More...
 
void applyAdjointHessian_11 (ROL::Vector< Real > &ahwv, const ROL::Vector< Real > &w, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the simulation-space derivative of the adjoint of the constraint simulation-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{uu}(u,z)(v,\cdot)^*w\). More...
 
void applyAdjointHessian_12 (ROL::Vector< Real > &ahwv, const ROL::Vector< Real > &w, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the optimization-space derivative of the adjoint of the constraint simulation-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{uz}(u,z)(v,\cdot)^*w\). More...
 
void applyAdjointHessian_21 (ROL::Vector< Real > &ahwv, const ROL::Vector< Real > &w, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the simulation-space derivative of the adjoint of the constraint optimization-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{zu}(u,z)(v,\cdot)^*w\). More...
 
void applyAdjointHessian_22 (ROL::Vector< Real > &ahwv, const ROL::Vector< Real > &w, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the optimization-space derivative of the adjoint of the constraint optimization-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{zz}(u,z)(v,\cdot)^*w\). More...
 
 Constraint_BurgersControl (int nx=128, Real nu=1.e-2, Real u0=1.0, Real u1=0.0, Real f=0.0)
 
void value (ROL::Vector< Real > &c, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Evaluate the constraint operator \(c:\mathcal{U}\times\mathcal{Z} \rightarrow \mathcal{C}\) at \((u,z)\). More...
 
void applyJacobian_1 (ROL::Vector< Real > &jv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the partial constraint Jacobian at \((u,z)\), \(c_u(u,z) \in L(\mathcal{U}, \mathcal{C})\), to the vector \(v\). More...
 
void applyJacobian_2 (ROL::Vector< Real > &jv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the partial constraint Jacobian at \((u,z)\), \(c_z(u,z) \in L(\mathcal{Z}, \mathcal{C})\), to the vector \(v\). More...
 
void applyInverseJacobian_1 (ROL::Vector< Real > &ijv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the inverse partial constraint Jacobian at \((u,z)\), \(c_u(u,z)^{-1} \in L(\mathcal{C}, \mathcal{U})\), to the vector \(v\). More...
 
void applyAdjointJacobian_1 (ROL::Vector< Real > &ajv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the adjoint of the partial constraint Jacobian at \((u,z)\), \(c_u(u,z)^* \in L(\mathcal{C}^*, \mathcal{U}^*)\), to the vector \(v\). This is the primary interface. More...
 
void applyAdjointJacobian_2 (ROL::Vector< Real > &jv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the adjoint of the partial constraint Jacobian at \((u,z)\), \(c_z(u,z)^* \in L(\mathcal{C}^*, \mathcal{Z}^*)\), to vector \(v\). This is the primary interface. More...
 
void applyInverseAdjointJacobian_1 (ROL::Vector< Real > &iajv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the inverse of the adjoint of the partial constraint Jacobian at \((u,z)\), \(c_u(u,z)^{-*} \in L(\mathcal{U}^*, \mathcal{C}^*)\), to the vector \(v\). More...
 
void applyAdjointHessian_11 (ROL::Vector< Real > &ahwv, const ROL::Vector< Real > &w, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the simulation-space derivative of the adjoint of the constraint simulation-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{uu}(u,z)(v,\cdot)^*w\). More...
 
void applyAdjointHessian_12 (ROL::Vector< Real > &ahwv, const ROL::Vector< Real > &w, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the optimization-space derivative of the adjoint of the constraint simulation-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{uz}(u,z)(v,\cdot)^*w\). More...
 
void applyAdjointHessian_21 (ROL::Vector< Real > &ahwv, const ROL::Vector< Real > &w, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the simulation-space derivative of the adjoint of the constraint optimization-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{zu}(u,z)(v,\cdot)^*w\). More...
 
void applyAdjointHessian_22 (ROL::Vector< Real > &ahwv, const ROL::Vector< Real > &w, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the optimization-space derivative of the adjoint of the constraint optimization-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{zz}(u,z)(v,\cdot)^*w\). More...
 
 Constraint_BurgersControl (int nx=128, int nt=100, Real T=1, Real nu=1.e-2, Real u0=0.0, Real u1=0.0, Real f=0.0)
 
void value (ROL::Vector< Real > &c, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Evaluate the constraint operator \(c:\mathcal{U}\times\mathcal{Z} \rightarrow \mathcal{C}\) at \((u,z)\). More...
 
void solve (ROL::Vector< Real > &c, ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Given \(z\), solve \(c(u,z)=0\) for \(u\). More...
 
void applyJacobian_1 (ROL::Vector< Real > &jv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the partial constraint Jacobian at \((u,z)\), \(c_u(u,z) \in L(\mathcal{U}, \mathcal{C})\), to the vector \(v\). More...
 
void applyJacobian_2 (ROL::Vector< Real > &jv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the partial constraint Jacobian at \((u,z)\), \(c_z(u,z) \in L(\mathcal{Z}, \mathcal{C})\), to the vector \(v\). More...
 
void applyInverseJacobian_1 (ROL::Vector< Real > &ijv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the inverse partial constraint Jacobian at \((u,z)\), \(c_u(u,z)^{-1} \in L(\mathcal{C}, \mathcal{U})\), to the vector \(v\). More...
 
void applyAdjointJacobian_1 (ROL::Vector< Real > &ajv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the adjoint of the partial constraint Jacobian at \((u,z)\), \(c_u(u,z)^* \in L(\mathcal{C}^*, \mathcal{U}^*)\), to the vector \(v\). This is the primary interface. More...
 
void applyAdjointJacobian_2 (ROL::Vector< Real > &jv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the adjoint of the partial constraint Jacobian at \((u,z)\), \(c_z(u,z)^* \in L(\mathcal{C}^*, \mathcal{Z}^*)\), to vector \(v\). This is the primary interface. More...
 
void applyInverseAdjointJacobian_1 (ROL::Vector< Real > &ijv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the inverse of the adjoint of the partial constraint Jacobian at \((u,z)\), \(c_u(u,z)^{-*} \in L(\mathcal{U}^*, \mathcal{C}^*)\), to the vector \(v\). More...
 
void applyAdjointHessian_11 (ROL::Vector< Real > &hwv, const ROL::Vector< Real > &w, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the simulation-space derivative of the adjoint of the constraint simulation-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{uu}(u,z)(v,\cdot)^*w\). More...
 
void applyAdjointHessian_12 (ROL::Vector< Real > &ahwv, const ROL::Vector< Real > &w, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the optimization-space derivative of the adjoint of the constraint simulation-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{uz}(u,z)(v,\cdot)^*w\). More...
 
void applyAdjointHessian_21 (ROL::Vector< Real > &ahwv, const ROL::Vector< Real > &w, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the simulation-space derivative of the adjoint of the constraint optimization-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{zu}(u,z)(v,\cdot)^*w\). More...
 
void applyAdjointHessian_22 (ROL::Vector< Real > &ahwv, const ROL::Vector< Real > &w, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the optimization-space derivative of the adjoint of the constraint optimization-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{zz}(u,z)(v,\cdot)^*w\). More...
 
 Constraint_BurgersControl (ROL::Ptr< BurgersFEM< Real > > &fem, bool useHessian=true)
 
void value (ROL::Vector< Real > &c, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Evaluate the constraint operator \(c:\mathcal{U}\times\mathcal{Z} \rightarrow \mathcal{C}\) at \((u,z)\). More...
 
void applyJacobian_1 (ROL::Vector< Real > &jv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the partial constraint Jacobian at \((u,z)\), \(c_u(u,z) \in L(\mathcal{U}, \mathcal{C})\), to the vector \(v\). More...
 
void applyJacobian_2 (ROL::Vector< Real > &jv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the partial constraint Jacobian at \((u,z)\), \(c_z(u,z) \in L(\mathcal{Z}, \mathcal{C})\), to the vector \(v\). More...
 
void applyInverseJacobian_1 (ROL::Vector< Real > &ijv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the inverse partial constraint Jacobian at \((u,z)\), \(c_u(u,z)^{-1} \in L(\mathcal{C}, \mathcal{U})\), to the vector \(v\). More...
 
void applyAdjointJacobian_1 (ROL::Vector< Real > &ajv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the adjoint of the partial constraint Jacobian at \((u,z)\), \(c_u(u,z)^* \in L(\mathcal{C}^*, \mathcal{U}^*)\), to the vector \(v\). This is the primary interface. More...
 
void applyAdjointJacobian_2 (ROL::Vector< Real > &jv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the adjoint of the partial constraint Jacobian at \((u,z)\), \(c_z(u,z)^* \in L(\mathcal{C}^*, \mathcal{Z}^*)\), to vector \(v\). This is the primary interface. More...
 
void applyInverseAdjointJacobian_1 (ROL::Vector< Real > &iajv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the inverse of the adjoint of the partial constraint Jacobian at \((u,z)\), \(c_u(u,z)^{-*} \in L(\mathcal{U}^*, \mathcal{C}^*)\), to the vector \(v\). More...
 
void applyAdjointHessian_11 (ROL::Vector< Real > &ahwv, const ROL::Vector< Real > &w, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the simulation-space derivative of the adjoint of the constraint simulation-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{uu}(u,z)(v,\cdot)^*w\). More...
 
void applyAdjointHessian_12 (ROL::Vector< Real > &ahwv, const ROL::Vector< Real > &w, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the optimization-space derivative of the adjoint of the constraint simulation-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{uz}(u,z)(v,\cdot)^*w\). More...
 
void applyAdjointHessian_21 (ROL::Vector< Real > &ahwv, const ROL::Vector< Real > &w, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the simulation-space derivative of the adjoint of the constraint optimization-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{zu}(u,z)(v,\cdot)^*w\). More...
 
void applyAdjointHessian_22 (ROL::Vector< Real > &ahwv, const ROL::Vector< Real > &w, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the optimization-space derivative of the adjoint of the constraint optimization-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{zz}(u,z)(v,\cdot)^*w\). More...
 
 Constraint_BurgersControl (int nx=128)
 
void value (ROL::Vector< Real > &c, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Evaluate the constraint operator \(c:\mathcal{U}\times\mathcal{Z} \rightarrow \mathcal{C}\) at \((u,z)\). More...
 
void solve (ROL::Vector< Real > &c, ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Given \(z\), solve \(c(u,z)=0\) for \(u\). More...
 
void applyJacobian_1 (ROL::Vector< Real > &jv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the partial constraint Jacobian at \((u,z)\), \(c_u(u,z) \in L(\mathcal{U}, \mathcal{C})\), to the vector \(v\). More...
 
void applyJacobian_2 (ROL::Vector< Real > &jv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the partial constraint Jacobian at \((u,z)\), \(c_z(u,z) \in L(\mathcal{Z}, \mathcal{C})\), to the vector \(v\). More...
 
void applyInverseJacobian_1 (ROL::Vector< Real > &ijv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the inverse partial constraint Jacobian at \((u,z)\), \(c_u(u,z)^{-1} \in L(\mathcal{C}, \mathcal{U})\), to the vector \(v\). More...
 
void applyAdjointJacobian_1 (ROL::Vector< Real > &ajv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the adjoint of the partial constraint Jacobian at \((u,z)\), \(c_u(u,z)^* \in L(\mathcal{C}^*, \mathcal{U}^*)\), to the vector \(v\). This is the primary interface. More...
 
void applyAdjointJacobian_2 (ROL::Vector< Real > &jv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the adjoint of the partial constraint Jacobian at \((u,z)\), \(c_z(u,z)^* \in L(\mathcal{C}^*, \mathcal{Z}^*)\), to vector \(v\). This is the primary interface. More...
 
void applyInverseAdjointJacobian_1 (ROL::Vector< Real > &iajv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the inverse of the adjoint of the partial constraint Jacobian at \((u,z)\), \(c_u(u,z)^{-*} \in L(\mathcal{U}^*, \mathcal{C}^*)\), to the vector \(v\). More...
 
void applyAdjointHessian_11 (ROL::Vector< Real > &ahwv, const ROL::Vector< Real > &w, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the simulation-space derivative of the adjoint of the constraint simulation-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{uu}(u,z)(v,\cdot)^*w\). More...
 
void applyAdjointHessian_12 (ROL::Vector< Real > &ahwv, const ROL::Vector< Real > &w, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the optimization-space derivative of the adjoint of the constraint simulation-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{uz}(u,z)(v,\cdot)^*w\). More...
 
void applyAdjointHessian_21 (ROL::Vector< Real > &ahwv, const ROL::Vector< Real > &w, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the simulation-space derivative of the adjoint of the constraint optimization-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{zu}(u,z)(v,\cdot)^*w\). More...
 
void applyAdjointHessian_22 (ROL::Vector< Real > &ahwv, const ROL::Vector< Real > &w, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the optimization-space derivative of the adjoint of the constraint optimization-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{zz}(u,z)(v,\cdot)^*w\). More...
 
 Constraint_BurgersControl (ROL::Ptr< BurgersFEM< Real > > &fem, bool useHessian=true)
 
void value (ROL::Vector< Real > &c, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Evaluate the constraint operator \(c:\mathcal{U}\times\mathcal{Z} \rightarrow \mathcal{C}\) at \((u,z)\). More...
 
void applyJacobian_1 (ROL::Vector< Real > &jv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the partial constraint Jacobian at \((u,z)\), \(c_u(u,z) \in L(\mathcal{U}, \mathcal{C})\), to the vector \(v\). More...
 
void applyJacobian_2 (ROL::Vector< Real > &jv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the partial constraint Jacobian at \((u,z)\), \(c_z(u,z) \in L(\mathcal{Z}, \mathcal{C})\), to the vector \(v\). More...
 
void applyInverseJacobian_1 (ROL::Vector< Real > &ijv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the inverse partial constraint Jacobian at \((u,z)\), \(c_u(u,z)^{-1} \in L(\mathcal{C}, \mathcal{U})\), to the vector \(v\). More...
 
void applyAdjointJacobian_1 (ROL::Vector< Real > &ajv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the adjoint of the partial constraint Jacobian at \((u,z)\), \(c_u(u,z)^* \in L(\mathcal{C}^*, \mathcal{U}^*)\), to the vector \(v\). This is the primary interface. More...
 
void applyAdjointJacobian_2 (ROL::Vector< Real > &jv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the adjoint of the partial constraint Jacobian at \((u,z)\), \(c_z(u,z)^* \in L(\mathcal{C}^*, \mathcal{Z}^*)\), to vector \(v\). This is the primary interface. More...
 
void applyInverseAdjointJacobian_1 (ROL::Vector< Real > &iajv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the inverse of the adjoint of the partial constraint Jacobian at \((u,z)\), \(c_u(u,z)^{-*} \in L(\mathcal{U}^*, \mathcal{C}^*)\), to the vector \(v\). More...
 
void applyAdjointHessian_11 (ROL::Vector< Real > &ahwv, const ROL::Vector< Real > &w, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the simulation-space derivative of the adjoint of the constraint simulation-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{uu}(u,z)(v,\cdot)^*w\). More...
 
void applyAdjointHessian_12 (ROL::Vector< Real > &ahwv, const ROL::Vector< Real > &w, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the optimization-space derivative of the adjoint of the constraint simulation-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{uz}(u,z)(v,\cdot)^*w\). More...
 
void applyAdjointHessian_21 (ROL::Vector< Real > &ahwv, const ROL::Vector< Real > &w, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the simulation-space derivative of the adjoint of the constraint optimization-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{zu}(u,z)(v,\cdot)^*w\). More...
 
void applyAdjointHessian_22 (ROL::Vector< Real > &ahwv, const ROL::Vector< Real > &w, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the optimization-space derivative of the adjoint of the constraint optimization-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{zz}(u,z)(v,\cdot)^*w\). More...
 
 Constraint_BurgersControl (ROL::Ptr< BurgersFEM< Real > > &fem, bool useHessian=true)
 
void value (ROL::Vector< Real > &c, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Evaluate the constraint operator \(c:\mathcal{U}\times\mathcal{Z} \rightarrow \mathcal{C}\) at \((u,z)\). More...
 
void applyJacobian_1 (ROL::Vector< Real > &jv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the partial constraint Jacobian at \((u,z)\), \(c_u(u,z) \in L(\mathcal{U}, \mathcal{C})\), to the vector \(v\). More...
 
void applyJacobian_2 (ROL::Vector< Real > &jv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the partial constraint Jacobian at \((u,z)\), \(c_z(u,z) \in L(\mathcal{Z}, \mathcal{C})\), to the vector \(v\). More...
 
void applyInverseJacobian_1 (ROL::Vector< Real > &ijv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the inverse partial constraint Jacobian at \((u,z)\), \(c_u(u,z)^{-1} \in L(\mathcal{C}, \mathcal{U})\), to the vector \(v\). More...
 
void applyAdjointJacobian_1 (ROL::Vector< Real > &ajv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the adjoint of the partial constraint Jacobian at \((u,z)\), \(c_u(u,z)^* \in L(\mathcal{C}^*, \mathcal{U}^*)\), to the vector \(v\). This is the primary interface. More...
 
void applyAdjointJacobian_2 (ROL::Vector< Real > &jv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the adjoint of the partial constraint Jacobian at \((u,z)\), \(c_z(u,z)^* \in L(\mathcal{C}^*, \mathcal{Z}^*)\), to vector \(v\). This is the primary interface. More...
 
void applyInverseAdjointJacobian_1 (ROL::Vector< Real > &iajv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the inverse of the adjoint of the partial constraint Jacobian at \((u,z)\), \(c_u(u,z)^{-*} \in L(\mathcal{U}^*, \mathcal{C}^*)\), to the vector \(v\). More...
 
void applyAdjointHessian_11 (ROL::Vector< Real > &ahwv, const ROL::Vector< Real > &w, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the simulation-space derivative of the adjoint of the constraint simulation-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{uu}(u,z)(v,\cdot)^*w\). More...
 
void applyAdjointHessian_12 (ROL::Vector< Real > &ahwv, const ROL::Vector< Real > &w, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the optimization-space derivative of the adjoint of the constraint simulation-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{uz}(u,z)(v,\cdot)^*w\). More...
 
void applyAdjointHessian_21 (ROL::Vector< Real > &ahwv, const ROL::Vector< Real > &w, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the simulation-space derivative of the adjoint of the constraint optimization-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{zu}(u,z)(v,\cdot)^*w\). More...
 
void applyAdjointHessian_22 (ROL::Vector< Real > &ahwv, const ROL::Vector< Real > &w, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the optimization-space derivative of the adjoint of the constraint optimization-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{zz}(u,z)(v,\cdot)^*w\). More...
 
 Constraint_BurgersControl (ROL::Ptr< BurgersFEM< Real > > &fem, bool useHessian=true)
 
void value (ROL::Vector< Real > &c, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Evaluate the constraint operator \(c:\mathcal{U}\times\mathcal{Z} \rightarrow \mathcal{C}\) at \((u,z)\). More...
 
void applyJacobian_1 (ROL::Vector< Real > &jv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the partial constraint Jacobian at \((u,z)\), \(c_u(u,z) \in L(\mathcal{U}, \mathcal{C})\), to the vector \(v\). More...
 
void applyJacobian_2 (ROL::Vector< Real > &jv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the partial constraint Jacobian at \((u,z)\), \(c_z(u,z) \in L(\mathcal{Z}, \mathcal{C})\), to the vector \(v\). More...
 
void applyInverseJacobian_1 (ROL::Vector< Real > &ijv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the inverse partial constraint Jacobian at \((u,z)\), \(c_u(u,z)^{-1} \in L(\mathcal{C}, \mathcal{U})\), to the vector \(v\). More...
 
void applyAdjointJacobian_1 (ROL::Vector< Real > &ajv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the adjoint of the partial constraint Jacobian at \((u,z)\), \(c_u(u,z)^* \in L(\mathcal{C}^*, \mathcal{U}^*)\), to the vector \(v\). This is the primary interface. More...
 
void applyAdjointJacobian_2 (ROL::Vector< Real > &jv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the adjoint of the partial constraint Jacobian at \((u,z)\), \(c_z(u,z)^* \in L(\mathcal{C}^*, \mathcal{Z}^*)\), to vector \(v\). This is the primary interface. More...
 
void applyInverseAdjointJacobian_1 (ROL::Vector< Real > &iajv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the inverse of the adjoint of the partial constraint Jacobian at \((u,z)\), \(c_u(u,z)^{-*} \in L(\mathcal{U}^*, \mathcal{C}^*)\), to the vector \(v\). More...
 
void applyAdjointHessian_11 (ROL::Vector< Real > &ahwv, const ROL::Vector< Real > &w, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the simulation-space derivative of the adjoint of the constraint simulation-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{uu}(u,z)(v,\cdot)^*w\). More...
 
void applyAdjointHessian_12 (ROL::Vector< Real > &ahwv, const ROL::Vector< Real > &w, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the optimization-space derivative of the adjoint of the constraint simulation-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{uz}(u,z)(v,\cdot)^*w\). More...
 
void applyAdjointHessian_21 (ROL::Vector< Real > &ahwv, const ROL::Vector< Real > &w, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the simulation-space derivative of the adjoint of the constraint optimization-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{zu}(u,z)(v,\cdot)^*w\). More...
 
void applyAdjointHessian_22 (ROL::Vector< Real > &ahwv, const ROL::Vector< Real > &w, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the optimization-space derivative of the adjoint of the constraint optimization-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{zz}(u,z)(v,\cdot)^*w\). More...
 
 Constraint_BurgersControl (int nx=128)
 
void value (ROL::Vector< Real > &c, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Evaluate the constraint operator \(c:\mathcal{U}\times\mathcal{Z} \rightarrow \mathcal{C}\) at \((u,z)\). More...
 
void solve (ROL::Vector< Real > &c, ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Given \(z\), solve \(c(u,z)=0\) for \(u\). More...
 
void applyJacobian_1 (ROL::Vector< Real > &jv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the partial constraint Jacobian at \((u,z)\), \(c_u(u,z) \in L(\mathcal{U}, \mathcal{C})\), to the vector \(v\). More...
 
void applyJacobian_2 (ROL::Vector< Real > &jv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the partial constraint Jacobian at \((u,z)\), \(c_z(u,z) \in L(\mathcal{Z}, \mathcal{C})\), to the vector \(v\). More...
 
void applyInverseJacobian_1 (ROL::Vector< Real > &ijv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the inverse partial constraint Jacobian at \((u,z)\), \(c_u(u,z)^{-1} \in L(\mathcal{C}, \mathcal{U})\), to the vector \(v\). More...
 
void applyAdjointJacobian_1 (ROL::Vector< Real > &ajv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the adjoint of the partial constraint Jacobian at \((u,z)\), \(c_u(u,z)^* \in L(\mathcal{C}^*, \mathcal{U}^*)\), to the vector \(v\). This is the primary interface. More...
 
void applyAdjointJacobian_2 (ROL::Vector< Real > &jv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the adjoint of the partial constraint Jacobian at \((u,z)\), \(c_z(u,z)^* \in L(\mathcal{C}^*, \mathcal{Z}^*)\), to vector \(v\). This is the primary interface. More...
 
void applyInverseAdjointJacobian_1 (ROL::Vector< Real > &iajv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the inverse of the adjoint of the partial constraint Jacobian at \((u,z)\), \(c_u(u,z)^{-*} \in L(\mathcal{U}^*, \mathcal{C}^*)\), to the vector \(v\). More...
 
void applyAdjointHessian_11 (ROL::Vector< Real > &ahwv, const ROL::Vector< Real > &w, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the simulation-space derivative of the adjoint of the constraint simulation-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{uu}(u,z)(v,\cdot)^*w\). More...
 
void applyAdjointHessian_12 (ROL::Vector< Real > &ahwv, const ROL::Vector< Real > &w, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the optimization-space derivative of the adjoint of the constraint simulation-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{uz}(u,z)(v,\cdot)^*w\). More...
 
void applyAdjointHessian_21 (ROL::Vector< Real > &ahwv, const ROL::Vector< Real > &w, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the simulation-space derivative of the adjoint of the constraint optimization-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{zu}(u,z)(v,\cdot)^*w\). More...
 
void applyAdjointHessian_22 (ROL::Vector< Real > &ahwv, const ROL::Vector< Real > &w, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply the optimization-space derivative of the adjoint of the constraint optimization-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{zz}(u,z)(v,\cdot)^*w\). More...
 
- Public Member Functions inherited from ROL::Constraint_SimOpt< Real >
 Constraint_SimOpt ()
 
virtual void update (const Vector< Real > &u, const Vector< Real > &z, bool flag=true, int iter=-1)
 Update constraint functions. x is the optimization variable, flag = true if optimization variable is changed, iter is the outer algorithm iterations count. More...
 
virtual void update (const Vector< Real > &u, const Vector< Real > &z, UpdateType type, int iter=-1)
 
virtual void update_1 (const Vector< Real > &u, bool flag=true, int iter=-1)
 Update constraint functions with respect to Sim variable. x is the optimization variable, flag = true if optimization variable is changed, iter is the outer algorithm iterations count. More...
 
virtual void update_1 (const Vector< Real > &u, UpdateType type, int iter=-1)
 
virtual void update_2 (const Vector< Real > &z, bool flag=true, int iter=-1)
 Update constraint functions with respect to Opt variable. x is the optimization variable, flag = true if optimization variable is changed, iter is the outer algorithm iterations count. More...
 
virtual void update_2 (const Vector< Real > &z, UpdateType type, int iter=-1)
 
virtual void solve_update (const Vector< Real > &u, const Vector< Real > &z, UpdateType type, int iter=-1)
 Update SimOpt constraint during solve (disconnected from optimization updates). More...
 
virtual void setSolveParameters (ParameterList &parlist)
 Set solve parameters. More...
 
virtual void applyAdjointJacobian_1 (Vector< Real > &ajv, const Vector< Real > &v, const Vector< Real > &u, const Vector< Real > &z, const Vector< Real > &dualv, Real &tol)
 Apply the adjoint of the partial constraint Jacobian at \((u,z)\), \(c_u(u,z)^* \in L(\mathcal{C}^*, \mathcal{U}^*)\), to the vector \(v\). This is the secondary interface, for use with dual spaces where the user does not define the dual() operation. More...
 
virtual void applyAdjointJacobian_2 (Vector< Real > &ajv, const Vector< Real > &v, const Vector< Real > &u, const Vector< Real > &z, const Vector< Real > &dualv, Real &tol)
 Apply the adjoint of the partial constraint Jacobian at \((u,z)\), \(c_z(u,z)^* \in L(\mathcal{C}^*, \mathcal{Z}^*)\), to vector \(v\). This is the secondary interface, for use with dual spaces where the user does not define the dual() operation. More...
 
virtual std::vector< Real > solveAugmentedSystem (Vector< Real > &v1, Vector< Real > &v2, const Vector< Real > &b1, const Vector< Real > &b2, const Vector< Real > &x, Real &tol)
 Approximately solves the augmented system

\[ \begin{pmatrix} I & c'(x)^* \\ c'(x) & 0 \end{pmatrix} \begin{pmatrix} v_{1} \\ v_{2} \end{pmatrix} = \begin{pmatrix} b_{1} \\ b_{2} \end{pmatrix} \]

where \(v_{1} \in \mathcal{X}\), \(v_{2} \in \mathcal{C}^*\), \(b_{1} \in \mathcal{X}^*\), \(b_{2} \in \mathcal{C}\), \(I : \mathcal{X} \rightarrow \mathcal{X}^*\) is an identity operator, and \(0 : \mathcal{C}^* \rightarrow \mathcal{C}\) is a zero operator. More...

 
virtual void applyPreconditioner (Vector< Real > &pv, const Vector< Real > &v, const Vector< Real > &x, const Vector< Real > &g, Real &tol)
 Apply a constraint preconditioner at \(x\), \(P(x) \in L(\mathcal{C}, \mathcal{C})\), to vector \(v\). In general, this preconditioner satisfies the following relationship:

\[ c'(x) c'(x)^* P(x) v \approx v \,. \]

It is used by the solveAugmentedSystem method. More...

 
virtual void update (const Vector< Real > &x, bool flag=true, int iter=-1)
 Update constraint functions. x is the optimization variable, flag = true if optimization variable is changed, iter is the outer algorithm iterations count. More...
 
virtual void update (const Vector< Real > &x, UpdateType type, int iter=-1)
 Update constraint function. More...
 
virtual void value (Vector< Real > &c, const Vector< Real > &x, Real &tol)
 Evaluate the constraint operator \(c:\mathcal{X} \rightarrow \mathcal{C}\) at \(x\). More...
 
virtual void applyJacobian (Vector< Real > &jv, const Vector< Real > &v, const Vector< Real > &x, Real &tol)
 Apply the constraint Jacobian at \(x\), \(c'(x) \in L(\mathcal{X}, \mathcal{C})\), to vector \(v\). More...
 
virtual void applyAdjointJacobian (Vector< Real > &ajv, const Vector< Real > &v, const Vector< Real > &x, Real &tol)
 Apply the adjoint of the the constraint Jacobian at \(x\), \(c'(x)^* \in L(\mathcal{C}^*, \mathcal{X}^*)\), to vector \(v\). More...
 
virtual void applyAdjointHessian (Vector< Real > &ahwv, const Vector< Real > &w, const Vector< Real > &v, const Vector< Real > &x, Real &tol)
 Apply the derivative of the adjoint of the constraint Jacobian at \(x\) to vector \(u\) in direction \(v\), according to \( v \mapsto c''(x)(v,\cdot)^*u \). More...
 
virtual Real checkSolve (const Vector< Real > &u, const Vector< Real > &z, const Vector< Real > &c, const bool printToStream=true, std::ostream &outStream=std::cout)
 
virtual Real checkAdjointConsistencyJacobian_1 (const Vector< Real > &w, const Vector< Real > &v, const Vector< Real > &u, const Vector< Real > &z, const bool printToStream=true, std::ostream &outStream=std::cout)
 Check the consistency of the Jacobian and its adjoint. This is the primary interface. More...
 
virtual Real checkAdjointConsistencyJacobian_1 (const Vector< Real > &w, const Vector< Real > &v, const Vector< Real > &u, const Vector< Real > &z, const Vector< Real > &dualw, const Vector< Real > &dualv, const bool printToStream=true, std::ostream &outStream=std::cout)
 Check the consistency of the Jacobian and its adjoint. This is the secondary interface, for use with dual spaces where the user does not define the dual() operation. More...
 
virtual Real checkAdjointConsistencyJacobian_2 (const Vector< Real > &w, const Vector< Real > &v, const Vector< Real > &u, const Vector< Real > &z, const bool printToStream=true, std::ostream &outStream=std::cout)
 Check the consistency of the Jacobian and its adjoint. This is the primary interface. More...
 
virtual Real checkAdjointConsistencyJacobian_2 (const Vector< Real > &w, const Vector< Real > &v, const Vector< Real > &u, const Vector< Real > &z, const Vector< Real > &dualw, const Vector< Real > &dualv, const bool printToStream=true, std::ostream &outStream=std::cout)
 Check the consistency of the Jacobian and its adjoint. This is the secondary interface, for use with dual spaces where the user does not define the dual() operation. More...
 
virtual Real checkInverseJacobian_1 (const Vector< Real > &jv, const Vector< Real > &v, const Vector< Real > &u, const Vector< Real > &z, const bool printToStream=true, std::ostream &outStream=std::cout)
 
virtual Real checkInverseAdjointJacobian_1 (const Vector< Real > &jv, const Vector< Real > &v, const Vector< Real > &u, const Vector< Real > &z, const bool printToStream=true, std::ostream &outStream=std::cout)
 
std::vector< std::vector< Real > > checkApplyJacobian_1 (const Vector< Real > &u, const Vector< Real > &z, const Vector< Real > &v, const Vector< Real > &jv, const bool printToStream=true, std::ostream &outStream=std::cout, const int numSteps=ROL_NUM_CHECKDERIV_STEPS, const int order=1)
 
std::vector< std::vector< Real > > checkApplyJacobian_1 (const Vector< Real > &u, const Vector< Real > &z, const Vector< Real > &v, const Vector< Real > &jv, const std::vector< Real > &steps, const bool printToStream=true, std::ostream &outStream=std::cout, const int order=1)
 
std::vector< std::vector< Real > > checkApplyJacobian_2 (const Vector< Real > &u, const Vector< Real > &z, const Vector< Real > &v, const Vector< Real > &jv, const bool printToStream=true, std::ostream &outStream=std::cout, const int numSteps=ROL_NUM_CHECKDERIV_STEPS, const int order=1)
 
std::vector< std::vector< Real > > checkApplyJacobian_2 (const Vector< Real > &u, const Vector< Real > &z, const Vector< Real > &v, const Vector< Real > &jv, const std::vector< Real > &steps, const bool printToStream=true, std::ostream &outStream=std::cout, const int order=1)
 
std::vector< std::vector< Real > > checkApplyAdjointHessian_11 (const Vector< Real > &u, const Vector< Real > &z, const Vector< Real > &p, const Vector< Real > &v, const Vector< Real > &hv, const bool printToStream=true, std::ostream &outStream=std::cout, const int numSteps=ROL_NUM_CHECKDERIV_STEPS, const int order=1)
 
std::vector< std::vector< Real > > checkApplyAdjointHessian_11 (const Vector< Real > &u, const Vector< Real > &z, const Vector< Real > &p, const Vector< Real > &v, const Vector< Real > &hv, const std::vector< Real > &steps, const bool printToStream=true, std::ostream &outStream=std::cout, const int order=1)
 
std::vector< std::vector< Real > > checkApplyAdjointHessian_21 (const Vector< Real > &u, const Vector< Real > &z, const Vector< Real > &p, const Vector< Real > &v, const Vector< Real > &hv, const bool printToStream=true, std::ostream &outStream=std::cout, const int numSteps=ROL_NUM_CHECKDERIV_STEPS, const int order=1)
 \( u\in U \), \( z\in Z \), \( p\in C^\ast \), \( v \in U \), \( hv \in U^\ast \) More...
 
std::vector< std::vector< Real > > checkApplyAdjointHessian_21 (const Vector< Real > &u, const Vector< Real > &z, const Vector< Real > &p, const Vector< Real > &v, const Vector< Real > &hv, const std::vector< Real > &steps, const bool printToStream=true, std::ostream &outStream=std::cout, const int order=1)
 \( u\in U \), \( z\in Z \), \( p\in C^\ast \), \( v \in U \), \( hv \in U^\ast \) More...
 
std::vector< std::vector< Real > > checkApplyAdjointHessian_12 (const Vector< Real > &u, const Vector< Real > &z, const Vector< Real > &p, const Vector< Real > &v, const Vector< Real > &hv, const bool printToStream=true, std::ostream &outStream=std::cout, const int numSteps=ROL_NUM_CHECKDERIV_STEPS, const int order=1)
 \( u\in U \), \( z\in Z \), \( p\in C^\ast \), \( v \in U \), \( hv \in U^\ast \) More...
 
std::vector< std::vector< Real > > checkApplyAdjointHessian_12 (const Vector< Real > &u, const Vector< Real > &z, const Vector< Real > &p, const Vector< Real > &v, const Vector< Real > &hv, const std::vector< Real > &steps, const bool printToStream=true, std::ostream &outStream=std::cout, const int order=1)
 
std::vector< std::vector< Real > > checkApplyAdjointHessian_22 (const Vector< Real > &u, const Vector< Real > &z, const Vector< Real > &p, const Vector< Real > &v, const Vector< Real > &hv, const bool printToStream=true, std::ostream &outStream=std::cout, const int numSteps=ROL_NUM_CHECKDERIV_STEPS, const int order=1)
 
std::vector< std::vector< Real > > checkApplyAdjointHessian_22 (const Vector< Real > &u, const Vector< Real > &z, const Vector< Real > &p, const Vector< Real > &v, const Vector< Real > &hv, const std::vector< Real > &steps, const bool printToStream=true, std::ostream &outStream=std::cout, const int order=1)
 
- Public Member Functions inherited from ROL::Constraint< Real >
virtual ~Constraint (void)
 
 Constraint (void)
 
virtual void applyAdjointJacobian (Vector< Real > &ajv, const Vector< Real > &v, const Vector< Real > &x, const Vector< Real > &dualv, Real &tol)
 Apply the adjoint of the the constraint Jacobian at \(x\), \(c'(x)^* \in L(\mathcal{C}^*, \mathcal{X}^*)\), to vector \(v\). More...
 
void activate (void)
 Turn on constraints. More...
 
void deactivate (void)
 Turn off constraints. More...
 
bool isActivated (void)
 Check if constraints are on. More...
 
virtual std::vector
< std::vector< Real > > 
checkApplyJacobian (const Vector< Real > &x, const Vector< Real > &v, const Vector< Real > &jv, const std::vector< Real > &steps, const bool printToStream=true, std::ostream &outStream=std::cout, const int order=1)
 Finite-difference check for the constraint Jacobian application. More...
 
virtual std::vector
< std::vector< Real > > 
checkApplyJacobian (const Vector< Real > &x, const Vector< Real > &v, const Vector< Real > &jv, const bool printToStream=true, std::ostream &outStream=std::cout, const int numSteps=ROL_NUM_CHECKDERIV_STEPS, const int order=1)
 Finite-difference check for the constraint Jacobian application. More...
 
virtual std::vector
< std::vector< Real > > 
checkApplyAdjointJacobian (const Vector< Real > &x, const Vector< Real > &v, const Vector< Real > &c, const Vector< Real > &ajv, const bool printToStream=true, std::ostream &outStream=std::cout, const int numSteps=ROL_NUM_CHECKDERIV_STEPS)
 Finite-difference check for the application of the adjoint of constraint Jacobian. More...
 
virtual Real checkAdjointConsistencyJacobian (const Vector< Real > &w, const Vector< Real > &v, const Vector< Real > &x, const bool printToStream=true, std::ostream &outStream=std::cout)
 
virtual Real checkAdjointConsistencyJacobian (const Vector< Real > &w, const Vector< Real > &v, const Vector< Real > &x, const Vector< Real > &dualw, const Vector< Real > &dualv, const bool printToStream=true, std::ostream &outStream=std::cout)
 
virtual std::vector
< std::vector< Real > > 
checkApplyAdjointHessian (const Vector< Real > &x, const Vector< Real > &u, const Vector< Real > &v, const Vector< Real > &hv, const std::vector< Real > &step, const bool printToScreen=true, std::ostream &outStream=std::cout, const int order=1)
 Finite-difference check for the application of the adjoint of constraint Hessian. More...
 
virtual std::vector
< std::vector< Real > > 
checkApplyAdjointHessian (const Vector< Real > &x, const Vector< Real > &u, const Vector< Real > &v, const Vector< Real > &hv, const bool printToScreen=true, std::ostream &outStream=std::cout, const int numSteps=ROL_NUM_CHECKDERIV_STEPS, const int order=1)
 Finite-difference check for the application of the adjoint of constraint Hessian. More...
 
virtual void setParameter (const std::vector< Real > &param)
 

Private Types

typedef H1VectorPrimal< Real > PrimalStateVector
 
typedef H1VectorDual< Real > DualStateVector
 
typedef L2VectorPrimal< Real > PrimalControlVector
 
typedef L2VectorDual< Real > DualControlVector
 
typedef H1VectorDual< Real > PrimalConstraintVector
 
typedef H1VectorPrimal< Real > DualConstraintVector
 
typedef H1VectorPrimal< Real > PrimalStateVector
 
typedef H1VectorDual< Real > DualStateVector
 
typedef L2VectorPrimal< Real > PrimalControlVector
 
typedef L2VectorDual< Real > DualControlVector
 
typedef H1VectorDual< Real > PrimalConstraintVector
 
typedef H1VectorPrimal< Real > DualConstraintVector
 
typedef H1VectorPrimal< Real > PrimalStateVector
 
typedef H1VectorDual< Real > DualStateVector
 
typedef L2VectorPrimal< Real > PrimalControlVector
 
typedef L2VectorDual< Real > DualControlVector
 
typedef H1VectorDual< Real > PrimalConstraintVector
 
typedef H1VectorPrimal< Real > DualConstraintVector
 
typedef H1VectorPrimal< Real > PrimalStateVector
 
typedef H1VectorDual< Real > DualStateVector
 
typedef L2VectorPrimal< Real > PrimalControlVector
 
typedef L2VectorDual< Real > DualControlVector
 
typedef H1VectorDual< Real > PrimalConstraintVector
 
typedef H1VectorPrimal< Real > DualConstraintVector
 
typedef std::vector< Real >
::size_type 
uint
 
typedef H1VectorPrimal< Real > PrimalStateVector
 
typedef H1VectorDual< Real > DualStateVector
 
typedef L2VectorPrimal< Real > PrimalControlVector
 
typedef L2VectorDual< Real > DualControlVector
 
typedef H1VectorDual< Real > PrimalConstraintVector
 
typedef H1VectorPrimal< Real > DualConstraintVector
 

Private Member Functions

Real compute_norm (const std::vector< Real > &r)
 
Real dot (const std::vector< Real > &x, const std::vector< Real > &y)
 
void update (std::vector< Real > &u, const std::vector< Real > &s, const Real alpha=1.0)
 
void scale (std::vector< Real > &u, const Real alpha=0.0)
 
void compute_residual (std::vector< Real > &r, const std::vector< Real > &u, const std::vector< Real > &z)
 
void compute_pde_jacobian (std::vector< Real > &dl, std::vector< Real > &d, std::vector< Real > &du, const std::vector< Real > &u)
 
void linear_solve (std::vector< Real > &u, std::vector< Real > &dl, std::vector< Real > &d, std::vector< Real > &du, const std::vector< Real > &r, const bool transpose=false)
 
Real compute_norm (const std::vector< Real > &r)
 
Real dot (const std::vector< Real > &x, const std::vector< Real > &y)
 
void update (std::vector< Real > &u, const std::vector< Real > &s, const Real alpha=1.0)
 
void scale (std::vector< Real > &u, const Real alpha=0.0)
 
void compute_residual (std::vector< Real > &r, const std::vector< Real > &uold, const std::vector< Real > &zold, const std::vector< Real > &unew, const std::vector< Real > &znew)
 
void compute_pde_jacobian (std::vector< Real > &dl, std::vector< Real > &d, std::vector< Real > &du, const std::vector< Real > &u)
 
void apply_pde_jacobian_new (std::vector< Real > &jv, const std::vector< Real > &v, const std::vector< Real > &u, bool adjoint=false)
 
void apply_pde_jacobian_old (std::vector< Real > &jv, const std::vector< Real > &v, const std::vector< Real > &u, bool adjoint=false)
 
void apply_pde_jacobian (std::vector< Real > &jv, const std::vector< Real > &vold, const std::vector< Real > &uold, const std::vector< Real > &vnew, const std::vector< Real > unew, bool adjoint=false)
 
void apply_pde_hessian (std::vector< Real > &hv, const std::vector< Real > &wold, const std::vector< Real > &vold, const std::vector< Real > &wnew, const std::vector< Real > &vnew)
 
void apply_control_jacobian (std::vector< Real > &jv, const std::vector< Real > &v, bool adjoint=false)
 
void run_newton (std::vector< Real > &u, const std::vector< Real > &znew, const std::vector< Real > &uold, const std::vector< Real > &zold)
 
void linear_solve (std::vector< Real > &u, const std::vector< Real > &dl, const std::vector< Real > &d, const std::vector< Real > &du, const std::vector< Real > &r, const bool transpose=false)
 
Real compute_norm (const std::vector< Real > &r)
 
Real dot (const std::vector< Real > &x, const std::vector< Real > &y)
 
void update (std::vector< Real > &u, const std::vector< Real > &s, const Real alpha=1.0)
 
void scale (std::vector< Real > &u, const Real alpha=0.0)
 
void compute_residual (std::vector< Real > &r, const std::vector< Real > &u, const std::vector< Real > &z)
 
void compute_pde_jacobian (std::vector< Real > &dl, std::vector< Real > &d, std::vector< Real > &du, const std::vector< Real > &u)
 
void linear_solve (std::vector< Real > &u, std::vector< Real > &dl, std::vector< Real > &d, std::vector< Real > &du, const std::vector< Real > &r, const bool transpose=false)
 
Real compute_norm (const std::vector< Real > &r)
 
Real dot (const std::vector< Real > &x, const std::vector< Real > &y)
 
void update (std::vector< Real > &u, const std::vector< Real > &s, const Real alpha=1.0)
 
void scale (std::vector< Real > &u, const Real alpha=0.0)
 
void compute_residual (std::vector< Real > &r, const std::vector< Real > &u, const std::vector< Real > &z)
 
void compute_pde_jacobian (std::vector< Real > &dl, std::vector< Real > &d, std::vector< Real > &du, const std::vector< Real > &u)
 
void linear_solve (std::vector< Real > &u, std::vector< Real > &dl, std::vector< Real > &d, std::vector< Real > &du, const std::vector< Real > &r, const bool transpose=false)
 

Private Attributes

ROL::Ptr< BurgersFEM< Real > > fem_
 
bool useHessian_
 
int nx_
 
Real dx_
 
Real nu_
 
Real u0_
 
Real u1_
 
Real f_
 
unsigned nx_
 
unsigned nt_
 
Real T_
 
Real dt_
 
std::vector< Real > u_init_
 

Additional Inherited Members

- Protected Member Functions inherited from ROL::Constraint< Real >
const std::vector< Real > getParameter (void) const
 
- Protected Attributes inherited from ROL::Constraint_SimOpt< Real >
Real atol_
 
Real rtol_
 
Real stol_
 
Real factor_
 
Real decr_
 
int maxit_
 
bool print_
 
bool zero_
 
int solverType_
 
bool firstSolve_
 

Detailed Description

template<class Real>
class Constraint_BurgersControl< Real >

Definition at line 670 of file test_04.hpp.

Member Typedef Documentation

template<class Real>
typedef H1VectorPrimal<Real> Constraint_BurgersControl< Real >::PrimalStateVector
private

Definition at line 673 of file test_04.hpp.

template<class Real>
typedef H1VectorDual<Real> Constraint_BurgersControl< Real >::DualStateVector
private

Definition at line 674 of file test_04.hpp.

template<class Real>
typedef L2VectorPrimal<Real> Constraint_BurgersControl< Real >::PrimalControlVector
private

Definition at line 676 of file test_04.hpp.

template<class Real>
typedef L2VectorDual<Real> Constraint_BurgersControl< Real >::DualControlVector
private

Definition at line 677 of file test_04.hpp.

template<class Real>
typedef H1VectorDual<Real> Constraint_BurgersControl< Real >::PrimalConstraintVector
private

Definition at line 679 of file test_04.hpp.

template<class Real>
typedef H1VectorPrimal<Real> Constraint_BurgersControl< Real >::DualConstraintVector
private

Definition at line 680 of file test_04.hpp.

template<class Real>
typedef H1VectorPrimal<Real> Constraint_BurgersControl< Real >::PrimalStateVector
private

Definition at line 854 of file example_04.hpp.

template<class Real>
typedef H1VectorDual<Real> Constraint_BurgersControl< Real >::DualStateVector
private

Definition at line 855 of file example_04.hpp.

template<class Real>
typedef L2VectorPrimal<Real> Constraint_BurgersControl< Real >::PrimalControlVector
private

Definition at line 857 of file example_04.hpp.

template<class Real>
typedef L2VectorDual<Real> Constraint_BurgersControl< Real >::DualControlVector
private

Definition at line 858 of file example_04.hpp.

template<class Real>
typedef H1VectorDual<Real> Constraint_BurgersControl< Real >::PrimalConstraintVector
private

Definition at line 860 of file example_04.hpp.

template<class Real>
typedef H1VectorPrimal<Real> Constraint_BurgersControl< Real >::DualConstraintVector
private

Definition at line 861 of file example_04.hpp.

template<class Real>
typedef H1VectorPrimal<Real> Constraint_BurgersControl< Real >::PrimalStateVector
private

Definition at line 858 of file example_06.hpp.

template<class Real>
typedef H1VectorDual<Real> Constraint_BurgersControl< Real >::DualStateVector
private

Definition at line 859 of file example_06.hpp.

template<class Real>
typedef L2VectorPrimal<Real> Constraint_BurgersControl< Real >::PrimalControlVector
private

Definition at line 861 of file example_06.hpp.

template<class Real>
typedef L2VectorDual<Real> Constraint_BurgersControl< Real >::DualControlVector
private

Definition at line 862 of file example_06.hpp.

template<class Real>
typedef H1VectorDual<Real> Constraint_BurgersControl< Real >::PrimalConstraintVector
private

Definition at line 864 of file example_06.hpp.

template<class Real>
typedef H1VectorPrimal<Real> Constraint_BurgersControl< Real >::DualConstraintVector
private

Definition at line 865 of file example_06.hpp.

template<class Real>
typedef H1VectorPrimal<Real> Constraint_BurgersControl< Real >::PrimalStateVector
private

Definition at line 862 of file example_07.hpp.

template<class Real>
typedef H1VectorDual<Real> Constraint_BurgersControl< Real >::DualStateVector
private

Definition at line 863 of file example_07.hpp.

template<class Real>
typedef L2VectorPrimal<Real> Constraint_BurgersControl< Real >::PrimalControlVector
private

Definition at line 865 of file example_07.hpp.

template<class Real>
typedef L2VectorDual<Real> Constraint_BurgersControl< Real >::DualControlVector
private

Definition at line 866 of file example_07.hpp.

template<class Real>
typedef H1VectorDual<Real> Constraint_BurgersControl< Real >::PrimalConstraintVector
private

Definition at line 868 of file example_07.hpp.

template<class Real>
typedef H1VectorPrimal<Real> Constraint_BurgersControl< Real >::DualConstraintVector
private

Definition at line 869 of file example_07.hpp.

template<class Real>
typedef std::vector<Real>::size_type Constraint_BurgersControl< Real >::uint
private

Definition at line 871 of file example_07.hpp.

template<class Real>
typedef H1VectorPrimal<Real> Constraint_BurgersControl< Real >::PrimalStateVector
private

Definition at line 662 of file example_08.hpp.

template<class Real>
typedef H1VectorDual<Real> Constraint_BurgersControl< Real >::DualStateVector
private

Definition at line 663 of file example_08.hpp.

template<class Real>
typedef L2VectorPrimal<Real> Constraint_BurgersControl< Real >::PrimalControlVector
private

Definition at line 665 of file example_08.hpp.

template<class Real>
typedef L2VectorDual<Real> Constraint_BurgersControl< Real >::DualControlVector
private

Definition at line 666 of file example_08.hpp.

template<class Real>
typedef H1VectorDual<Real> Constraint_BurgersControl< Real >::PrimalConstraintVector
private

Definition at line 668 of file example_08.hpp.

template<class Real>
typedef H1VectorPrimal<Real> Constraint_BurgersControl< Real >::DualConstraintVector
private

Definition at line 669 of file example_08.hpp.

Constructor & Destructor Documentation

template<class Real>
Constraint_BurgersControl< Real >::Constraint_BurgersControl ( const ROL::Ptr< BurgersFEM< Real > > &  fem,
const bool  useHessian = true 
)
inline

Definition at line 686 of file test_04.hpp.

template<class Real>
Constraint_BurgersControl< Real >::Constraint_BurgersControl ( int  nx = 128,
Real  nu = 1.e-2,
Real  u0 = 1.0,
Real  u1 = 0.0,
Real  f = 0.0 
)
inline
template<class Real>
Constraint_BurgersControl< Real >::Constraint_BurgersControl ( int  nx = 128,
int  nt = 100,
Real  T = 1,
Real  nu = 1.e-2,
Real  u0 = 0.0,
Real  u1 = 0.0,
Real  f = 0.0 
)
inline
template<class Real>
Constraint_BurgersControl< Real >::Constraint_BurgersControl ( ROL::Ptr< BurgersFEM< Real > > &  fem,
bool  useHessian = true 
)
inline

Definition at line 867 of file example_04.hpp.

template<class Real>
Constraint_BurgersControl< Real >::Constraint_BurgersControl ( int  nx = 128)
inline

Definition at line 156 of file example_05.hpp.

template<class Real>
Constraint_BurgersControl< Real >::Constraint_BurgersControl ( ROL::Ptr< BurgersFEM< Real > > &  fem,
bool  useHessian = true 
)
inline

Definition at line 871 of file example_06.hpp.

template<class Real>
Constraint_BurgersControl< Real >::Constraint_BurgersControl ( ROL::Ptr< BurgersFEM< Real > > &  fem,
bool  useHessian = true 
)
inline

Definition at line 877 of file example_07.hpp.

template<class Real>
Constraint_BurgersControl< Real >::Constraint_BurgersControl ( ROL::Ptr< BurgersFEM< Real > > &  fem,
bool  useHessian = true 
)
inline

Definition at line 675 of file example_08.hpp.

template<class Real>
Constraint_BurgersControl< Real >::Constraint_BurgersControl ( int  nx = 128)
inline

Definition at line 158 of file example_10.hpp.

Member Function Documentation

template<class Real>
void Constraint_BurgersControl< Real >::value ( ROL::Vector< Real > &  c,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Evaluate the constraint operator \(c:\mathcal{U}\times\mathcal{Z} \rightarrow \mathcal{C}\) at \((u,z)\).

Parameters
[out]cis the result of evaluating the constraint operator at \((u,z)\); a constraint-space vector
[in]uis the constraint argument; a simulation-space vector
[in]zis the constraint argument; an optimization-space vector
[in,out]tolis a tolerance for inexact evaluations; currently unused

On return, \(\mathsf{c} = c(u,z)\), where \(\mathsf{c} \in \mathcal{C}\), \(\mathsf{u} \in \mathcal{U}\), and $ \(\mathsf{z} \in\mathcal{Z}\).


Implements ROL::Constraint_SimOpt< Real >.

Definition at line 690 of file test_04.hpp.

References Constraint_BurgersControl< Real >::fem_.

Referenced by Constraint_BurgersControl< Real >::solve().

template<class Real>
void Constraint_BurgersControl< Real >::applyJacobian_1 ( ROL::Vector< Real > &  jv,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the partial constraint Jacobian at \((u,z)\), \(c_u(u,z) \in L(\mathcal{U}, \mathcal{C})\), to the vector \(v\).

  @param[out]      jv  is the result of applying the constraint Jacobian to @b v at @b  \form#218; a constraint-space vector
  @param[in]       v   is a simulation-space vector
  @param[in]       u   is the constraint argument; an simulation-space vector
  @param[in]       z   is the constraint argument; an optimization-space vector
  @param[in,out]   tol is a tolerance for inexact evaluations; currently unused

  On return, \form#224, where

\(v \in \mathcal{U}\), \(\mathsf{jv} \in \mathcal{C}\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 702 of file test_04.hpp.

References Constraint_BurgersControl< Real >::fem_.

template<class Real>
void Constraint_BurgersControl< Real >::applyJacobian_2 ( ROL::Vector< Real > &  jv,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the partial constraint Jacobian at \((u,z)\), \(c_z(u,z) \in L(\mathcal{Z}, \mathcal{C})\), to the vector \(v\).

  @param[out]      jv  is the result of applying the constraint Jacobian to @b v at @b  \form#218; a constraint-space vector
  @param[in]       v   is an optimization-space vector
  @param[in]       u   is the constraint argument; a simulation-space vector
  @param[in]       z   is the constraint argument; an optimization-space vector
  @param[in,out]   tol is a tolerance for inexact evaluations; currently unused

  On return, \form#227, where

\(v \in \mathcal{Z}\), \(\mathsf{jv} \in \mathcal{C}\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 716 of file test_04.hpp.

References Constraint_BurgersControl< Real >::fem_.

template<class Real>
void Constraint_BurgersControl< Real >::applyInverseJacobian_1 ( ROL::Vector< Real > &  ijv,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the inverse partial constraint Jacobian at \((u,z)\), \(c_u(u,z)^{-1} \in L(\mathcal{C}, \mathcal{U})\), to the vector \(v\).

  @param[out]      ijv is the result of applying the inverse constraint Jacobian to @b v at @b  \form#218; a simulation-space vector
  @param[in]       v   is a constraint-space vector
  @param[in]       u   is the constraint argument; a simulation-space vector
  @param[in]       z   is the constraint argument; an optimization-space vector
  @param[in,out]   tol is a tolerance for inexact evaluations; currently unused

  On return, \form#230, where

\(v \in \mathcal{C}\), \(\mathsf{ijv} \in \mathcal{U}\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 730 of file test_04.hpp.

References Constraint_BurgersControl< Real >::fem_.

template<class Real>
void Constraint_BurgersControl< Real >::applyAdjointJacobian_1 ( ROL::Vector< Real > &  ajv,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the adjoint of the partial constraint Jacobian at \((u,z)\), \(c_u(u,z)^* \in L(\mathcal{C}^*, \mathcal{U}^*)\), to the vector \(v\). This is the primary interface.

  @param[out]      ajv    is the result of applying the adjoint of the constraint Jacobian to @b v at @b (u,z); a dual simulation-space vector
  @param[in]       v      is a dual constraint-space vector
  @param[in]       u      is the constraint argument; a simulation-space vector
  @param[in]       z      is the constraint argument; an optimization-space vector
  @param[in,out]   tol    is a tolerance for inexact evaluations; currently unused

  On return, \form#233, where

\(v \in \mathcal{C}^*\), \(\mathsf{ajv} \in \mathcal{U}^*\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 744 of file test_04.hpp.

References Constraint_BurgersControl< Real >::fem_.

template<class Real>
void Constraint_BurgersControl< Real >::applyAdjointJacobian_2 ( ROL::Vector< Real > &  ajv,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the adjoint of the partial constraint Jacobian at \((u,z)\), \(c_z(u,z)^* \in L(\mathcal{C}^*, \mathcal{Z}^*)\), to vector \(v\). This is the primary interface.

  @param[out]      ajv    is the result of applying the adjoint of the constraint Jacobian to @b v at @b  \form#218; a dual optimization-space vector
  @param[in]       v      is a dual constraint-space vector
  @param[in]       u      is the constraint argument; a simulation-space vector
  @param[in]       z      is the constraint argument; an optimization-space vector
  @param[in,out]   tol    is a tolerance for inexact evaluations; currently unused

  On return, \form#236, where

\(v \in \mathcal{C}^*\), \(\mathsf{ajv} \in \mathcal{Z}^*\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 758 of file test_04.hpp.

References Constraint_BurgersControl< Real >::fem_.

template<class Real>
void Constraint_BurgersControl< Real >::applyInverseAdjointJacobian_1 ( ROL::Vector< Real > &  iajv,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the inverse of the adjoint of the partial constraint Jacobian at \((u,z)\), \(c_u(u,z)^{-*} \in L(\mathcal{U}^*, \mathcal{C}^*)\), to the vector \(v\).

  @param[out]      iajv is the result of applying the inverse adjoint of the constraint Jacobian to @b v at @b (u,z); a dual constraint-space vector
  @param[in]       v   is a dual simulation-space vector
  @param[in]       u   is the constraint argument; a simulation-space vector
  @param[in]       z   is the constraint argument; an optimization-space vector
  @param[in,out]   tol is a tolerance for inexact evaluations; currently unused

  On return, \form#239, where

\(v \in \mathcal{U}^*\), \(\mathsf{iajv} \in \mathcal{C}^*\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 772 of file test_04.hpp.

References Constraint_BurgersControl< Real >::fem_.

Referenced by main().

template<class Real>
void Constraint_BurgersControl< Real >::applyAdjointHessian_11 ( ROL::Vector< Real > &  ahwv,
const ROL::Vector< Real > &  w,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the simulation-space derivative of the adjoint of the constraint simulation-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{uu}(u,z)(v,\cdot)^*w\).

  @param[out]      ahwv is the result of applying the simulation-space derivative of the adjoint of the constraint simulation-space Jacobian at @b  \form#218 to the vector @b  \form#242 in direction @b  \form#242; a dual simulation-space vector
  @param[in]       w    is the direction vector; a dual constraint-space vector
  @param[in]       v    is a simulation-space vector
  @param[in]       u    is the constraint argument; a simulation-space vector
  @param[in]       z    is the constraint argument; an optimization-space vector
  @param[in,out]   tol  is a tolerance for inexact evaluations; currently unused

  On return, \form#244, where

\(w \in \mathcal{C}^*\), \(v \in \mathcal{U}\), and \(\mathsf{ahwv} \in \mathcal{U}^*\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 786 of file test_04.hpp.

References Constraint_BurgersControl< Real >::fem_, Constraint_BurgersControl< Real >::useHessian_, and ROL::Vector< Real >::zero().

template<class Real>
void Constraint_BurgersControl< Real >::applyAdjointHessian_12 ( ROL::Vector< Real > &  ahwv,
const ROL::Vector< Real > &  w,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the optimization-space derivative of the adjoint of the constraint simulation-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{uz}(u,z)(v,\cdot)^*w\).

  @param[out]      ahwv is the result of applying the optimization-space derivative of the adjoint of the constraint simulation-space Jacobian at @b  \form#218 to the vector @b  \form#242 in direction @b  \form#242; a dual optimization-space vector
  @param[in]       w    is the direction vector; a dual constraint-space vector
  @param[in]       v    is a simulation-space vector
  @param[in]       u    is the constraint argument; a simulation-space vector
  @param[in]       z    is the constraint argument; an optimization-space vector
  @param[in,out]   tol  is a tolerance for inexact evaluations; currently unused

  On return, \form#248, where

\(w \in \mathcal{C}^*\), \(v \in \mathcal{U}\), and \(\mathsf{ahwv} \in \mathcal{Z}^*\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 807 of file test_04.hpp.

References Constraint_BurgersControl< Real >::fem_, Constraint_BurgersControl< Real >::useHessian_, and ROL::Vector< Real >::zero().

template<class Real>
void Constraint_BurgersControl< Real >::applyAdjointHessian_21 ( ROL::Vector< Real > &  ahwv,
const ROL::Vector< Real > &  w,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the simulation-space derivative of the adjoint of the constraint optimization-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{zu}(u,z)(v,\cdot)^*w\).

  @param[out]      ahwv is the result of applying the simulation-space derivative of the adjoint of the constraint optimization-space Jacobian at @b  \form#218 to the vector @b  \form#242 in direction @b  \form#242; a dual simulation-space vector
  @param[in]       w    is the direction vector; a dual constraint-space vector
  @param[in]       v    is a optimization-space vector
  @param[in]       u    is the constraint argument; a simulation-space vector
  @param[in]       z    is the constraint argument; an optimization-space vector
  @param[in,out]   tol  is a tolerance for inexact evaluations; currently unused

  On return, \form#251, where

\(w \in \mathcal{C}^*\), \(v \in \mathcal{Z}\), and \(\mathsf{ahwv} \in \mathcal{U}^*\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 827 of file test_04.hpp.

References Constraint_BurgersControl< Real >::fem_, Constraint_BurgersControl< Real >::useHessian_, and ROL::Vector< Real >::zero().

template<class Real>
void Constraint_BurgersControl< Real >::applyAdjointHessian_22 ( ROL::Vector< Real > &  ahwv,
const ROL::Vector< Real > &  w,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the optimization-space derivative of the adjoint of the constraint optimization-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{zz}(u,z)(v,\cdot)^*w\).

  @param[out]      ahwv is the result of applying the optimization-space derivative of the adjoint of the constraint optimization-space Jacobian at @b  \form#218 to the vector @b  \form#242 in direction @b  \form#242; a dual optimization-space vector
  @param[in]       w    is the direction vector; a dual constraint-space vector
  @param[in]       v    is a optimization-space vector
  @param[in]       u    is the constraint argument; a simulation-space vector
  @param[in]       z    is the constraint argument; an optimization-space vector
  @param[in,out]   tol  is a tolerance for inexact evaluations; currently unused

  On return, \form#253, where

\(w \in \mathcal{C}^*\), \(v \in \mathcal{Z}\), and \(\mathsf{ahwv} \in \mathcal{Z}^*\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 847 of file test_04.hpp.

References Constraint_BurgersControl< Real >::fem_, Constraint_BurgersControl< Real >::useHessian_, and ROL::Vector< Real >::zero().

template<class Real>
Real Constraint_BurgersControl< Real >::compute_norm ( const std::vector< Real > &  r)
inlineprivate
template<class Real>
Real Constraint_BurgersControl< Real >::dot ( const std::vector< Real > &  x,
const std::vector< Real > &  y 
)
inlineprivate
template<class Real>
void Constraint_BurgersControl< Real >::update ( std::vector< Real > &  u,
const std::vector< Real > &  s,
const Real  alpha = 1.0 
)
inlineprivate
template<class Real>
void Constraint_BurgersControl< Real >::scale ( std::vector< Real > &  u,
const Real  alpha = 0.0 
)
inlineprivate

Definition at line 59 of file burgers-control/example_02.hpp.

template<class Real>
void Constraint_BurgersControl< Real >::compute_residual ( std::vector< Real > &  r,
const std::vector< Real > &  u,
const std::vector< Real > &  z 
)
inlineprivate
template<class Real>
void Constraint_BurgersControl< Real >::compute_pde_jacobian ( std::vector< Real > &  dl,
std::vector< Real > &  d,
std::vector< Real > &  du,
const std::vector< Real > &  u 
)
inlineprivate
template<class Real>
void Constraint_BurgersControl< Real >::linear_solve ( std::vector< Real > &  u,
std::vector< Real > &  dl,
std::vector< Real > &  d,
std::vector< Real > &  du,
const std::vector< Real > &  r,
const bool  transpose = false 
)
inlineprivate
template<class Real>
void Constraint_BurgersControl< Real >::value ( ROL::Vector< Real > &  c,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Evaluate the constraint operator \(c:\mathcal{U}\times\mathcal{Z} \rightarrow \mathcal{C}\) at \((u,z)\).

Parameters
[out]cis the result of evaluating the constraint operator at \((u,z)\); a constraint-space vector
[in]uis the constraint argument; a simulation-space vector
[in]zis the constraint argument; an optimization-space vector
[in,out]tolis a tolerance for inexact evaluations; currently unused

On return, \(\mathsf{c} = c(u,z)\), where \(\mathsf{c} \in \mathcal{C}\), \(\mathsf{u} \in \mathcal{U}\), and $ \(\mathsf{z} \in\mathcal{Z}\).


Implements ROL::Constraint_SimOpt< Real >.

Definition at line 147 of file burgers-control/example_02.hpp.

References Constraint_BurgersControl< Real >::compute_residual().

template<class Real>
void Constraint_BurgersControl< Real >::applyJacobian_1 ( ROL::Vector< Real > &  jv,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the partial constraint Jacobian at \((u,z)\), \(c_u(u,z) \in L(\mathcal{U}, \mathcal{C})\), to the vector \(v\).

  @param[out]      jv  is the result of applying the constraint Jacobian to @b v at @b  \form#218; a constraint-space vector
  @param[in]       v   is a simulation-space vector
  @param[in]       u   is the constraint argument; an simulation-space vector
  @param[in]       z   is the constraint argument; an optimization-space vector
  @param[in,out]   tol is a tolerance for inexact evaluations; currently unused

  On return, \form#224, where

\(v \in \mathcal{U}\), \(\mathsf{jv} \in \mathcal{C}\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 158 of file burgers-control/example_02.hpp.

References Constraint_BurgersControl< Real >::dx_, Constraint_BurgersControl< Real >::nu_, Constraint_BurgersControl< Real >::nx_, Constraint_BurgersControl< Real >::u0_, and Constraint_BurgersControl< Real >::u1_.

template<class Real>
void Constraint_BurgersControl< Real >::applyJacobian_2 ( ROL::Vector< Real > &  jv,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the partial constraint Jacobian at \((u,z)\), \(c_z(u,z) \in L(\mathcal{Z}, \mathcal{C})\), to the vector \(v\).

  @param[out]      jv  is the result of applying the constraint Jacobian to @b v at @b  \form#218; a constraint-space vector
  @param[in]       v   is an optimization-space vector
  @param[in]       u   is the constraint argument; a simulation-space vector
  @param[in]       z   is the constraint argument; an optimization-space vector
  @param[in,out]   tol is a tolerance for inexact evaluations; currently unused

  On return, \form#227, where

\(v \in \mathcal{Z}\), \(\mathsf{jv} \in \mathcal{C}\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 186 of file burgers-control/example_02.hpp.

References Constraint_BurgersControl< Real >::dx_, and Constraint_BurgersControl< Real >::nx_.

template<class Real>
void Constraint_BurgersControl< Real >::applyInverseJacobian_1 ( ROL::Vector< Real > &  ijv,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the inverse partial constraint Jacobian at \((u,z)\), \(c_u(u,z)^{-1} \in L(\mathcal{C}, \mathcal{U})\), to the vector \(v\).

  @param[out]      ijv is the result of applying the inverse constraint Jacobian to @b v at @b  \form#218; a simulation-space vector
  @param[in]       v   is a constraint-space vector
  @param[in]       u   is the constraint argument; a simulation-space vector
  @param[in]       z   is the constraint argument; an optimization-space vector
  @param[in,out]   tol is a tolerance for inexact evaluations; currently unused

  On return, \form#230, where

\(v \in \mathcal{C}\), \(\mathsf{ijv} \in \mathcal{U}\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 202 of file burgers-control/example_02.hpp.

References Constraint_BurgersControl< Real >::compute_pde_jacobian(), Constraint_BurgersControl< Real >::linear_solve(), and Constraint_BurgersControl< Real >::nx_.

template<class Real>
void Constraint_BurgersControl< Real >::applyAdjointJacobian_1 ( ROL::Vector< Real > &  ajv,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the adjoint of the partial constraint Jacobian at \((u,z)\), \(c_u(u,z)^* \in L(\mathcal{C}^*, \mathcal{U}^*)\), to the vector \(v\). This is the primary interface.

  @param[out]      ajv    is the result of applying the adjoint of the constraint Jacobian to @b v at @b (u,z); a dual simulation-space vector
  @param[in]       v      is a dual constraint-space vector
  @param[in]       u      is the constraint argument; a simulation-space vector
  @param[in]       z      is the constraint argument; an optimization-space vector
  @param[in,out]   tol    is a tolerance for inexact evaluations; currently unused

  On return, \form#233, where

\(v \in \mathcal{C}^*\), \(\mathsf{ajv} \in \mathcal{U}^*\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 221 of file burgers-control/example_02.hpp.

References Constraint_BurgersControl< Real >::dx_, Constraint_BurgersControl< Real >::nu_, Constraint_BurgersControl< Real >::nx_, Constraint_BurgersControl< Real >::u0_, and Constraint_BurgersControl< Real >::u1_.

template<class Real>
void Constraint_BurgersControl< Real >::applyAdjointJacobian_2 ( ROL::Vector< Real > &  ajv,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the adjoint of the partial constraint Jacobian at \((u,z)\), \(c_z(u,z)^* \in L(\mathcal{C}^*, \mathcal{Z}^*)\), to vector \(v\). This is the primary interface.

  @param[out]      ajv    is the result of applying the adjoint of the constraint Jacobian to @b v at @b  \form#218; a dual optimization-space vector
  @param[in]       v      is a dual constraint-space vector
  @param[in]       u      is the constraint argument; a simulation-space vector
  @param[in]       z      is the constraint argument; an optimization-space vector
  @param[in,out]   tol    is a tolerance for inexact evaluations; currently unused

  On return, \form#236, where

\(v \in \mathcal{C}^*\), \(\mathsf{ajv} \in \mathcal{Z}^*\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 249 of file burgers-control/example_02.hpp.

References Constraint_BurgersControl< Real >::dx_, and Constraint_BurgersControl< Real >::nx_.

template<class Real>
void Constraint_BurgersControl< Real >::applyInverseAdjointJacobian_1 ( ROL::Vector< Real > &  iajv,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the inverse of the adjoint of the partial constraint Jacobian at \((u,z)\), \(c_u(u,z)^{-*} \in L(\mathcal{U}^*, \mathcal{C}^*)\), to the vector \(v\).

  @param[out]      iajv is the result of applying the inverse adjoint of the constraint Jacobian to @b v at @b (u,z); a dual constraint-space vector
  @param[in]       v   is a dual simulation-space vector
  @param[in]       u   is the constraint argument; a simulation-space vector
  @param[in]       z   is the constraint argument; an optimization-space vector
  @param[in,out]   tol is a tolerance for inexact evaluations; currently unused

  On return, \form#239, where

\(v \in \mathcal{U}^*\), \(\mathsf{iajv} \in \mathcal{C}^*\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 278 of file burgers-control/example_02.hpp.

References Constraint_BurgersControl< Real >::compute_pde_jacobian(), Constraint_BurgersControl< Real >::linear_solve(), and Constraint_BurgersControl< Real >::nx_.

template<class Real>
void Constraint_BurgersControl< Real >::applyAdjointHessian_11 ( ROL::Vector< Real > &  ahwv,
const ROL::Vector< Real > &  w,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the simulation-space derivative of the adjoint of the constraint simulation-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{uu}(u,z)(v,\cdot)^*w\).

  @param[out]      ahwv is the result of applying the simulation-space derivative of the adjoint of the constraint simulation-space Jacobian at @b  \form#218 to the vector @b  \form#242 in direction @b  \form#242; a dual simulation-space vector
  @param[in]       w    is the direction vector; a dual constraint-space vector
  @param[in]       v    is a simulation-space vector
  @param[in]       u    is the constraint argument; a simulation-space vector
  @param[in]       z    is the constraint argument; an optimization-space vector
  @param[in,out]   tol  is a tolerance for inexact evaluations; currently unused

  On return, \form#244, where

\(w \in \mathcal{C}^*\), \(v \in \mathcal{U}\), and \(\mathsf{ahwv} \in \mathcal{U}^*\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 295 of file burgers-control/example_02.hpp.

References Constraint_BurgersControl< Real >::nx_.

template<class Real>
void Constraint_BurgersControl< Real >::applyAdjointHessian_12 ( ROL::Vector< Real > &  ahwv,
const ROL::Vector< Real > &  w,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the optimization-space derivative of the adjoint of the constraint simulation-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{uz}(u,z)(v,\cdot)^*w\).

  @param[out]      ahwv is the result of applying the optimization-space derivative of the adjoint of the constraint simulation-space Jacobian at @b  \form#218 to the vector @b  \form#242 in direction @b  \form#242; a dual optimization-space vector
  @param[in]       w    is the direction vector; a dual constraint-space vector
  @param[in]       v    is a simulation-space vector
  @param[in]       u    is the constraint argument; a simulation-space vector
  @param[in]       z    is the constraint argument; an optimization-space vector
  @param[in,out]   tol  is a tolerance for inexact evaluations; currently unused

  On return, \form#248, where

\(w \in \mathcal{C}^*\), \(v \in \mathcal{U}\), and \(\mathsf{ahwv} \in \mathcal{Z}^*\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 319 of file burgers-control/example_02.hpp.

References ROL::Vector< Real >::zero().

template<class Real>
void Constraint_BurgersControl< Real >::applyAdjointHessian_21 ( ROL::Vector< Real > &  ahwv,
const ROL::Vector< Real > &  w,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the simulation-space derivative of the adjoint of the constraint optimization-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{zu}(u,z)(v,\cdot)^*w\).

  @param[out]      ahwv is the result of applying the simulation-space derivative of the adjoint of the constraint optimization-space Jacobian at @b  \form#218 to the vector @b  \form#242 in direction @b  \form#242; a dual simulation-space vector
  @param[in]       w    is the direction vector; a dual constraint-space vector
  @param[in]       v    is a optimization-space vector
  @param[in]       u    is the constraint argument; a simulation-space vector
  @param[in]       z    is the constraint argument; an optimization-space vector
  @param[in,out]   tol  is a tolerance for inexact evaluations; currently unused

  On return, \form#251, where

\(w \in \mathcal{C}^*\), \(v \in \mathcal{Z}\), and \(\mathsf{ahwv} \in \mathcal{U}^*\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 323 of file burgers-control/example_02.hpp.

References ROL::Vector< Real >::zero().

template<class Real>
void Constraint_BurgersControl< Real >::applyAdjointHessian_22 ( ROL::Vector< Real > &  ahwv,
const ROL::Vector< Real > &  w,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the optimization-space derivative of the adjoint of the constraint optimization-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{zz}(u,z)(v,\cdot)^*w\).

  @param[out]      ahwv is the result of applying the optimization-space derivative of the adjoint of the constraint optimization-space Jacobian at @b  \form#218 to the vector @b  \form#242 in direction @b  \form#242; a dual optimization-space vector
  @param[in]       w    is the direction vector; a dual constraint-space vector
  @param[in]       v    is a optimization-space vector
  @param[in]       u    is the constraint argument; a simulation-space vector
  @param[in]       z    is the constraint argument; an optimization-space vector
  @param[in,out]   tol  is a tolerance for inexact evaluations; currently unused

  On return, \form#253, where

\(w \in \mathcal{C}^*\), \(v \in \mathcal{Z}\), and \(\mathsf{ahwv} \in \mathcal{Z}^*\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 327 of file burgers-control/example_02.hpp.

References ROL::Vector< Real >::zero().

template<class Real>
Real Constraint_BurgersControl< Real >::compute_norm ( const std::vector< Real > &  r)
inlineprivate

Definition at line 52 of file example_03.hpp.

References Constraint_BurgersControl< Real >::dot().

template<class Real>
Real Constraint_BurgersControl< Real >::dot ( const std::vector< Real > &  x,
const std::vector< Real > &  y 
)
inlineprivate
template<class Real>
void Constraint_BurgersControl< Real >::update ( std::vector< Real > &  u,
const std::vector< Real > &  s,
const Real  alpha = 1.0 
)
inlineprivate

Definition at line 75 of file example_03.hpp.

template<class Real>
void Constraint_BurgersControl< Real >::scale ( std::vector< Real > &  u,
const Real  alpha = 0.0 
)
inlineprivate

Definition at line 81 of file example_03.hpp.

template<class Real>
void Constraint_BurgersControl< Real >::compute_residual ( std::vector< Real > &  r,
const std::vector< Real > &  uold,
const std::vector< Real > &  zold,
const std::vector< Real > &  unew,
const std::vector< Real > &  znew 
)
inlineprivate
template<class Real>
void Constraint_BurgersControl< Real >::compute_pde_jacobian ( std::vector< Real > &  dl,
std::vector< Real > &  d,
std::vector< Real > &  du,
const std::vector< Real > &  u 
)
inlineprivate
template<class Real>
void Constraint_BurgersControl< Real >::apply_pde_jacobian_new ( std::vector< Real > &  jv,
const std::vector< Real > &  v,
const std::vector< Real > &  u,
bool  adjoint = false 
)
inlineprivate
template<class Real>
void Constraint_BurgersControl< Real >::apply_pde_jacobian_old ( std::vector< Real > &  jv,
const std::vector< Real > &  v,
const std::vector< Real > &  u,
bool  adjoint = false 
)
inlineprivate
template<class Real>
void Constraint_BurgersControl< Real >::apply_pde_jacobian ( std::vector< Real > &  jv,
const std::vector< Real > &  vold,
const std::vector< Real > &  uold,
const std::vector< Real > &  vnew,
const std::vector< Real >  unew,
bool  adjoint = false 
)
inlineprivate
template<class Real>
void Constraint_BurgersControl< Real >::apply_pde_hessian ( std::vector< Real > &  hv,
const std::vector< Real > &  wold,
const std::vector< Real > &  vold,
const std::vector< Real > &  wnew,
const std::vector< Real > &  vnew 
)
inlineprivate
template<class Real>
void Constraint_BurgersControl< Real >::apply_control_jacobian ( std::vector< Real > &  jv,
const std::vector< Real > &  v,
bool  adjoint = false 
)
inlineprivate
template<class Real>
void Constraint_BurgersControl< Real >::run_newton ( std::vector< Real > &  u,
const std::vector< Real > &  znew,
const std::vector< Real > &  uold,
const std::vector< Real > &  zold 
)
inlineprivate
template<class Real>
void Constraint_BurgersControl< Real >::linear_solve ( std::vector< Real > &  u,
const std::vector< Real > &  dl,
const std::vector< Real > &  d,
const std::vector< Real > &  du,
const std::vector< Real > &  r,
const bool  transpose = false 
)
inlineprivate
template<class Real>
void Constraint_BurgersControl< Real >::value ( ROL::Vector< Real > &  c,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Evaluate the constraint operator \(c:\mathcal{U}\times\mathcal{Z} \rightarrow \mathcal{C}\) at \((u,z)\).

Parameters
[out]cis the result of evaluating the constraint operator at \((u,z)\); a constraint-space vector
[in]uis the constraint argument; a simulation-space vector
[in]zis the constraint argument; an optimization-space vector
[in,out]tolis a tolerance for inexact evaluations; currently unused

On return, \(\mathsf{c} = c(u,z)\), where \(\mathsf{c} \in \mathcal{C}\), \(\mathsf{u} \in \mathcal{U}\), and $ \(\mathsf{z} \in\mathcal{Z}\).


Implements ROL::Constraint_SimOpt< Real >.

Definition at line 414 of file example_03.hpp.

References Constraint_BurgersControl< Real >::compute_residual(), Constraint_BurgersControl< Real >::nt_, Constraint_BurgersControl< Real >::nx_, and Constraint_BurgersControl< Real >::u_init_.

template<class Real>
void Constraint_BurgersControl< Real >::solve ( ROL::Vector< Real > &  c,
ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Given \(z\), solve \(c(u,z)=0\) for \(u\).

Parameters
[out]cis the result of evaluating the constraint operator at \((u,z)\); a constraint-space vector
[in,out]uis the solution vector; a simulation-space vector
[in]zis the constraint argument; an optimization-space vector
[in,out]tolis a tolerance for inexact evaluations; currently unused

The defualt implementation is Newton's method globalized with a backtracking line search.


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 453 of file example_03.hpp.

References ROL::Vector< Real >::norm(), Constraint_BurgersControl< Real >::nt_, Constraint_BurgersControl< Real >::nx_, Constraint_BurgersControl< Real >::run_newton(), Constraint_BurgersControl< Real >::u_init_, and Constraint_BurgersControl< Real >::value().

Referenced by main().

template<class Real>
void Constraint_BurgersControl< Real >::applyJacobian_1 ( ROL::Vector< Real > &  jv,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the partial constraint Jacobian at \((u,z)\), \(c_u(u,z) \in L(\mathcal{U}, \mathcal{C})\), to the vector \(v\).

  @param[out]      jv  is the result of applying the constraint Jacobian to @b v at @b  \form#218; a constraint-space vector
  @param[in]       v   is a simulation-space vector
  @param[in]       u   is the constraint argument; an simulation-space vector
  @param[in]       z   is the constraint argument; an optimization-space vector
  @param[in,out]   tol is a tolerance for inexact evaluations; currently unused

  On return, \form#224, where

\(v \in \mathcal{U}\), \(\mathsf{jv} \in \mathcal{C}\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 487 of file example_03.hpp.

References Constraint_BurgersControl< Real >::apply_pde_jacobian(), Constraint_BurgersControl< Real >::nt_, and Constraint_BurgersControl< Real >::nx_.

template<class Real>
void Constraint_BurgersControl< Real >::applyJacobian_2 ( ROL::Vector< Real > &  jv,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the partial constraint Jacobian at \((u,z)\), \(c_z(u,z) \in L(\mathcal{Z}, \mathcal{C})\), to the vector \(v\).

  @param[out]      jv  is the result of applying the constraint Jacobian to @b v at @b  \form#218; a constraint-space vector
  @param[in]       v   is an optimization-space vector
  @param[in]       u   is the constraint argument; a simulation-space vector
  @param[in]       z   is the constraint argument; an optimization-space vector
  @param[in,out]   tol is a tolerance for inexact evaluations; currently unused

  On return, \form#227, where

\(v \in \mathcal{Z}\), \(\mathsf{jv} \in \mathcal{C}\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 514 of file example_03.hpp.

References Constraint_BurgersControl< Real >::apply_control_jacobian(), Constraint_BurgersControl< Real >::nt_, and Constraint_BurgersControl< Real >::nx_.

template<class Real>
void Constraint_BurgersControl< Real >::applyInverseJacobian_1 ( ROL::Vector< Real > &  ijv,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the inverse partial constraint Jacobian at \((u,z)\), \(c_u(u,z)^{-1} \in L(\mathcal{C}, \mathcal{U})\), to the vector \(v\).

  @param[out]      ijv is the result of applying the inverse constraint Jacobian to @b v at @b  \form#218; a simulation-space vector
  @param[in]       v   is a constraint-space vector
  @param[in]       u   is the constraint argument; a simulation-space vector
  @param[in]       z   is the constraint argument; an optimization-space vector
  @param[in,out]   tol is a tolerance for inexact evaluations; currently unused

  On return, \form#230, where

\(v \in \mathcal{C}\), \(\mathsf{ijv} \in \mathcal{U}\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 543 of file example_03.hpp.

References Constraint_BurgersControl< Real >::apply_pde_jacobian_old(), Constraint_BurgersControl< Real >::compute_pde_jacobian(), Constraint_BurgersControl< Real >::linear_solve(), Constraint_BurgersControl< Real >::nt_, Constraint_BurgersControl< Real >::nx_, and Constraint_BurgersControl< Real >::update().

template<class Real>
void Constraint_BurgersControl< Real >::applyAdjointJacobian_1 ( ROL::Vector< Real > &  ajv,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the adjoint of the partial constraint Jacobian at \((u,z)\), \(c_u(u,z)^* \in L(\mathcal{C}^*, \mathcal{U}^*)\), to the vector \(v\). This is the primary interface.

  @param[out]      ajv    is the result of applying the adjoint of the constraint Jacobian to @b v at @b (u,z); a dual simulation-space vector
  @param[in]       v      is a dual constraint-space vector
  @param[in]       u      is the constraint argument; a simulation-space vector
  @param[in]       z      is the constraint argument; an optimization-space vector
  @param[in,out]   tol    is a tolerance for inexact evaluations; currently unused

  On return, \form#233, where

\(v \in \mathcal{C}^*\), \(\mathsf{ajv} \in \mathcal{U}^*\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 579 of file example_03.hpp.

References Constraint_BurgersControl< Real >::apply_pde_jacobian(), Constraint_BurgersControl< Real >::nt_, and Constraint_BurgersControl< Real >::nx_.

template<class Real>
void Constraint_BurgersControl< Real >::applyAdjointJacobian_2 ( ROL::Vector< Real > &  ajv,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the adjoint of the partial constraint Jacobian at \((u,z)\), \(c_z(u,z)^* \in L(\mathcal{C}^*, \mathcal{Z}^*)\), to vector \(v\). This is the primary interface.

  @param[out]      ajv    is the result of applying the adjoint of the constraint Jacobian to @b v at @b  \form#218; a dual optimization-space vector
  @param[in]       v      is a dual constraint-space vector
  @param[in]       u      is the constraint argument; a simulation-space vector
  @param[in]       z      is the constraint argument; an optimization-space vector
  @param[in,out]   tol    is a tolerance for inexact evaluations; currently unused

  On return, \form#236, where

\(v \in \mathcal{C}^*\), \(\mathsf{ajv} \in \mathcal{Z}^*\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 604 of file example_03.hpp.

References Constraint_BurgersControl< Real >::apply_control_jacobian(), Constraint_BurgersControl< Real >::nt_, and Constraint_BurgersControl< Real >::nx_.

template<class Real>
void Constraint_BurgersControl< Real >::applyInverseAdjointJacobian_1 ( ROL::Vector< Real > &  iajv,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the inverse of the adjoint of the partial constraint Jacobian at \((u,z)\), \(c_u(u,z)^{-*} \in L(\mathcal{U}^*, \mathcal{C}^*)\), to the vector \(v\).

  @param[out]      iajv is the result of applying the inverse adjoint of the constraint Jacobian to @b v at @b (u,z); a dual constraint-space vector
  @param[in]       v   is a dual simulation-space vector
  @param[in]       u   is the constraint argument; a simulation-space vector
  @param[in]       z   is the constraint argument; an optimization-space vector
  @param[in,out]   tol is a tolerance for inexact evaluations; currently unused

  On return, \form#239, where

\(v \in \mathcal{U}^*\), \(\mathsf{iajv} \in \mathcal{C}^*\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 634 of file example_03.hpp.

References Constraint_BurgersControl< Real >::apply_pde_jacobian_old(), Constraint_BurgersControl< Real >::compute_pde_jacobian(), Constraint_BurgersControl< Real >::linear_solve(), Constraint_BurgersControl< Real >::nt_, Constraint_BurgersControl< Real >::nx_, and Constraint_BurgersControl< Real >::update().

template<class Real>
void Constraint_BurgersControl< Real >::applyAdjointHessian_11 ( ROL::Vector< Real > &  ahwv,
const ROL::Vector< Real > &  w,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the simulation-space derivative of the adjoint of the constraint simulation-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{uu}(u,z)(v,\cdot)^*w\).

  @param[out]      ahwv is the result of applying the simulation-space derivative of the adjoint of the constraint simulation-space Jacobian at @b  \form#218 to the vector @b  \form#242 in direction @b  \form#242; a dual simulation-space vector
  @param[in]       w    is the direction vector; a dual constraint-space vector
  @param[in]       v    is a simulation-space vector
  @param[in]       u    is the constraint argument; a simulation-space vector
  @param[in]       z    is the constraint argument; an optimization-space vector
  @param[in,out]   tol  is a tolerance for inexact evaluations; currently unused

  On return, \form#244, where

\(w \in \mathcal{C}^*\), \(v \in \mathcal{U}\), and \(\mathsf{ahwv} \in \mathcal{U}^*\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 668 of file example_03.hpp.

References Constraint_BurgersControl< Real >::apply_pde_hessian(), Constraint_BurgersControl< Real >::nt_, and Constraint_BurgersControl< Real >::nx_.

template<class Real>
void Constraint_BurgersControl< Real >::applyAdjointHessian_12 ( ROL::Vector< Real > &  ahwv,
const ROL::Vector< Real > &  w,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the optimization-space derivative of the adjoint of the constraint simulation-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{uz}(u,z)(v,\cdot)^*w\).

  @param[out]      ahwv is the result of applying the optimization-space derivative of the adjoint of the constraint simulation-space Jacobian at @b  \form#218 to the vector @b  \form#242 in direction @b  \form#242; a dual optimization-space vector
  @param[in]       w    is the direction vector; a dual constraint-space vector
  @param[in]       v    is a simulation-space vector
  @param[in]       u    is the constraint argument; a simulation-space vector
  @param[in]       z    is the constraint argument; an optimization-space vector
  @param[in,out]   tol  is a tolerance for inexact evaluations; currently unused

  On return, \form#248, where

\(w \in \mathcal{C}^*\), \(v \in \mathcal{U}\), and \(\mathsf{ahwv} \in \mathcal{Z}^*\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 693 of file example_03.hpp.

References ROL::Vector< Real >::zero().

template<class Real>
void Constraint_BurgersControl< Real >::applyAdjointHessian_21 ( ROL::Vector< Real > &  ahwv,
const ROL::Vector< Real > &  w,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the simulation-space derivative of the adjoint of the constraint optimization-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{zu}(u,z)(v,\cdot)^*w\).

  @param[out]      ahwv is the result of applying the simulation-space derivative of the adjoint of the constraint optimization-space Jacobian at @b  \form#218 to the vector @b  \form#242 in direction @b  \form#242; a dual simulation-space vector
  @param[in]       w    is the direction vector; a dual constraint-space vector
  @param[in]       v    is a optimization-space vector
  @param[in]       u    is the constraint argument; a simulation-space vector
  @param[in]       z    is the constraint argument; an optimization-space vector
  @param[in,out]   tol  is a tolerance for inexact evaluations; currently unused

  On return, \form#251, where

\(w \in \mathcal{C}^*\), \(v \in \mathcal{Z}\), and \(\mathsf{ahwv} \in \mathcal{U}^*\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 697 of file example_03.hpp.

References ROL::Vector< Real >::zero().

template<class Real>
void Constraint_BurgersControl< Real >::applyAdjointHessian_22 ( ROL::Vector< Real > &  ahwv,
const ROL::Vector< Real > &  w,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the optimization-space derivative of the adjoint of the constraint optimization-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{zz}(u,z)(v,\cdot)^*w\).

  @param[out]      ahwv is the result of applying the optimization-space derivative of the adjoint of the constraint optimization-space Jacobian at @b  \form#218 to the vector @b  \form#242 in direction @b  \form#242; a dual optimization-space vector
  @param[in]       w    is the direction vector; a dual constraint-space vector
  @param[in]       v    is a optimization-space vector
  @param[in]       u    is the constraint argument; a simulation-space vector
  @param[in]       z    is the constraint argument; an optimization-space vector
  @param[in,out]   tol  is a tolerance for inexact evaluations; currently unused

  On return, \form#253, where

\(w \in \mathcal{C}^*\), \(v \in \mathcal{Z}\), and \(\mathsf{ahwv} \in \mathcal{Z}^*\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 701 of file example_03.hpp.

References ROL::Vector< Real >::zero().

template<class Real>
void Constraint_BurgersControl< Real >::value ( ROL::Vector< Real > &  c,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Evaluate the constraint operator \(c:\mathcal{U}\times\mathcal{Z} \rightarrow \mathcal{C}\) at \((u,z)\).

Parameters
[out]cis the result of evaluating the constraint operator at \((u,z)\); a constraint-space vector
[in]uis the constraint argument; a simulation-space vector
[in]zis the constraint argument; an optimization-space vector
[in,out]tolis a tolerance for inexact evaluations; currently unused

On return, \(\mathsf{c} = c(u,z)\), where \(\mathsf{c} \in \mathcal{C}\), \(\mathsf{u} \in \mathcal{U}\), and $ \(\mathsf{z} \in\mathcal{Z}\).


Implements ROL::Constraint_SimOpt< Real >.

Definition at line 870 of file example_04.hpp.

References Constraint_BurgersControl< Real >::fem_.

template<class Real>
void Constraint_BurgersControl< Real >::applyJacobian_1 ( ROL::Vector< Real > &  jv,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the partial constraint Jacobian at \((u,z)\), \(c_u(u,z) \in L(\mathcal{U}, \mathcal{C})\), to the vector \(v\).

  @param[out]      jv  is the result of applying the constraint Jacobian to @b v at @b  \form#218; a constraint-space vector
  @param[in]       v   is a simulation-space vector
  @param[in]       u   is the constraint argument; an simulation-space vector
  @param[in]       z   is the constraint argument; an optimization-space vector
  @param[in,out]   tol is a tolerance for inexact evaluations; currently unused

  On return, \form#224, where

\(v \in \mathcal{U}\), \(\mathsf{jv} \in \mathcal{C}\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 883 of file example_04.hpp.

References Constraint_BurgersControl< Real >::fem_.

template<class Real>
void Constraint_BurgersControl< Real >::applyJacobian_2 ( ROL::Vector< Real > &  jv,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the partial constraint Jacobian at \((u,z)\), \(c_z(u,z) \in L(\mathcal{Z}, \mathcal{C})\), to the vector \(v\).

  @param[out]      jv  is the result of applying the constraint Jacobian to @b v at @b  \form#218; a constraint-space vector
  @param[in]       v   is an optimization-space vector
  @param[in]       u   is the constraint argument; a simulation-space vector
  @param[in]       z   is the constraint argument; an optimization-space vector
  @param[in,out]   tol is a tolerance for inexact evaluations; currently unused

  On return, \form#227, where

\(v \in \mathcal{Z}\), \(\mathsf{jv} \in \mathcal{C}\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 896 of file example_04.hpp.

References Constraint_BurgersControl< Real >::fem_.

template<class Real>
void Constraint_BurgersControl< Real >::applyInverseJacobian_1 ( ROL::Vector< Real > &  ijv,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the inverse partial constraint Jacobian at \((u,z)\), \(c_u(u,z)^{-1} \in L(\mathcal{C}, \mathcal{U})\), to the vector \(v\).

  @param[out]      ijv is the result of applying the inverse constraint Jacobian to @b v at @b  \form#218; a simulation-space vector
  @param[in]       v   is a constraint-space vector
  @param[in]       u   is the constraint argument; a simulation-space vector
  @param[in]       z   is the constraint argument; an optimization-space vector
  @param[in,out]   tol is a tolerance for inexact evaluations; currently unused

  On return, \form#230, where

\(v \in \mathcal{C}\), \(\mathsf{ijv} \in \mathcal{U}\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 909 of file example_04.hpp.

References Constraint_BurgersControl< Real >::fem_.

template<class Real>
void Constraint_BurgersControl< Real >::applyAdjointJacobian_1 ( ROL::Vector< Real > &  ajv,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the adjoint of the partial constraint Jacobian at \((u,z)\), \(c_u(u,z)^* \in L(\mathcal{C}^*, \mathcal{U}^*)\), to the vector \(v\). This is the primary interface.

  @param[out]      ajv    is the result of applying the adjoint of the constraint Jacobian to @b v at @b (u,z); a dual simulation-space vector
  @param[in]       v      is a dual constraint-space vector
  @param[in]       u      is the constraint argument; a simulation-space vector
  @param[in]       z      is the constraint argument; an optimization-space vector
  @param[in,out]   tol    is a tolerance for inexact evaluations; currently unused

  On return, \form#233, where

\(v \in \mathcal{C}^*\), \(\mathsf{ajv} \in \mathcal{U}^*\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 922 of file example_04.hpp.

References Constraint_BurgersControl< Real >::fem_.

template<class Real>
void Constraint_BurgersControl< Real >::applyAdjointJacobian_2 ( ROL::Vector< Real > &  ajv,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the adjoint of the partial constraint Jacobian at \((u,z)\), \(c_z(u,z)^* \in L(\mathcal{C}^*, \mathcal{Z}^*)\), to vector \(v\). This is the primary interface.

  @param[out]      ajv    is the result of applying the adjoint of the constraint Jacobian to @b v at @b  \form#218; a dual optimization-space vector
  @param[in]       v      is a dual constraint-space vector
  @param[in]       u      is the constraint argument; a simulation-space vector
  @param[in]       z      is the constraint argument; an optimization-space vector
  @param[in,out]   tol    is a tolerance for inexact evaluations; currently unused

  On return, \form#236, where

\(v \in \mathcal{C}^*\), \(\mathsf{ajv} \in \mathcal{Z}^*\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 935 of file example_04.hpp.

References Constraint_BurgersControl< Real >::fem_.

template<class Real>
void Constraint_BurgersControl< Real >::applyInverseAdjointJacobian_1 ( ROL::Vector< Real > &  iajv,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the inverse of the adjoint of the partial constraint Jacobian at \((u,z)\), \(c_u(u,z)^{-*} \in L(\mathcal{U}^*, \mathcal{C}^*)\), to the vector \(v\).

  @param[out]      iajv is the result of applying the inverse adjoint of the constraint Jacobian to @b v at @b (u,z); a dual constraint-space vector
  @param[in]       v   is a dual simulation-space vector
  @param[in]       u   is the constraint argument; a simulation-space vector
  @param[in]       z   is the constraint argument; an optimization-space vector
  @param[in,out]   tol is a tolerance for inexact evaluations; currently unused

  On return, \form#239, where

\(v \in \mathcal{U}^*\), \(\mathsf{iajv} \in \mathcal{C}^*\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 948 of file example_04.hpp.

References Constraint_BurgersControl< Real >::fem_.

template<class Real>
void Constraint_BurgersControl< Real >::applyAdjointHessian_11 ( ROL::Vector< Real > &  ahwv,
const ROL::Vector< Real > &  w,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the simulation-space derivative of the adjoint of the constraint simulation-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{uu}(u,z)(v,\cdot)^*w\).

  @param[out]      ahwv is the result of applying the simulation-space derivative of the adjoint of the constraint simulation-space Jacobian at @b  \form#218 to the vector @b  \form#242 in direction @b  \form#242; a dual simulation-space vector
  @param[in]       w    is the direction vector; a dual constraint-space vector
  @param[in]       v    is a simulation-space vector
  @param[in]       u    is the constraint argument; a simulation-space vector
  @param[in]       z    is the constraint argument; an optimization-space vector
  @param[in,out]   tol  is a tolerance for inexact evaluations; currently unused

  On return, \form#244, where

\(w \in \mathcal{C}^*\), \(v \in \mathcal{U}\), and \(\mathsf{ahwv} \in \mathcal{U}^*\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 961 of file example_04.hpp.

References Constraint_BurgersControl< Real >::fem_, Constraint_BurgersControl< Real >::useHessian_, and ROL::Vector< Real >::zero().

template<class Real>
void Constraint_BurgersControl< Real >::applyAdjointHessian_12 ( ROL::Vector< Real > &  ahwv,
const ROL::Vector< Real > &  w,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the optimization-space derivative of the adjoint of the constraint simulation-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{uz}(u,z)(v,\cdot)^*w\).

  @param[out]      ahwv is the result of applying the optimization-space derivative of the adjoint of the constraint simulation-space Jacobian at @b  \form#218 to the vector @b  \form#242 in direction @b  \form#242; a dual optimization-space vector
  @param[in]       w    is the direction vector; a dual constraint-space vector
  @param[in]       v    is a simulation-space vector
  @param[in]       u    is the constraint argument; a simulation-space vector
  @param[in]       z    is the constraint argument; an optimization-space vector
  @param[in,out]   tol  is a tolerance for inexact evaluations; currently unused

  On return, \form#248, where

\(w \in \mathcal{C}^*\), \(v \in \mathcal{U}\), and \(\mathsf{ahwv} \in \mathcal{Z}^*\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 981 of file example_04.hpp.

References Constraint_BurgersControl< Real >::fem_, Constraint_BurgersControl< Real >::useHessian_, and ROL::Vector< Real >::zero().

template<class Real>
void Constraint_BurgersControl< Real >::applyAdjointHessian_21 ( ROL::Vector< Real > &  ahwv,
const ROL::Vector< Real > &  w,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the simulation-space derivative of the adjoint of the constraint optimization-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{zu}(u,z)(v,\cdot)^*w\).

  @param[out]      ahwv is the result of applying the simulation-space derivative of the adjoint of the constraint optimization-space Jacobian at @b  \form#218 to the vector @b  \form#242 in direction @b  \form#242; a dual simulation-space vector
  @param[in]       w    is the direction vector; a dual constraint-space vector
  @param[in]       v    is a optimization-space vector
  @param[in]       u    is the constraint argument; a simulation-space vector
  @param[in]       z    is the constraint argument; an optimization-space vector
  @param[in,out]   tol  is a tolerance for inexact evaluations; currently unused

  On return, \form#251, where

\(w \in \mathcal{C}^*\), \(v \in \mathcal{Z}\), and \(\mathsf{ahwv} \in \mathcal{U}^*\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 1000 of file example_04.hpp.

References Constraint_BurgersControl< Real >::fem_, Constraint_BurgersControl< Real >::useHessian_, and ROL::Vector< Real >::zero().

template<class Real>
void Constraint_BurgersControl< Real >::applyAdjointHessian_22 ( ROL::Vector< Real > &  ahwv,
const ROL::Vector< Real > &  w,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the optimization-space derivative of the adjoint of the constraint optimization-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{zz}(u,z)(v,\cdot)^*w\).

  @param[out]      ahwv is the result of applying the optimization-space derivative of the adjoint of the constraint optimization-space Jacobian at @b  \form#218 to the vector @b  \form#242 in direction @b  \form#242; a dual optimization-space vector
  @param[in]       w    is the direction vector; a dual constraint-space vector
  @param[in]       v    is a optimization-space vector
  @param[in]       u    is the constraint argument; a simulation-space vector
  @param[in]       z    is the constraint argument; an optimization-space vector
  @param[in,out]   tol  is a tolerance for inexact evaluations; currently unused

  On return, \form#253, where

\(w \in \mathcal{C}^*\), \(v \in \mathcal{Z}\), and \(\mathsf{ahwv} \in \mathcal{Z}^*\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 1019 of file example_04.hpp.

References Constraint_BurgersControl< Real >::fem_, Constraint_BurgersControl< Real >::useHessian_, and ROL::Vector< Real >::zero().

template<class Real>
Real Constraint_BurgersControl< Real >::compute_norm ( const std::vector< Real > &  r)
inlineprivate

Definition at line 37 of file example_05.hpp.

References Constraint_BurgersControl< Real >::dot().

template<class Real>
Real Constraint_BurgersControl< Real >::dot ( const std::vector< Real > &  x,
const std::vector< Real > &  y 
)
inlineprivate
template<class Real>
void Constraint_BurgersControl< Real >::update ( std::vector< Real > &  u,
const std::vector< Real > &  s,
const Real  alpha = 1.0 
)
inlineprivate

Definition at line 60 of file example_05.hpp.

template<class Real>
void Constraint_BurgersControl< Real >::scale ( std::vector< Real > &  u,
const Real  alpha = 0.0 
)
inlineprivate

Definition at line 66 of file example_05.hpp.

template<class Real>
void Constraint_BurgersControl< Real >::compute_residual ( std::vector< Real > &  r,
const std::vector< Real > &  u,
const std::vector< Real > &  z 
)
inlineprivate
template<class Real>
void Constraint_BurgersControl< Real >::compute_pde_jacobian ( std::vector< Real > &  dl,
std::vector< Real > &  d,
std::vector< Real > &  du,
const std::vector< Real > &  u 
)
inlineprivate
template<class Real>
void Constraint_BurgersControl< Real >::linear_solve ( std::vector< Real > &  u,
std::vector< Real > &  dl,
std::vector< Real > &  d,
std::vector< Real > &  du,
const std::vector< Real > &  r,
const bool  transpose = false 
)
inlineprivate

Definition at line 136 of file example_05.hpp.

References Constraint_BurgersControl< Real >::nx_.

template<class Real>
void Constraint_BurgersControl< Real >::value ( ROL::Vector< Real > &  c,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Evaluate the constraint operator \(c:\mathcal{U}\times\mathcal{Z} \rightarrow \mathcal{C}\) at \((u,z)\).

Parameters
[out]cis the result of evaluating the constraint operator at \((u,z)\); a constraint-space vector
[in]uis the constraint argument; a simulation-space vector
[in]zis the constraint argument; an optimization-space vector
[in,out]tolis a tolerance for inexact evaluations; currently unused

On return, \(\mathsf{c} = c(u,z)\), where \(\mathsf{c} \in \mathcal{C}\), \(\mathsf{u} \in \mathcal{U}\), and $ \(\mathsf{z} \in\mathcal{Z}\).


Implements ROL::Constraint_SimOpt< Real >.

Definition at line 158 of file example_05.hpp.

References Constraint_BurgersControl< Real >::compute_residual().

template<class Real>
void Constraint_BurgersControl< Real >::solve ( ROL::Vector< Real > &  c,
ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Given \(z\), solve \(c(u,z)=0\) for \(u\).

Parameters
[out]cis the result of evaluating the constraint operator at \((u,z)\); a constraint-space vector
[in,out]uis the solution vector; a simulation-space vector
[in]zis the constraint argument; an optimization-space vector
[in,out]tolis a tolerance for inexact evaluations; currently unused

The defualt implementation is Newton's method globalized with a backtracking line search.


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 169 of file example_05.hpp.

References ROL::Constraint_SimOpt< Real >::solve().

template<class Real>
void Constraint_BurgersControl< Real >::applyJacobian_1 ( ROL::Vector< Real > &  jv,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the partial constraint Jacobian at \((u,z)\), \(c_u(u,z) \in L(\mathcal{U}, \mathcal{C})\), to the vector \(v\).

  @param[out]      jv  is the result of applying the constraint Jacobian to @b v at @b  \form#218; a constraint-space vector
  @param[in]       v   is a simulation-space vector
  @param[in]       u   is the constraint argument; an simulation-space vector
  @param[in]       z   is the constraint argument; an optimization-space vector
  @param[in,out]   tol is a tolerance for inexact evaluations; currently unused

  On return, \form#224, where

\(v \in \mathcal{U}\), \(\mathsf{jv} \in \mathcal{C}\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 176 of file example_05.hpp.

References Constraint_BurgersControl< Real >::dx_, ROL::Constraint< Real >::getParameter(), and Constraint_BurgersControl< Real >::nx_.

template<class Real>
void Constraint_BurgersControl< Real >::applyJacobian_2 ( ROL::Vector< Real > &  jv,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the partial constraint Jacobian at \((u,z)\), \(c_z(u,z) \in L(\mathcal{Z}, \mathcal{C})\), to the vector \(v\).

  @param[out]      jv  is the result of applying the constraint Jacobian to @b v at @b  \form#218; a constraint-space vector
  @param[in]       v   is an optimization-space vector
  @param[in]       u   is the constraint argument; a simulation-space vector
  @param[in]       z   is the constraint argument; an optimization-space vector
  @param[in,out]   tol is a tolerance for inexact evaluations; currently unused

  On return, \form#227, where

\(v \in \mathcal{Z}\), \(\mathsf{jv} \in \mathcal{C}\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 209 of file example_05.hpp.

References Constraint_BurgersControl< Real >::dx_, and Constraint_BurgersControl< Real >::nx_.

template<class Real>
void Constraint_BurgersControl< Real >::applyInverseJacobian_1 ( ROL::Vector< Real > &  ijv,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the inverse partial constraint Jacobian at \((u,z)\), \(c_u(u,z)^{-1} \in L(\mathcal{C}, \mathcal{U})\), to the vector \(v\).

  @param[out]      ijv is the result of applying the inverse constraint Jacobian to @b v at @b  \form#218; a simulation-space vector
  @param[in]       v   is a constraint-space vector
  @param[in]       u   is the constraint argument; a simulation-space vector
  @param[in]       z   is the constraint argument; an optimization-space vector
  @param[in,out]   tol is a tolerance for inexact evaluations; currently unused

  On return, \form#230, where

\(v \in \mathcal{C}\), \(\mathsf{ijv} \in \mathcal{U}\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 225 of file example_05.hpp.

References Constraint_BurgersControl< Real >::compute_pde_jacobian(), Constraint_BurgersControl< Real >::linear_solve(), and Constraint_BurgersControl< Real >::nx_.

template<class Real>
void Constraint_BurgersControl< Real >::applyAdjointJacobian_1 ( ROL::Vector< Real > &  ajv,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the adjoint of the partial constraint Jacobian at \((u,z)\), \(c_u(u,z)^* \in L(\mathcal{C}^*, \mathcal{U}^*)\), to the vector \(v\). This is the primary interface.

  @param[out]      ajv    is the result of applying the adjoint of the constraint Jacobian to @b v at @b (u,z); a dual simulation-space vector
  @param[in]       v      is a dual constraint-space vector
  @param[in]       u      is the constraint argument; a simulation-space vector
  @param[in]       z      is the constraint argument; an optimization-space vector
  @param[in,out]   tol    is a tolerance for inexact evaluations; currently unused

  On return, \form#233, where

\(v \in \mathcal{C}^*\), \(\mathsf{ajv} \in \mathcal{U}^*\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 244 of file example_05.hpp.

References Constraint_BurgersControl< Real >::dx_, ROL::Constraint< Real >::getParameter(), and Constraint_BurgersControl< Real >::nx_.

template<class Real>
void Constraint_BurgersControl< Real >::applyAdjointJacobian_2 ( ROL::Vector< Real > &  ajv,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the adjoint of the partial constraint Jacobian at \((u,z)\), \(c_z(u,z)^* \in L(\mathcal{C}^*, \mathcal{Z}^*)\), to vector \(v\). This is the primary interface.

  @param[out]      ajv    is the result of applying the adjoint of the constraint Jacobian to @b v at @b  \form#218; a dual optimization-space vector
  @param[in]       v      is a dual constraint-space vector
  @param[in]       u      is the constraint argument; a simulation-space vector
  @param[in]       z      is the constraint argument; an optimization-space vector
  @param[in,out]   tol    is a tolerance for inexact evaluations; currently unused

  On return, \form#236, where

\(v \in \mathcal{C}^*\), \(\mathsf{ajv} \in \mathcal{Z}^*\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 277 of file example_05.hpp.

References Constraint_BurgersControl< Real >::dx_, and Constraint_BurgersControl< Real >::nx_.

template<class Real>
void Constraint_BurgersControl< Real >::applyInverseAdjointJacobian_1 ( ROL::Vector< Real > &  iajv,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the inverse of the adjoint of the partial constraint Jacobian at \((u,z)\), \(c_u(u,z)^{-*} \in L(\mathcal{U}^*, \mathcal{C}^*)\), to the vector \(v\).

  @param[out]      iajv is the result of applying the inverse adjoint of the constraint Jacobian to @b v at @b (u,z); a dual constraint-space vector
  @param[in]       v   is a dual simulation-space vector
  @param[in]       u   is the constraint argument; a simulation-space vector
  @param[in]       z   is the constraint argument; an optimization-space vector
  @param[in,out]   tol is a tolerance for inexact evaluations; currently unused

  On return, \form#239, where

\(v \in \mathcal{U}^*\), \(\mathsf{iajv} \in \mathcal{C}^*\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 306 of file example_05.hpp.

References Constraint_BurgersControl< Real >::compute_pde_jacobian(), Constraint_BurgersControl< Real >::linear_solve(), and Constraint_BurgersControl< Real >::nx_.

template<class Real>
void Constraint_BurgersControl< Real >::applyAdjointHessian_11 ( ROL::Vector< Real > &  ahwv,
const ROL::Vector< Real > &  w,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the simulation-space derivative of the adjoint of the constraint simulation-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{uu}(u,z)(v,\cdot)^*w\).

  @param[out]      ahwv is the result of applying the simulation-space derivative of the adjoint of the constraint simulation-space Jacobian at @b  \form#218 to the vector @b  \form#242 in direction @b  \form#242; a dual simulation-space vector
  @param[in]       w    is the direction vector; a dual constraint-space vector
  @param[in]       v    is a simulation-space vector
  @param[in]       u    is the constraint argument; a simulation-space vector
  @param[in]       z    is the constraint argument; an optimization-space vector
  @param[in,out]   tol  is a tolerance for inexact evaluations; currently unused

  On return, \form#244, where

\(w \in \mathcal{C}^*\), \(v \in \mathcal{U}\), and \(\mathsf{ahwv} \in \mathcal{U}^*\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 323 of file example_05.hpp.

References Constraint_BurgersControl< Real >::nx_.

template<class Real>
void Constraint_BurgersControl< Real >::applyAdjointHessian_12 ( ROL::Vector< Real > &  ahwv,
const ROL::Vector< Real > &  w,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the optimization-space derivative of the adjoint of the constraint simulation-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{uz}(u,z)(v,\cdot)^*w\).

  @param[out]      ahwv is the result of applying the optimization-space derivative of the adjoint of the constraint simulation-space Jacobian at @b  \form#218 to the vector @b  \form#242 in direction @b  \form#242; a dual optimization-space vector
  @param[in]       w    is the direction vector; a dual constraint-space vector
  @param[in]       v    is a simulation-space vector
  @param[in]       u    is the constraint argument; a simulation-space vector
  @param[in]       z    is the constraint argument; an optimization-space vector
  @param[in,out]   tol  is a tolerance for inexact evaluations; currently unused

  On return, \form#248, where

\(w \in \mathcal{C}^*\), \(v \in \mathcal{U}\), and \(\mathsf{ahwv} \in \mathcal{Z}^*\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 347 of file example_05.hpp.

References ROL::Vector< Real >::zero().

template<class Real>
void Constraint_BurgersControl< Real >::applyAdjointHessian_21 ( ROL::Vector< Real > &  ahwv,
const ROL::Vector< Real > &  w,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the simulation-space derivative of the adjoint of the constraint optimization-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{zu}(u,z)(v,\cdot)^*w\).

  @param[out]      ahwv is the result of applying the simulation-space derivative of the adjoint of the constraint optimization-space Jacobian at @b  \form#218 to the vector @b  \form#242 in direction @b  \form#242; a dual simulation-space vector
  @param[in]       w    is the direction vector; a dual constraint-space vector
  @param[in]       v    is a optimization-space vector
  @param[in]       u    is the constraint argument; a simulation-space vector
  @param[in]       z    is the constraint argument; an optimization-space vector
  @param[in,out]   tol  is a tolerance for inexact evaluations; currently unused

  On return, \form#251, where

\(w \in \mathcal{C}^*\), \(v \in \mathcal{Z}\), and \(\mathsf{ahwv} \in \mathcal{U}^*\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 351 of file example_05.hpp.

References ROL::Vector< Real >::zero().

template<class Real>
void Constraint_BurgersControl< Real >::applyAdjointHessian_22 ( ROL::Vector< Real > &  ahwv,
const ROL::Vector< Real > &  w,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the optimization-space derivative of the adjoint of the constraint optimization-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{zz}(u,z)(v,\cdot)^*w\).

  @param[out]      ahwv is the result of applying the optimization-space derivative of the adjoint of the constraint optimization-space Jacobian at @b  \form#218 to the vector @b  \form#242 in direction @b  \form#242; a dual optimization-space vector
  @param[in]       w    is the direction vector; a dual constraint-space vector
  @param[in]       v    is a optimization-space vector
  @param[in]       u    is the constraint argument; a simulation-space vector
  @param[in]       z    is the constraint argument; an optimization-space vector
  @param[in,out]   tol  is a tolerance for inexact evaluations; currently unused

  On return, \form#253, where

\(w \in \mathcal{C}^*\), \(v \in \mathcal{Z}\), and \(\mathsf{ahwv} \in \mathcal{Z}^*\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 355 of file example_05.hpp.

References ROL::Vector< Real >::zero().

template<class Real>
void Constraint_BurgersControl< Real >::value ( ROL::Vector< Real > &  c,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Evaluate the constraint operator \(c:\mathcal{U}\times\mathcal{Z} \rightarrow \mathcal{C}\) at \((u,z)\).

Parameters
[out]cis the result of evaluating the constraint operator at \((u,z)\); a constraint-space vector
[in]uis the constraint argument; a simulation-space vector
[in]zis the constraint argument; an optimization-space vector
[in,out]tolis a tolerance for inexact evaluations; currently unused

On return, \(\mathsf{c} = c(u,z)\), where \(\mathsf{c} \in \mathcal{C}\), \(\mathsf{u} \in \mathcal{U}\), and $ \(\mathsf{z} \in\mathcal{Z}\).


Implements ROL::Constraint_SimOpt< Real >.

Definition at line 874 of file example_06.hpp.

References Constraint_BurgersControl< Real >::fem_, and ROL::Constraint< Real >::getParameter().

template<class Real>
void Constraint_BurgersControl< Real >::applyJacobian_1 ( ROL::Vector< Real > &  jv,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the partial constraint Jacobian at \((u,z)\), \(c_u(u,z) \in L(\mathcal{U}, \mathcal{C})\), to the vector \(v\).

  @param[out]      jv  is the result of applying the constraint Jacobian to @b v at @b  \form#218; a constraint-space vector
  @param[in]       v   is a simulation-space vector
  @param[in]       u   is the constraint argument; an simulation-space vector
  @param[in]       z   is the constraint argument; an optimization-space vector
  @param[in,out]   tol is a tolerance for inexact evaluations; currently unused

  On return, \form#224, where

\(v \in \mathcal{U}\), \(\mathsf{jv} \in \mathcal{C}\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 890 of file example_06.hpp.

References Constraint_BurgersControl< Real >::fem_, and ROL::Constraint< Real >::getParameter().

template<class Real>
void Constraint_BurgersControl< Real >::applyJacobian_2 ( ROL::Vector< Real > &  jv,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the partial constraint Jacobian at \((u,z)\), \(c_z(u,z) \in L(\mathcal{Z}, \mathcal{C})\), to the vector \(v\).

  @param[out]      jv  is the result of applying the constraint Jacobian to @b v at @b  \form#218; a constraint-space vector
  @param[in]       v   is an optimization-space vector
  @param[in]       u   is the constraint argument; a simulation-space vector
  @param[in]       z   is the constraint argument; an optimization-space vector
  @param[in,out]   tol is a tolerance for inexact evaluations; currently unused

  On return, \form#227, where

\(v \in \mathcal{Z}\), \(\mathsf{jv} \in \mathcal{C}\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 908 of file example_06.hpp.

References Constraint_BurgersControl< Real >::fem_, and ROL::Constraint< Real >::getParameter().

template<class Real>
void Constraint_BurgersControl< Real >::applyInverseJacobian_1 ( ROL::Vector< Real > &  ijv,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the inverse partial constraint Jacobian at \((u,z)\), \(c_u(u,z)^{-1} \in L(\mathcal{C}, \mathcal{U})\), to the vector \(v\).

  @param[out]      ijv is the result of applying the inverse constraint Jacobian to @b v at @b  \form#218; a simulation-space vector
  @param[in]       v   is a constraint-space vector
  @param[in]       u   is the constraint argument; a simulation-space vector
  @param[in]       z   is the constraint argument; an optimization-space vector
  @param[in,out]   tol is a tolerance for inexact evaluations; currently unused

  On return, \form#230, where

\(v \in \mathcal{C}\), \(\mathsf{ijv} \in \mathcal{U}\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 926 of file example_06.hpp.

References Constraint_BurgersControl< Real >::fem_, and ROL::Constraint< Real >::getParameter().

template<class Real>
void Constraint_BurgersControl< Real >::applyAdjointJacobian_1 ( ROL::Vector< Real > &  ajv,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the adjoint of the partial constraint Jacobian at \((u,z)\), \(c_u(u,z)^* \in L(\mathcal{C}^*, \mathcal{U}^*)\), to the vector \(v\). This is the primary interface.

  @param[out]      ajv    is the result of applying the adjoint of the constraint Jacobian to @b v at @b (u,z); a dual simulation-space vector
  @param[in]       v      is a dual constraint-space vector
  @param[in]       u      is the constraint argument; a simulation-space vector
  @param[in]       z      is the constraint argument; an optimization-space vector
  @param[in,out]   tol    is a tolerance for inexact evaluations; currently unused

  On return, \form#233, where

\(v \in \mathcal{C}^*\), \(\mathsf{ajv} \in \mathcal{U}^*\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 944 of file example_06.hpp.

References Constraint_BurgersControl< Real >::fem_, and ROL::Constraint< Real >::getParameter().

template<class Real>
void Constraint_BurgersControl< Real >::applyAdjointJacobian_2 ( ROL::Vector< Real > &  ajv,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the adjoint of the partial constraint Jacobian at \((u,z)\), \(c_z(u,z)^* \in L(\mathcal{C}^*, \mathcal{Z}^*)\), to vector \(v\). This is the primary interface.

  @param[out]      ajv    is the result of applying the adjoint of the constraint Jacobian to @b v at @b  \form#218; a dual optimization-space vector
  @param[in]       v      is a dual constraint-space vector
  @param[in]       u      is the constraint argument; a simulation-space vector
  @param[in]       z      is the constraint argument; an optimization-space vector
  @param[in,out]   tol    is a tolerance for inexact evaluations; currently unused

  On return, \form#236, where

\(v \in \mathcal{C}^*\), \(\mathsf{ajv} \in \mathcal{Z}^*\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 962 of file example_06.hpp.

References Constraint_BurgersControl< Real >::fem_, and ROL::Constraint< Real >::getParameter().

template<class Real>
void Constraint_BurgersControl< Real >::applyInverseAdjointJacobian_1 ( ROL::Vector< Real > &  iajv,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the inverse of the adjoint of the partial constraint Jacobian at \((u,z)\), \(c_u(u,z)^{-*} \in L(\mathcal{U}^*, \mathcal{C}^*)\), to the vector \(v\).

  @param[out]      iajv is the result of applying the inverse adjoint of the constraint Jacobian to @b v at @b (u,z); a dual constraint-space vector
  @param[in]       v   is a dual simulation-space vector
  @param[in]       u   is the constraint argument; a simulation-space vector
  @param[in]       z   is the constraint argument; an optimization-space vector
  @param[in,out]   tol is a tolerance for inexact evaluations; currently unused

  On return, \form#239, where

\(v \in \mathcal{U}^*\), \(\mathsf{iajv} \in \mathcal{C}^*\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 980 of file example_06.hpp.

References Constraint_BurgersControl< Real >::fem_, and ROL::Constraint< Real >::getParameter().

template<class Real>
void Constraint_BurgersControl< Real >::applyAdjointHessian_11 ( ROL::Vector< Real > &  ahwv,
const ROL::Vector< Real > &  w,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the simulation-space derivative of the adjoint of the constraint simulation-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{uu}(u,z)(v,\cdot)^*w\).

  @param[out]      ahwv is the result of applying the simulation-space derivative of the adjoint of the constraint simulation-space Jacobian at @b  \form#218 to the vector @b  \form#242 in direction @b  \form#242; a dual simulation-space vector
  @param[in]       w    is the direction vector; a dual constraint-space vector
  @param[in]       v    is a simulation-space vector
  @param[in]       u    is the constraint argument; a simulation-space vector
  @param[in]       z    is the constraint argument; an optimization-space vector
  @param[in,out]   tol  is a tolerance for inexact evaluations; currently unused

  On return, \form#244, where

\(w \in \mathcal{C}^*\), \(v \in \mathcal{U}\), and \(\mathsf{ahwv} \in \mathcal{U}^*\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 998 of file example_06.hpp.

References Constraint_BurgersControl< Real >::fem_, ROL::Constraint< Real >::getParameter(), Constraint_BurgersControl< Real >::useHessian_, and ROL::Vector< Real >::zero().

template<class Real>
void Constraint_BurgersControl< Real >::applyAdjointHessian_12 ( ROL::Vector< Real > &  ahwv,
const ROL::Vector< Real > &  w,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the optimization-space derivative of the adjoint of the constraint simulation-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{uz}(u,z)(v,\cdot)^*w\).

  @param[out]      ahwv is the result of applying the optimization-space derivative of the adjoint of the constraint simulation-space Jacobian at @b  \form#218 to the vector @b  \form#242 in direction @b  \form#242; a dual optimization-space vector
  @param[in]       w    is the direction vector; a dual constraint-space vector
  @param[in]       v    is a simulation-space vector
  @param[in]       u    is the constraint argument; a simulation-space vector
  @param[in]       z    is the constraint argument; an optimization-space vector
  @param[in,out]   tol  is a tolerance for inexact evaluations; currently unused

  On return, \form#248, where

\(w \in \mathcal{C}^*\), \(v \in \mathcal{U}\), and \(\mathsf{ahwv} \in \mathcal{Z}^*\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 1023 of file example_06.hpp.

References Constraint_BurgersControl< Real >::fem_, ROL::Constraint< Real >::getParameter(), Constraint_BurgersControl< Real >::useHessian_, and ROL::Vector< Real >::zero().

template<class Real>
void Constraint_BurgersControl< Real >::applyAdjointHessian_21 ( ROL::Vector< Real > &  ahwv,
const ROL::Vector< Real > &  w,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the simulation-space derivative of the adjoint of the constraint optimization-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{zu}(u,z)(v,\cdot)^*w\).

  @param[out]      ahwv is the result of applying the simulation-space derivative of the adjoint of the constraint optimization-space Jacobian at @b  \form#218 to the vector @b  \form#242 in direction @b  \form#242; a dual simulation-space vector
  @param[in]       w    is the direction vector; a dual constraint-space vector
  @param[in]       v    is a optimization-space vector
  @param[in]       u    is the constraint argument; a simulation-space vector
  @param[in]       z    is the constraint argument; an optimization-space vector
  @param[in,out]   tol  is a tolerance for inexact evaluations; currently unused

  On return, \form#251, where

\(w \in \mathcal{C}^*\), \(v \in \mathcal{Z}\), and \(\mathsf{ahwv} \in \mathcal{U}^*\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 1047 of file example_06.hpp.

References Constraint_BurgersControl< Real >::fem_, ROL::Constraint< Real >::getParameter(), Constraint_BurgersControl< Real >::useHessian_, and ROL::Vector< Real >::zero().

template<class Real>
void Constraint_BurgersControl< Real >::applyAdjointHessian_22 ( ROL::Vector< Real > &  ahwv,
const ROL::Vector< Real > &  w,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the optimization-space derivative of the adjoint of the constraint optimization-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{zz}(u,z)(v,\cdot)^*w\).

  @param[out]      ahwv is the result of applying the optimization-space derivative of the adjoint of the constraint optimization-space Jacobian at @b  \form#218 to the vector @b  \form#242 in direction @b  \form#242; a dual optimization-space vector
  @param[in]       w    is the direction vector; a dual constraint-space vector
  @param[in]       v    is a optimization-space vector
  @param[in]       u    is the constraint argument; a simulation-space vector
  @param[in]       z    is the constraint argument; an optimization-space vector
  @param[in,out]   tol  is a tolerance for inexact evaluations; currently unused

  On return, \form#253, where

\(w \in \mathcal{C}^*\), \(v \in \mathcal{Z}\), and \(\mathsf{ahwv} \in \mathcal{Z}^*\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 1071 of file example_06.hpp.

References Constraint_BurgersControl< Real >::fem_, ROL::Constraint< Real >::getParameter(), Constraint_BurgersControl< Real >::useHessian_, and ROL::Vector< Real >::zero().

template<class Real>
void Constraint_BurgersControl< Real >::value ( ROL::Vector< Real > &  c,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Evaluate the constraint operator \(c:\mathcal{U}\times\mathcal{Z} \rightarrow \mathcal{C}\) at \((u,z)\).

Parameters
[out]cis the result of evaluating the constraint operator at \((u,z)\); a constraint-space vector
[in]uis the constraint argument; a simulation-space vector
[in]zis the constraint argument; an optimization-space vector
[in,out]tolis a tolerance for inexact evaluations; currently unused

On return, \(\mathsf{c} = c(u,z)\), where \(\mathsf{c} \in \mathcal{C}\), \(\mathsf{u} \in \mathcal{U}\), and $ \(\mathsf{z} \in\mathcal{Z}\).


Implements ROL::Constraint_SimOpt< Real >.

Definition at line 880 of file example_07.hpp.

References Constraint_BurgersControl< Real >::fem_, and ROL::Constraint< Real >::getParameter().

template<class Real>
void Constraint_BurgersControl< Real >::applyJacobian_1 ( ROL::Vector< Real > &  jv,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the partial constraint Jacobian at \((u,z)\), \(c_u(u,z) \in L(\mathcal{U}, \mathcal{C})\), to the vector \(v\).

  @param[out]      jv  is the result of applying the constraint Jacobian to @b v at @b  \form#218; a constraint-space vector
  @param[in]       v   is a simulation-space vector
  @param[in]       u   is the constraint argument; an simulation-space vector
  @param[in]       z   is the constraint argument; an optimization-space vector
  @param[in,out]   tol is a tolerance for inexact evaluations; currently unused

  On return, \form#224, where

\(v \in \mathcal{U}\), \(\mathsf{jv} \in \mathcal{C}\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 896 of file example_07.hpp.

References Constraint_BurgersControl< Real >::fem_, and ROL::Constraint< Real >::getParameter().

template<class Real>
void Constraint_BurgersControl< Real >::applyJacobian_2 ( ROL::Vector< Real > &  jv,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the partial constraint Jacobian at \((u,z)\), \(c_z(u,z) \in L(\mathcal{Z}, \mathcal{C})\), to the vector \(v\).

  @param[out]      jv  is the result of applying the constraint Jacobian to @b v at @b  \form#218; a constraint-space vector
  @param[in]       v   is an optimization-space vector
  @param[in]       u   is the constraint argument; a simulation-space vector
  @param[in]       z   is the constraint argument; an optimization-space vector
  @param[in,out]   tol is a tolerance for inexact evaluations; currently unused

  On return, \form#227, where

\(v \in \mathcal{Z}\), \(\mathsf{jv} \in \mathcal{C}\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 914 of file example_07.hpp.

References Constraint_BurgersControl< Real >::fem_, and ROL::Constraint< Real >::getParameter().

template<class Real>
void Constraint_BurgersControl< Real >::applyInverseJacobian_1 ( ROL::Vector< Real > &  ijv,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the inverse partial constraint Jacobian at \((u,z)\), \(c_u(u,z)^{-1} \in L(\mathcal{C}, \mathcal{U})\), to the vector \(v\).

  @param[out]      ijv is the result of applying the inverse constraint Jacobian to @b v at @b  \form#218; a simulation-space vector
  @param[in]       v   is a constraint-space vector
  @param[in]       u   is the constraint argument; a simulation-space vector
  @param[in]       z   is the constraint argument; an optimization-space vector
  @param[in,out]   tol is a tolerance for inexact evaluations; currently unused

  On return, \form#230, where

\(v \in \mathcal{C}\), \(\mathsf{ijv} \in \mathcal{U}\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 932 of file example_07.hpp.

References Constraint_BurgersControl< Real >::fem_, and ROL::Constraint< Real >::getParameter().

template<class Real>
void Constraint_BurgersControl< Real >::applyAdjointJacobian_1 ( ROL::Vector< Real > &  ajv,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the adjoint of the partial constraint Jacobian at \((u,z)\), \(c_u(u,z)^* \in L(\mathcal{C}^*, \mathcal{U}^*)\), to the vector \(v\). This is the primary interface.

  @param[out]      ajv    is the result of applying the adjoint of the constraint Jacobian to @b v at @b (u,z); a dual simulation-space vector
  @param[in]       v      is a dual constraint-space vector
  @param[in]       u      is the constraint argument; a simulation-space vector
  @param[in]       z      is the constraint argument; an optimization-space vector
  @param[in,out]   tol    is a tolerance for inexact evaluations; currently unused

  On return, \form#233, where

\(v \in \mathcal{C}^*\), \(\mathsf{ajv} \in \mathcal{U}^*\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 950 of file example_07.hpp.

References Constraint_BurgersControl< Real >::fem_, and ROL::Constraint< Real >::getParameter().

template<class Real>
void Constraint_BurgersControl< Real >::applyAdjointJacobian_2 ( ROL::Vector< Real > &  ajv,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the adjoint of the partial constraint Jacobian at \((u,z)\), \(c_z(u,z)^* \in L(\mathcal{C}^*, \mathcal{Z}^*)\), to vector \(v\). This is the primary interface.

  @param[out]      ajv    is the result of applying the adjoint of the constraint Jacobian to @b v at @b  \form#218; a dual optimization-space vector
  @param[in]       v      is a dual constraint-space vector
  @param[in]       u      is the constraint argument; a simulation-space vector
  @param[in]       z      is the constraint argument; an optimization-space vector
  @param[in,out]   tol    is a tolerance for inexact evaluations; currently unused

  On return, \form#236, where

\(v \in \mathcal{C}^*\), \(\mathsf{ajv} \in \mathcal{Z}^*\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 968 of file example_07.hpp.

References Constraint_BurgersControl< Real >::fem_, and ROL::Constraint< Real >::getParameter().

template<class Real>
void Constraint_BurgersControl< Real >::applyInverseAdjointJacobian_1 ( ROL::Vector< Real > &  iajv,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the inverse of the adjoint of the partial constraint Jacobian at \((u,z)\), \(c_u(u,z)^{-*} \in L(\mathcal{U}^*, \mathcal{C}^*)\), to the vector \(v\).

  @param[out]      iajv is the result of applying the inverse adjoint of the constraint Jacobian to @b v at @b (u,z); a dual constraint-space vector
  @param[in]       v   is a dual simulation-space vector
  @param[in]       u   is the constraint argument; a simulation-space vector
  @param[in]       z   is the constraint argument; an optimization-space vector
  @param[in,out]   tol is a tolerance for inexact evaluations; currently unused

  On return, \form#239, where

\(v \in \mathcal{U}^*\), \(\mathsf{iajv} \in \mathcal{C}^*\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 986 of file example_07.hpp.

References Constraint_BurgersControl< Real >::fem_, and ROL::Constraint< Real >::getParameter().

template<class Real>
void Constraint_BurgersControl< Real >::applyAdjointHessian_11 ( ROL::Vector< Real > &  ahwv,
const ROL::Vector< Real > &  w,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the simulation-space derivative of the adjoint of the constraint simulation-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{uu}(u,z)(v,\cdot)^*w\).

  @param[out]      ahwv is the result of applying the simulation-space derivative of the adjoint of the constraint simulation-space Jacobian at @b  \form#218 to the vector @b  \form#242 in direction @b  \form#242; a dual simulation-space vector
  @param[in]       w    is the direction vector; a dual constraint-space vector
  @param[in]       v    is a simulation-space vector
  @param[in]       u    is the constraint argument; a simulation-space vector
  @param[in]       z    is the constraint argument; an optimization-space vector
  @param[in,out]   tol  is a tolerance for inexact evaluations; currently unused

  On return, \form#244, where

\(w \in \mathcal{C}^*\), \(v \in \mathcal{U}\), and \(\mathsf{ahwv} \in \mathcal{U}^*\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 1004 of file example_07.hpp.

References Constraint_BurgersControl< Real >::fem_, ROL::Constraint< Real >::getParameter(), Constraint_BurgersControl< Real >::useHessian_, and ROL::Vector< Real >::zero().

template<class Real>
void Constraint_BurgersControl< Real >::applyAdjointHessian_12 ( ROL::Vector< Real > &  ahwv,
const ROL::Vector< Real > &  w,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the optimization-space derivative of the adjoint of the constraint simulation-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{uz}(u,z)(v,\cdot)^*w\).

  @param[out]      ahwv is the result of applying the optimization-space derivative of the adjoint of the constraint simulation-space Jacobian at @b  \form#218 to the vector @b  \form#242 in direction @b  \form#242; a dual optimization-space vector
  @param[in]       w    is the direction vector; a dual constraint-space vector
  @param[in]       v    is a simulation-space vector
  @param[in]       u    is the constraint argument; a simulation-space vector
  @param[in]       z    is the constraint argument; an optimization-space vector
  @param[in,out]   tol  is a tolerance for inexact evaluations; currently unused

  On return, \form#248, where

\(w \in \mathcal{C}^*\), \(v \in \mathcal{U}\), and \(\mathsf{ahwv} \in \mathcal{Z}^*\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 1029 of file example_07.hpp.

References Constraint_BurgersControl< Real >::fem_, ROL::Constraint< Real >::getParameter(), Constraint_BurgersControl< Real >::useHessian_, and ROL::Vector< Real >::zero().

template<class Real>
void Constraint_BurgersControl< Real >::applyAdjointHessian_21 ( ROL::Vector< Real > &  ahwv,
const ROL::Vector< Real > &  w,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the simulation-space derivative of the adjoint of the constraint optimization-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{zu}(u,z)(v,\cdot)^*w\).

  @param[out]      ahwv is the result of applying the simulation-space derivative of the adjoint of the constraint optimization-space Jacobian at @b  \form#218 to the vector @b  \form#242 in direction @b  \form#242; a dual simulation-space vector
  @param[in]       w    is the direction vector; a dual constraint-space vector
  @param[in]       v    is a optimization-space vector
  @param[in]       u    is the constraint argument; a simulation-space vector
  @param[in]       z    is the constraint argument; an optimization-space vector
  @param[in,out]   tol  is a tolerance for inexact evaluations; currently unused

  On return, \form#251, where

\(w \in \mathcal{C}^*\), \(v \in \mathcal{Z}\), and \(\mathsf{ahwv} \in \mathcal{U}^*\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 1053 of file example_07.hpp.

References Constraint_BurgersControl< Real >::fem_, ROL::Constraint< Real >::getParameter(), Constraint_BurgersControl< Real >::useHessian_, and ROL::Vector< Real >::zero().

template<class Real>
void Constraint_BurgersControl< Real >::applyAdjointHessian_22 ( ROL::Vector< Real > &  ahwv,
const ROL::Vector< Real > &  w,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the optimization-space derivative of the adjoint of the constraint optimization-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{zz}(u,z)(v,\cdot)^*w\).

  @param[out]      ahwv is the result of applying the optimization-space derivative of the adjoint of the constraint optimization-space Jacobian at @b  \form#218 to the vector @b  \form#242 in direction @b  \form#242; a dual optimization-space vector
  @param[in]       w    is the direction vector; a dual constraint-space vector
  @param[in]       v    is a optimization-space vector
  @param[in]       u    is the constraint argument; a simulation-space vector
  @param[in]       z    is the constraint argument; an optimization-space vector
  @param[in,out]   tol  is a tolerance for inexact evaluations; currently unused

  On return, \form#253, where

\(w \in \mathcal{C}^*\), \(v \in \mathcal{Z}\), and \(\mathsf{ahwv} \in \mathcal{Z}^*\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 1077 of file example_07.hpp.

References Constraint_BurgersControl< Real >::fem_, ROL::Constraint< Real >::getParameter(), Constraint_BurgersControl< Real >::useHessian_, and ROL::Vector< Real >::zero().

template<class Real>
void Constraint_BurgersControl< Real >::value ( ROL::Vector< Real > &  c,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Evaluate the constraint operator \(c:\mathcal{U}\times\mathcal{Z} \rightarrow \mathcal{C}\) at \((u,z)\).

Parameters
[out]cis the result of evaluating the constraint operator at \((u,z)\); a constraint-space vector
[in]uis the constraint argument; a simulation-space vector
[in]zis the constraint argument; an optimization-space vector
[in,out]tolis a tolerance for inexact evaluations; currently unused

On return, \(\mathsf{c} = c(u,z)\), where \(\mathsf{c} \in \mathcal{C}\), \(\mathsf{u} \in \mathcal{U}\), and $ \(\mathsf{z} \in\mathcal{Z}\).


Implements ROL::Constraint_SimOpt< Real >.

Definition at line 678 of file example_08.hpp.

References Constraint_BurgersControl< Real >::fem_, and ROL::Constraint< Real >::getParameter().

template<class Real>
void Constraint_BurgersControl< Real >::applyJacobian_1 ( ROL::Vector< Real > &  jv,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the partial constraint Jacobian at \((u,z)\), \(c_u(u,z) \in L(\mathcal{U}, \mathcal{C})\), to the vector \(v\).

  @param[out]      jv  is the result of applying the constraint Jacobian to @b v at @b  \form#218; a constraint-space vector
  @param[in]       v   is a simulation-space vector
  @param[in]       u   is the constraint argument; an simulation-space vector
  @param[in]       z   is the constraint argument; an optimization-space vector
  @param[in,out]   tol is a tolerance for inexact evaluations; currently unused

  On return, \form#224, where

\(v \in \mathcal{U}\), \(\mathsf{jv} \in \mathcal{C}\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 694 of file example_08.hpp.

References Constraint_BurgersControl< Real >::fem_, and ROL::Constraint< Real >::getParameter().

template<class Real>
void Constraint_BurgersControl< Real >::applyJacobian_2 ( ROL::Vector< Real > &  jv,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the partial constraint Jacobian at \((u,z)\), \(c_z(u,z) \in L(\mathcal{Z}, \mathcal{C})\), to the vector \(v\).

  @param[out]      jv  is the result of applying the constraint Jacobian to @b v at @b  \form#218; a constraint-space vector
  @param[in]       v   is an optimization-space vector
  @param[in]       u   is the constraint argument; a simulation-space vector
  @param[in]       z   is the constraint argument; an optimization-space vector
  @param[in,out]   tol is a tolerance for inexact evaluations; currently unused

  On return, \form#227, where

\(v \in \mathcal{Z}\), \(\mathsf{jv} \in \mathcal{C}\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 712 of file example_08.hpp.

References Constraint_BurgersControl< Real >::fem_, and ROL::Constraint< Real >::getParameter().

template<class Real>
void Constraint_BurgersControl< Real >::applyInverseJacobian_1 ( ROL::Vector< Real > &  ijv,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the inverse partial constraint Jacobian at \((u,z)\), \(c_u(u,z)^{-1} \in L(\mathcal{C}, \mathcal{U})\), to the vector \(v\).

  @param[out]      ijv is the result of applying the inverse constraint Jacobian to @b v at @b  \form#218; a simulation-space vector
  @param[in]       v   is a constraint-space vector
  @param[in]       u   is the constraint argument; a simulation-space vector
  @param[in]       z   is the constraint argument; an optimization-space vector
  @param[in,out]   tol is a tolerance for inexact evaluations; currently unused

  On return, \form#230, where

\(v \in \mathcal{C}\), \(\mathsf{ijv} \in \mathcal{U}\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 730 of file example_08.hpp.

References Constraint_BurgersControl< Real >::fem_, and ROL::Constraint< Real >::getParameter().

template<class Real>
void Constraint_BurgersControl< Real >::applyAdjointJacobian_1 ( ROL::Vector< Real > &  ajv,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the adjoint of the partial constraint Jacobian at \((u,z)\), \(c_u(u,z)^* \in L(\mathcal{C}^*, \mathcal{U}^*)\), to the vector \(v\). This is the primary interface.

  @param[out]      ajv    is the result of applying the adjoint of the constraint Jacobian to @b v at @b (u,z); a dual simulation-space vector
  @param[in]       v      is a dual constraint-space vector
  @param[in]       u      is the constraint argument; a simulation-space vector
  @param[in]       z      is the constraint argument; an optimization-space vector
  @param[in,out]   tol    is a tolerance for inexact evaluations; currently unused

  On return, \form#233, where

\(v \in \mathcal{C}^*\), \(\mathsf{ajv} \in \mathcal{U}^*\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 748 of file example_08.hpp.

References Constraint_BurgersControl< Real >::fem_, and ROL::Constraint< Real >::getParameter().

template<class Real>
void Constraint_BurgersControl< Real >::applyAdjointJacobian_2 ( ROL::Vector< Real > &  ajv,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the adjoint of the partial constraint Jacobian at \((u,z)\), \(c_z(u,z)^* \in L(\mathcal{C}^*, \mathcal{Z}^*)\), to vector \(v\). This is the primary interface.

  @param[out]      ajv    is the result of applying the adjoint of the constraint Jacobian to @b v at @b  \form#218; a dual optimization-space vector
  @param[in]       v      is a dual constraint-space vector
  @param[in]       u      is the constraint argument; a simulation-space vector
  @param[in]       z      is the constraint argument; an optimization-space vector
  @param[in,out]   tol    is a tolerance for inexact evaluations; currently unused

  On return, \form#236, where

\(v \in \mathcal{C}^*\), \(\mathsf{ajv} \in \mathcal{Z}^*\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 766 of file example_08.hpp.

References Constraint_BurgersControl< Real >::fem_, and ROL::Constraint< Real >::getParameter().

template<class Real>
void Constraint_BurgersControl< Real >::applyInverseAdjointJacobian_1 ( ROL::Vector< Real > &  iajv,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the inverse of the adjoint of the partial constraint Jacobian at \((u,z)\), \(c_u(u,z)^{-*} \in L(\mathcal{U}^*, \mathcal{C}^*)\), to the vector \(v\).

  @param[out]      iajv is the result of applying the inverse adjoint of the constraint Jacobian to @b v at @b (u,z); a dual constraint-space vector
  @param[in]       v   is a dual simulation-space vector
  @param[in]       u   is the constraint argument; a simulation-space vector
  @param[in]       z   is the constraint argument; an optimization-space vector
  @param[in,out]   tol is a tolerance for inexact evaluations; currently unused

  On return, \form#239, where

\(v \in \mathcal{U}^*\), \(\mathsf{iajv} \in \mathcal{C}^*\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 784 of file example_08.hpp.

References Constraint_BurgersControl< Real >::fem_, and ROL::Constraint< Real >::getParameter().

template<class Real>
void Constraint_BurgersControl< Real >::applyAdjointHessian_11 ( ROL::Vector< Real > &  ahwv,
const ROL::Vector< Real > &  w,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the simulation-space derivative of the adjoint of the constraint simulation-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{uu}(u,z)(v,\cdot)^*w\).

  @param[out]      ahwv is the result of applying the simulation-space derivative of the adjoint of the constraint simulation-space Jacobian at @b  \form#218 to the vector @b  \form#242 in direction @b  \form#242; a dual simulation-space vector
  @param[in]       w    is the direction vector; a dual constraint-space vector
  @param[in]       v    is a simulation-space vector
  @param[in]       u    is the constraint argument; a simulation-space vector
  @param[in]       z    is the constraint argument; an optimization-space vector
  @param[in,out]   tol  is a tolerance for inexact evaluations; currently unused

  On return, \form#244, where

\(w \in \mathcal{C}^*\), \(v \in \mathcal{U}\), and \(\mathsf{ahwv} \in \mathcal{U}^*\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 802 of file example_08.hpp.

References Constraint_BurgersControl< Real >::fem_, ROL::Constraint< Real >::getParameter(), Constraint_BurgersControl< Real >::useHessian_, and ROL::Vector< Real >::zero().

template<class Real>
void Constraint_BurgersControl< Real >::applyAdjointHessian_12 ( ROL::Vector< Real > &  ahwv,
const ROL::Vector< Real > &  w,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the optimization-space derivative of the adjoint of the constraint simulation-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{uz}(u,z)(v,\cdot)^*w\).

  @param[out]      ahwv is the result of applying the optimization-space derivative of the adjoint of the constraint simulation-space Jacobian at @b  \form#218 to the vector @b  \form#242 in direction @b  \form#242; a dual optimization-space vector
  @param[in]       w    is the direction vector; a dual constraint-space vector
  @param[in]       v    is a simulation-space vector
  @param[in]       u    is the constraint argument; a simulation-space vector
  @param[in]       z    is the constraint argument; an optimization-space vector
  @param[in,out]   tol  is a tolerance for inexact evaluations; currently unused

  On return, \form#248, where

\(w \in \mathcal{C}^*\), \(v \in \mathcal{U}\), and \(\mathsf{ahwv} \in \mathcal{Z}^*\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 827 of file example_08.hpp.

References Constraint_BurgersControl< Real >::fem_, ROL::Constraint< Real >::getParameter(), Constraint_BurgersControl< Real >::useHessian_, and ROL::Vector< Real >::zero().

template<class Real>
void Constraint_BurgersControl< Real >::applyAdjointHessian_21 ( ROL::Vector< Real > &  ahwv,
const ROL::Vector< Real > &  w,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the simulation-space derivative of the adjoint of the constraint optimization-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{zu}(u,z)(v,\cdot)^*w\).

  @param[out]      ahwv is the result of applying the simulation-space derivative of the adjoint of the constraint optimization-space Jacobian at @b  \form#218 to the vector @b  \form#242 in direction @b  \form#242; a dual simulation-space vector
  @param[in]       w    is the direction vector; a dual constraint-space vector
  @param[in]       v    is a optimization-space vector
  @param[in]       u    is the constraint argument; a simulation-space vector
  @param[in]       z    is the constraint argument; an optimization-space vector
  @param[in,out]   tol  is a tolerance for inexact evaluations; currently unused

  On return, \form#251, where

\(w \in \mathcal{C}^*\), \(v \in \mathcal{Z}\), and \(\mathsf{ahwv} \in \mathcal{U}^*\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 851 of file example_08.hpp.

References Constraint_BurgersControl< Real >::fem_, ROL::Constraint< Real >::getParameter(), Constraint_BurgersControl< Real >::useHessian_, and ROL::Vector< Real >::zero().

template<class Real>
void Constraint_BurgersControl< Real >::applyAdjointHessian_22 ( ROL::Vector< Real > &  ahwv,
const ROL::Vector< Real > &  w,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the optimization-space derivative of the adjoint of the constraint optimization-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{zz}(u,z)(v,\cdot)^*w\).

  @param[out]      ahwv is the result of applying the optimization-space derivative of the adjoint of the constraint optimization-space Jacobian at @b  \form#218 to the vector @b  \form#242 in direction @b  \form#242; a dual optimization-space vector
  @param[in]       w    is the direction vector; a dual constraint-space vector
  @param[in]       v    is a optimization-space vector
  @param[in]       u    is the constraint argument; a simulation-space vector
  @param[in]       z    is the constraint argument; an optimization-space vector
  @param[in,out]   tol  is a tolerance for inexact evaluations; currently unused

  On return, \form#253, where

\(w \in \mathcal{C}^*\), \(v \in \mathcal{Z}\), and \(\mathsf{ahwv} \in \mathcal{Z}^*\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 875 of file example_08.hpp.

References Constraint_BurgersControl< Real >::fem_, ROL::Constraint< Real >::getParameter(), Constraint_BurgersControl< Real >::useHessian_, and ROL::Vector< Real >::zero().

template<class Real>
Real Constraint_BurgersControl< Real >::compute_norm ( const std::vector< Real > &  r)
inlineprivate

Definition at line 39 of file example_10.hpp.

References Constraint_BurgersControl< Real >::dot().

template<class Real>
Real Constraint_BurgersControl< Real >::dot ( const std::vector< Real > &  x,
const std::vector< Real > &  y 
)
inlineprivate
template<class Real>
void Constraint_BurgersControl< Real >::update ( std::vector< Real > &  u,
const std::vector< Real > &  s,
const Real  alpha = 1.0 
)
inlineprivate

Definition at line 62 of file example_10.hpp.

template<class Real>
void Constraint_BurgersControl< Real >::scale ( std::vector< Real > &  u,
const Real  alpha = 0.0 
)
inlineprivate

Definition at line 68 of file example_10.hpp.

template<class Real>
void Constraint_BurgersControl< Real >::compute_residual ( std::vector< Real > &  r,
const std::vector< Real > &  u,
const std::vector< Real > &  z 
)
inlineprivate
template<class Real>
void Constraint_BurgersControl< Real >::compute_pde_jacobian ( std::vector< Real > &  dl,
std::vector< Real > &  d,
std::vector< Real > &  du,
const std::vector< Real > &  u 
)
inlineprivate
template<class Real>
void Constraint_BurgersControl< Real >::linear_solve ( std::vector< Real > &  u,
std::vector< Real > &  dl,
std::vector< Real > &  d,
std::vector< Real > &  du,
const std::vector< Real > &  r,
const bool  transpose = false 
)
inlineprivate

Definition at line 138 of file example_10.hpp.

References Constraint_BurgersControl< Real >::nx_.

template<class Real>
void Constraint_BurgersControl< Real >::value ( ROL::Vector< Real > &  c,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Evaluate the constraint operator \(c:\mathcal{U}\times\mathcal{Z} \rightarrow \mathcal{C}\) at \((u,z)\).

Parameters
[out]cis the result of evaluating the constraint operator at \((u,z)\); a constraint-space vector
[in]uis the constraint argument; a simulation-space vector
[in]zis the constraint argument; an optimization-space vector
[in,out]tolis a tolerance for inexact evaluations; currently unused

On return, \(\mathsf{c} = c(u,z)\), where \(\mathsf{c} \in \mathcal{C}\), \(\mathsf{u} \in \mathcal{U}\), and $ \(\mathsf{z} \in\mathcal{Z}\).


Implements ROL::Constraint_SimOpt< Real >.

Definition at line 160 of file example_10.hpp.

References Constraint_BurgersControl< Real >::compute_residual().

template<class Real>
void Constraint_BurgersControl< Real >::solve ( ROL::Vector< Real > &  c,
ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Given \(z\), solve \(c(u,z)=0\) for \(u\).

Parameters
[out]cis the result of evaluating the constraint operator at \((u,z)\); a constraint-space vector
[in,out]uis the solution vector; a simulation-space vector
[in]zis the constraint argument; an optimization-space vector
[in,out]tolis a tolerance for inexact evaluations; currently unused

The defualt implementation is Newton's method globalized with a backtracking line search.


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 171 of file example_10.hpp.

References ROL::Constraint_SimOpt< Real >::solve().

template<class Real>
void Constraint_BurgersControl< Real >::applyJacobian_1 ( ROL::Vector< Real > &  jv,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the partial constraint Jacobian at \((u,z)\), \(c_u(u,z) \in L(\mathcal{U}, \mathcal{C})\), to the vector \(v\).

  @param[out]      jv  is the result of applying the constraint Jacobian to @b v at @b  \form#218; a constraint-space vector
  @param[in]       v   is a simulation-space vector
  @param[in]       u   is the constraint argument; an simulation-space vector
  @param[in]       z   is the constraint argument; an optimization-space vector
  @param[in,out]   tol is a tolerance for inexact evaluations; currently unused

  On return, \form#224, where

\(v \in \mathcal{U}\), \(\mathsf{jv} \in \mathcal{C}\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 178 of file example_10.hpp.

References Constraint_BurgersControl< Real >::dx_, ROL::Constraint< Real >::getParameter(), and Constraint_BurgersControl< Real >::nx_.

template<class Real>
void Constraint_BurgersControl< Real >::applyJacobian_2 ( ROL::Vector< Real > &  jv,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the partial constraint Jacobian at \((u,z)\), \(c_z(u,z) \in L(\mathcal{Z}, \mathcal{C})\), to the vector \(v\).

  @param[out]      jv  is the result of applying the constraint Jacobian to @b v at @b  \form#218; a constraint-space vector
  @param[in]       v   is an optimization-space vector
  @param[in]       u   is the constraint argument; a simulation-space vector
  @param[in]       z   is the constraint argument; an optimization-space vector
  @param[in,out]   tol is a tolerance for inexact evaluations; currently unused

  On return, \form#227, where

\(v \in \mathcal{Z}\), \(\mathsf{jv} \in \mathcal{C}\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 211 of file example_10.hpp.

References Constraint_BurgersControl< Real >::dx_, and Constraint_BurgersControl< Real >::nx_.

template<class Real>
void Constraint_BurgersControl< Real >::applyInverseJacobian_1 ( ROL::Vector< Real > &  ijv,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the inverse partial constraint Jacobian at \((u,z)\), \(c_u(u,z)^{-1} \in L(\mathcal{C}, \mathcal{U})\), to the vector \(v\).

  @param[out]      ijv is the result of applying the inverse constraint Jacobian to @b v at @b  \form#218; a simulation-space vector
  @param[in]       v   is a constraint-space vector
  @param[in]       u   is the constraint argument; a simulation-space vector
  @param[in]       z   is the constraint argument; an optimization-space vector
  @param[in,out]   tol is a tolerance for inexact evaluations; currently unused

  On return, \form#230, where

\(v \in \mathcal{C}\), \(\mathsf{ijv} \in \mathcal{U}\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 227 of file example_10.hpp.

References Constraint_BurgersControl< Real >::compute_pde_jacobian(), Constraint_BurgersControl< Real >::linear_solve(), and Constraint_BurgersControl< Real >::nx_.

template<class Real>
void Constraint_BurgersControl< Real >::applyAdjointJacobian_1 ( ROL::Vector< Real > &  ajv,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the adjoint of the partial constraint Jacobian at \((u,z)\), \(c_u(u,z)^* \in L(\mathcal{C}^*, \mathcal{U}^*)\), to the vector \(v\). This is the primary interface.

  @param[out]      ajv    is the result of applying the adjoint of the constraint Jacobian to @b v at @b (u,z); a dual simulation-space vector
  @param[in]       v      is a dual constraint-space vector
  @param[in]       u      is the constraint argument; a simulation-space vector
  @param[in]       z      is the constraint argument; an optimization-space vector
  @param[in,out]   tol    is a tolerance for inexact evaluations; currently unused

  On return, \form#233, where

\(v \in \mathcal{C}^*\), \(\mathsf{ajv} \in \mathcal{U}^*\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 246 of file example_10.hpp.

References Constraint_BurgersControl< Real >::dx_, ROL::Constraint< Real >::getParameter(), and Constraint_BurgersControl< Real >::nx_.

template<class Real>
void Constraint_BurgersControl< Real >::applyAdjointJacobian_2 ( ROL::Vector< Real > &  ajv,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the adjoint of the partial constraint Jacobian at \((u,z)\), \(c_z(u,z)^* \in L(\mathcal{C}^*, \mathcal{Z}^*)\), to vector \(v\). This is the primary interface.

  @param[out]      ajv    is the result of applying the adjoint of the constraint Jacobian to @b v at @b  \form#218; a dual optimization-space vector
  @param[in]       v      is a dual constraint-space vector
  @param[in]       u      is the constraint argument; a simulation-space vector
  @param[in]       z      is the constraint argument; an optimization-space vector
  @param[in,out]   tol    is a tolerance for inexact evaluations; currently unused

  On return, \form#236, where

\(v \in \mathcal{C}^*\), \(\mathsf{ajv} \in \mathcal{Z}^*\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 279 of file example_10.hpp.

References Constraint_BurgersControl< Real >::dx_, and Constraint_BurgersControl< Real >::nx_.

template<class Real>
void Constraint_BurgersControl< Real >::applyInverseAdjointJacobian_1 ( ROL::Vector< Real > &  iajv,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the inverse of the adjoint of the partial constraint Jacobian at \((u,z)\), \(c_u(u,z)^{-*} \in L(\mathcal{U}^*, \mathcal{C}^*)\), to the vector \(v\).

  @param[out]      iajv is the result of applying the inverse adjoint of the constraint Jacobian to @b v at @b (u,z); a dual constraint-space vector
  @param[in]       v   is a dual simulation-space vector
  @param[in]       u   is the constraint argument; a simulation-space vector
  @param[in]       z   is the constraint argument; an optimization-space vector
  @param[in,out]   tol is a tolerance for inexact evaluations; currently unused

  On return, \form#239, where

\(v \in \mathcal{U}^*\), \(\mathsf{iajv} \in \mathcal{C}^*\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 308 of file example_10.hpp.

References Constraint_BurgersControl< Real >::compute_pde_jacobian(), Constraint_BurgersControl< Real >::linear_solve(), and Constraint_BurgersControl< Real >::nx_.

template<class Real>
void Constraint_BurgersControl< Real >::applyAdjointHessian_11 ( ROL::Vector< Real > &  ahwv,
const ROL::Vector< Real > &  w,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the simulation-space derivative of the adjoint of the constraint simulation-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{uu}(u,z)(v,\cdot)^*w\).

  @param[out]      ahwv is the result of applying the simulation-space derivative of the adjoint of the constraint simulation-space Jacobian at @b  \form#218 to the vector @b  \form#242 in direction @b  \form#242; a dual simulation-space vector
  @param[in]       w    is the direction vector; a dual constraint-space vector
  @param[in]       v    is a simulation-space vector
  @param[in]       u    is the constraint argument; a simulation-space vector
  @param[in]       z    is the constraint argument; an optimization-space vector
  @param[in,out]   tol  is a tolerance for inexact evaluations; currently unused

  On return, \form#244, where

\(w \in \mathcal{C}^*\), \(v \in \mathcal{U}\), and \(\mathsf{ahwv} \in \mathcal{U}^*\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 325 of file example_10.hpp.

References Constraint_BurgersControl< Real >::nx_.

template<class Real>
void Constraint_BurgersControl< Real >::applyAdjointHessian_12 ( ROL::Vector< Real > &  ahwv,
const ROL::Vector< Real > &  w,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the optimization-space derivative of the adjoint of the constraint simulation-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{uz}(u,z)(v,\cdot)^*w\).

  @param[out]      ahwv is the result of applying the optimization-space derivative of the adjoint of the constraint simulation-space Jacobian at @b  \form#218 to the vector @b  \form#242 in direction @b  \form#242; a dual optimization-space vector
  @param[in]       w    is the direction vector; a dual constraint-space vector
  @param[in]       v    is a simulation-space vector
  @param[in]       u    is the constraint argument; a simulation-space vector
  @param[in]       z    is the constraint argument; an optimization-space vector
  @param[in,out]   tol  is a tolerance for inexact evaluations; currently unused

  On return, \form#248, where

\(w \in \mathcal{C}^*\), \(v \in \mathcal{U}\), and \(\mathsf{ahwv} \in \mathcal{Z}^*\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 349 of file example_10.hpp.

References ROL::Vector< Real >::zero().

template<class Real>
void Constraint_BurgersControl< Real >::applyAdjointHessian_21 ( ROL::Vector< Real > &  ahwv,
const ROL::Vector< Real > &  w,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the simulation-space derivative of the adjoint of the constraint optimization-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{zu}(u,z)(v,\cdot)^*w\).

  @param[out]      ahwv is the result of applying the simulation-space derivative of the adjoint of the constraint optimization-space Jacobian at @b  \form#218 to the vector @b  \form#242 in direction @b  \form#242; a dual simulation-space vector
  @param[in]       w    is the direction vector; a dual constraint-space vector
  @param[in]       v    is a optimization-space vector
  @param[in]       u    is the constraint argument; a simulation-space vector
  @param[in]       z    is the constraint argument; an optimization-space vector
  @param[in,out]   tol  is a tolerance for inexact evaluations; currently unused

  On return, \form#251, where

\(w \in \mathcal{C}^*\), \(v \in \mathcal{Z}\), and \(\mathsf{ahwv} \in \mathcal{U}^*\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 353 of file example_10.hpp.

References ROL::Vector< Real >::zero().

template<class Real>
void Constraint_BurgersControl< Real >::applyAdjointHessian_22 ( ROL::Vector< Real > &  ahwv,
const ROL::Vector< Real > &  w,
const ROL::Vector< Real > &  v,
const ROL::Vector< Real > &  u,
const ROL::Vector< Real > &  z,
Real &  tol 
)
inlinevirtual

Apply the optimization-space derivative of the adjoint of the constraint optimization-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{zz}(u,z)(v,\cdot)^*w\).

  @param[out]      ahwv is the result of applying the optimization-space derivative of the adjoint of the constraint optimization-space Jacobian at @b  \form#218 to the vector @b  \form#242 in direction @b  \form#242; a dual optimization-space vector
  @param[in]       w    is the direction vector; a dual constraint-space vector
  @param[in]       v    is a optimization-space vector
  @param[in]       u    is the constraint argument; a simulation-space vector
  @param[in]       z    is the constraint argument; an optimization-space vector
  @param[in,out]   tol  is a tolerance for inexact evaluations; currently unused

  On return, \form#253, where

\(w \in \mathcal{C}^*\), \(v \in \mathcal{Z}\), and \(\mathsf{ahwv} \in \mathcal{Z}^*\).


Reimplemented from ROL::Constraint_SimOpt< Real >.

Definition at line 357 of file example_10.hpp.

References ROL::Vector< Real >::zero().

Member Data Documentation

template<class Real>
ROL::Ptr< BurgersFEM< Real > > Constraint_BurgersControl< Real >::fem_
private
template<class Real>
bool Constraint_BurgersControl< Real >::useHessian_
private
template<class Real>
int Constraint_BurgersControl< Real >::nx_
private
template<class Real>
Real Constraint_BurgersControl< Real >::dx_
private
template<class Real>
Real Constraint_BurgersControl< Real >::nu_
private
template<class Real>
Real Constraint_BurgersControl< Real >::u0_
private
template<class Real>
Real Constraint_BurgersControl< Real >::u1_
private
template<class Real>
Real Constraint_BurgersControl< Real >::f_
private
template<class Real>
unsigned Constraint_BurgersControl< Real >::nx_
private

Definition at line 38 of file example_03.hpp.

template<class Real>
unsigned Constraint_BurgersControl< Real >::nt_
private
template<class Real>
Real Constraint_BurgersControl< Real >::T_
private

Definition at line 42 of file example_03.hpp.

template<class Real>
Real Constraint_BurgersControl< Real >::dt_
private
template<class Real>
std::vector<Real> Constraint_BurgersControl< Real >::u_init_
private

The documentation for this class was generated from the following files: