ROL
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Poisson material inversion. More...
#include <ROL_PoissonInversion.hpp>
Public Member Functions | |
Objective_PoissonInversion (int nz=32, Real alpha=1.e-4) | |
Real | reg_value (const Vector< Real > &z) |
void | reg_gradient (Vector< Real > &g, const Vector< Real > &z) |
void | reg_hessVec (Vector< Real > &hv, const Vector< Real > &v, const Vector< Real > &z) |
void | apply_mass (Vector< Real > &Mf, const Vector< Real > &f) |
void | solve_poisson (Vector< Real > &u, const Vector< Real > &z, Vector< Real > &b) |
Real | evaluate_target (Real x) |
void | apply_linearized_control_operator (Vector< Real > &Bd, const Vector< Real > &z, const Vector< Real > &d, const Vector< Real > &u) |
void | apply_transposed_linearized_control_operator (Vector< Real > &Bd, const Vector< Real > &z, const Vector< Real > &d, const Vector< Real > &u) |
void | apply_transposed_linearized_control_operator_2 (Vector< Real > &Bd, const Vector< Real > &z, const Vector< Real > &v, const Vector< Real > &d, const Vector< Real > &u) |
void | solve_state_equation (Vector< Real > &u, const Vector< Real > &z) |
void | solve_adjoint_equation (Vector< Real > &p, const Vector< Real > &u, const Vector< Real > &z) |
void | solve_state_sensitivity_equation (Vector< Real > &w, const Vector< Real > &v, const Vector< Real > &u, const Vector< Real > &z) |
void | solve_adjoint_sensitivity_equation (Vector< Real > &q, const Vector< Real > &w, const Vector< Real > &v, const Vector< Real > &p, const Vector< Real > &u, const Vector< Real > &z) |
Real | value (const Vector< Real > &z, Real &tol) |
Compute value. More... | |
void | gradient (Vector< Real > &g, const Vector< Real > &z, Real &tol) |
Compute gradient. More... | |
void | invHessVec (Vector< Real > &hv, const Vector< Real > &v, const Vector< Real > &x, Real &tol) |
Apply inverse Hessian approximation to vector. More... | |
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virtual | ~Objective () |
virtual void | update (const Vector< Real > &x, bool flag=true, int iter=-1) |
Update objective function. More... | |
virtual Real | dirDeriv (const Vector< Real > &x, const Vector< Real > &d, Real &tol) |
Compute directional derivative. More... | |
virtual void | hessVec (Vector< Real > &hv, const Vector< Real > &v, const Vector< Real > &x, Real &tol) |
Apply Hessian approximation to vector. More... | |
virtual void | precond (Vector< Real > &Pv, const Vector< Real > &v, const Vector< Real > &x, Real &tol) |
Apply preconditioner to vector. More... | |
virtual std::vector < std::vector< Real > > | checkGradient (const Vector< Real > &x, const Vector< Real > &d, const bool printToStream=true, std::ostream &outStream=std::cout, const int numSteps=ROL_NUM_CHECKDERIV_STEPS, const int order=1) |
Finite-difference gradient check. More... | |
virtual std::vector < std::vector< Real > > | checkGradient (const Vector< Real > &x, const Vector< Real > &g, const Vector< Real > &d, const bool printToStream=true, std::ostream &outStream=std::cout, const int numSteps=ROL_NUM_CHECKDERIV_STEPS, const int order=1) |
Finite-difference gradient check. More... | |
virtual std::vector < std::vector< Real > > | checkGradient (const Vector< Real > &x, const Vector< Real > &d, const std::vector< Real > &steps, const bool printToStream=true, std::ostream &outStream=std::cout, const int order=1) |
Finite-difference gradient check with specified step sizes. More... | |
virtual std::vector < std::vector< Real > > | checkGradient (const Vector< Real > &x, const Vector< Real > &g, const Vector< Real > &d, const std::vector< Real > &steps, const bool printToStream=true, std::ostream &outStream=std::cout, const int order=1) |
Finite-difference gradient check with specified step sizes. More... | |
virtual std::vector < std::vector< Real > > | checkHessVec (const Vector< Real > &x, const Vector< Real > &v, const bool printToStream=true, std::ostream &outStream=std::cout, const int numSteps=ROL_NUM_CHECKDERIV_STEPS, const int order=1) |
Finite-difference Hessian-applied-to-vector check. More... | |
virtual std::vector < std::vector< Real > > | checkHessVec (const Vector< Real > &x, const Vector< Real > &hv, const Vector< Real > &v, const bool printToStream=true, std::ostream &outStream=std::cout, const int numSteps=ROL_NUM_CHECKDERIV_STEPS, const int order=1) |
Finite-difference Hessian-applied-to-vector check. More... | |
virtual std::vector < std::vector< Real > > | checkHessVec (const Vector< Real > &x, const Vector< Real > &v, const std::vector< Real > &steps, const bool printToStream=true, std::ostream &outStream=std::cout, const int order=1) |
Finite-difference Hessian-applied-to-vector check with specified step sizes. More... | |
virtual std::vector < std::vector< Real > > | checkHessVec (const Vector< Real > &x, const Vector< Real > &hv, const Vector< Real > &v, const std::vector< Real > &steps, const bool printToStream=true, std::ostream &outStream=std::cout, const int order=1) |
Finite-difference Hessian-applied-to-vector check with specified step sizes. More... | |
virtual std::vector< Real > | checkHessSym (const Vector< Real > &x, const Vector< Real > &v, const Vector< Real > &w, const bool printToStream=true, std::ostream &outStream=std::cout) |
Hessian symmetry check. More... | |
virtual std::vector< Real > | checkHessSym (const Vector< Real > &x, const Vector< Real > &hv, const Vector< Real > &v, const Vector< Real > &w, const bool printToStream=true, std::ostream &outStream=std::cout) |
Hessian symmetry check. More... | |
Private Attributes | |
int | nu_ |
int | nz_ |
Real | hu_ |
Real | hz_ |
Real | alpha_ |
Real | eps_ |
int | reg_type_ |
Poisson material inversion.
Definition at line 68 of file ROL_PoissonInversion.hpp.
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Definition at line 84 of file ROL_PoissonInversion.hpp.
References ROL::ZOO::Objective_PoissonInversion< Real >::eps_, ROL::ZOO::Objective_PoissonInversion< Real >::hu_, ROL::ZOO::Objective_PoissonInversion< Real >::hz_, ROL::ZOO::Objective_PoissonInversion< Real >::nu_, ROL::ZOO::Objective_PoissonInversion< Real >::nz_, and ROL::ZOO::Objective_PoissonInversion< Real >::reg_type_.
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Definition at line 93 of file ROL_PoissonInversion.hpp.
References ROL::ZOO::Objective_PoissonInversion< Real >::alpha_, ROL::StdVector_Helper::constDownCast(), ROL::ZOO::Objective_PoissonInversion< Real >::eps_, ROL::ZOO::Objective_PoissonInversion< Real >::hz_, ROL::ZOO::Objective_PoissonInversion< Real >::nz_, and ROL::ZOO::Objective_PoissonInversion< Real >::reg_type_.
Referenced by ROL::ZOO::Objective_PoissonInversion< Real >::value().
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Definition at line 114 of file ROL_PoissonInversion.hpp.
References ROL::ZOO::Objective_PoissonInversion< Real >::alpha_, ROL::StdVector_Helper::constDownCast(), ROL::StdVector_Helper::downCast(), ROL::ZOO::Objective_PoissonInversion< Real >::eps_, ROL::ZOO::Objective_PoissonInversion< Real >::hz_, ROL::ZOO::Objective_PoissonInversion< Real >::nz_, ROL::ZOO::Objective_PoissonInversion< Real >::reg_type_, ROL::Vector< Real >::scale(), and ROL::Vector< Real >::set().
Referenced by ROL::ZOO::Objective_PoissonInversion< Real >::gradient().
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Definition at line 157 of file ROL_PoissonInversion.hpp.
References ROL::ZOO::Objective_PoissonInversion< Real >::alpha_, ROL::StdVector_Helper::constDownCast(), ROL::StdVector_Helper::downCast(), ROL::ZOO::Objective_PoissonInversion< Real >::eps_, ROL::ZOO::Objective_PoissonInversion< Real >::hz_, ROL::ZOO::Objective_PoissonInversion< Real >::nz_, ROL::ZOO::Objective_PoissonInversion< Real >::reg_type_, ROL::Vector< Real >::scale(), and ROL::Vector< Real >::set().
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Definition at line 211 of file ROL_PoissonInversion.hpp.
References ROL::StdVector_Helper::constDownCast(), ROL::StdVector_Helper::downCast(), ROL::ZOO::Objective_PoissonInversion< Real >::hu_, and ROL::ZOO::Objective_PoissonInversion< Real >::nu_.
Referenced by ROL::ZOO::Objective_PoissonInversion< Real >::solve_adjoint_equation(), ROL::ZOO::Objective_PoissonInversion< Real >::solve_adjoint_sensitivity_equation(), and ROL::ZOO::Objective_PoissonInversion< Real >::value().
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Definition at line 232 of file ROL_PoissonInversion.hpp.
References ROL::StdVector_Helper::constDownCast(), ROL::StdVector_Helper::downCast(), ROL::ZOO::Objective_PoissonInversion< Real >::hu_, ROL::ZOO::Objective_PoissonInversion< Real >::nu_, and ROL::Vector< Real >::set().
Referenced by ROL::ZOO::Objective_PoissonInversion< Real >::solve_adjoint_equation(), ROL::ZOO::Objective_PoissonInversion< Real >::solve_adjoint_sensitivity_equation(), ROL::ZOO::Objective_PoissonInversion< Real >::solve_state_equation(), and ROL::ZOO::Objective_PoissonInversion< Real >::solve_state_sensitivity_equation().
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Definition at line 263 of file ROL_PoissonInversion.hpp.
Referenced by ROL::ZOO::Objective_PoissonInversion< Real >::solve_adjoint_equation(), and ROL::ZOO::Objective_PoissonInversion< Real >::value().
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Definition at line 267 of file ROL_PoissonInversion.hpp.
References ROL::StdVector_Helper::constDownCast(), ROL::StdVector_Helper::downCast(), ROL::ZOO::Objective_PoissonInversion< Real >::hu_, and ROL::ZOO::Objective_PoissonInversion< Real >::nu_.
Referenced by ROL::ZOO::Objective_PoissonInversion< Real >::solve_adjoint_sensitivity_equation(), and ROL::ZOO::Objective_PoissonInversion< Real >::solve_state_sensitivity_equation().
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Definition at line 298 of file ROL_PoissonInversion.hpp.
References ROL::StdVector_Helper::constDownCast(), ROL::StdVector_Helper::downCast(), ROL::ZOO::Objective_PoissonInversion< Real >::hu_, and ROL::ZOO::Objective_PoissonInversion< Real >::nz_.
Referenced by ROL::ZOO::Objective_PoissonInversion< Real >::gradient().
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Definition at line 326 of file ROL_PoissonInversion.hpp.
References ROL::StdVector_Helper::constDownCast(), ROL::StdVector_Helper::downCast(), ROL::ZOO::Objective_PoissonInversion< Real >::hu_, and ROL::ZOO::Objective_PoissonInversion< Real >::nz_.
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Definition at line 358 of file ROL_PoissonInversion.hpp.
References ROL::ZOO::Objective_PoissonInversion< Real >::hu_, ROL::ZOO::Objective_PoissonInversion< Real >::nu_, ROL::ROL_EPSILON, and ROL::ZOO::Objective_PoissonInversion< Real >::solve_poisson().
Referenced by ROL::ZOO::Objective_PoissonInversion< Real >::gradient(), and ROL::ZOO::Objective_PoissonInversion< Real >::value().
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Definition at line 380 of file ROL_PoissonInversion.hpp.
References ROL::ZOO::Objective_PoissonInversion< Real >::apply_mass(), ROL::StdVector_Helper::constDownCast(), ROL::StdVector_Helper::downCast(), ROL::ZOO::Objective_PoissonInversion< Real >::evaluate_target(), ROL::ZOO::Objective_PoissonInversion< Real >::hu_, ROL::ZOO::Objective_PoissonInversion< Real >::nu_, and ROL::ZOO::Objective_PoissonInversion< Real >::solve_poisson().
Referenced by ROL::ZOO::Objective_PoissonInversion< Real >::gradient().
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Definition at line 404 of file ROL_PoissonInversion.hpp.
References ROL::ZOO::Objective_PoissonInversion< Real >::apply_linearized_control_operator(), ROL::ZOO::Objective_PoissonInversion< Real >::apply_mass(), ROL::Vector< Real >::axpy(), ROL::ZOO::Objective_PoissonInversion< Real >::nu_, and ROL::ZOO::Objective_PoissonInversion< Real >::solve_poisson().
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Compute value.
This function returns the objective function value.
[in] | x | is the current iterate. |
[in] | tol | is a tolerance for inexact objective function computation. |
Implements ROL::Objective< Real >.
Definition at line 415 of file ROL_PoissonInversion.hpp.
References ROL::ZOO::Objective_PoissonInversion< Real >::apply_mass(), ROL::StdVector< Real, Element >::dot(), ROL::StdVector_Helper::downCast(), ROL::ZOO::Objective_PoissonInversion< Real >::evaluate_target(), ROL::ZOO::Objective_PoissonInversion< Real >::hu_, ROL::ZOO::Objective_PoissonInversion< Real >::nu_, ROL::ZOO::Objective_PoissonInversion< Real >::reg_value(), and ROL::ZOO::Objective_PoissonInversion< Real >::solve_state_equation().
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Compute gradient.
This function returns the objective function gradient.
[out] | g | is the gradient. |
[in] | x | is the current iterate. |
[in] | tol | is a tolerance for inexact objective function computation. |
The default implementation is a finite-difference approximation based on the function value. This requires the definition of a basis \(\{\phi_i\}\) for the optimization vectors x and the definition of a basis \(\{\psi_j\}\) for the dual optimization vectors (gradient vectors g). The bases must be related through the Riesz map, i.e., \( R \{\phi_i\} = \{\psi_j\}\), and this must be reflected in the implementation of the ROL::Vector::dual() method.
Reimplemented from ROL::Objective< Real >.
Definition at line 436 of file ROL_PoissonInversion.hpp.
References ROL::ZOO::Objective_PoissonInversion< Real >::apply_transposed_linearized_control_operator(), ROL::ZOO::Objective_PoissonInversion< Real >::nu_, ROL::ZOO::Objective_PoissonInversion< Real >::nz_, ROL::Vector< Real >::plus(), ROL::ZOO::Objective_PoissonInversion< Real >::reg_gradient(), ROL::ZOO::Objective_PoissonInversion< Real >::solve_adjoint_equation(), and ROL::ZOO::Objective_PoissonInversion< Real >::solve_state_equation().
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Apply inverse Hessian approximation to vector.
This function applies the inverse Hessian of the objective function to the vector \(v\).
[out] | hv | is the action of the inverse Hessian on \(v\). |
[in] | v | is the direction vector. |
[in] | x | is the current iterate. |
[in] | tol | is a tolerance for inexact objective function computation. |
Reimplemented from ROL::Objective< Real >.
Definition at line 495 of file ROL_PoissonInversion.hpp.
References ROL::StdVector_Helper::constDownCast(), and ROL::StdVector_Helper::downCast().
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Definition at line 70 of file ROL_PoissonInversion.hpp.
Referenced by ROL::ZOO::Objective_PoissonInversion< Real >::apply_linearized_control_operator(), ROL::ZOO::Objective_PoissonInversion< Real >::apply_mass(), ROL::ZOO::Objective_PoissonInversion< Real >::gradient(), ROL::ZOO::Objective_PoissonInversion< Real >::Objective_PoissonInversion(), ROL::ZOO::Objective_PoissonInversion< Real >::solve_adjoint_equation(), ROL::ZOO::Objective_PoissonInversion< Real >::solve_adjoint_sensitivity_equation(), ROL::ZOO::Objective_PoissonInversion< Real >::solve_poisson(), ROL::ZOO::Objective_PoissonInversion< Real >::solve_state_equation(), ROL::ZOO::Objective_PoissonInversion< Real >::solve_state_sensitivity_equation(), and ROL::ZOO::Objective_PoissonInversion< Real >::value().
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Definition at line 71 of file ROL_PoissonInversion.hpp.
Referenced by ROL::ZOO::Objective_PoissonInversion< Real >::apply_transposed_linearized_control_operator(), ROL::ZOO::Objective_PoissonInversion< Real >::apply_transposed_linearized_control_operator_2(), ROL::ZOO::Objective_PoissonInversion< Real >::gradient(), ROL::ZOO::Objective_PoissonInversion< Real >::Objective_PoissonInversion(), ROL::ZOO::Objective_PoissonInversion< Real >::reg_gradient(), ROL::ZOO::Objective_PoissonInversion< Real >::reg_hessVec(), and ROL::ZOO::Objective_PoissonInversion< Real >::reg_value().
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Definition at line 73 of file ROL_PoissonInversion.hpp.
Referenced by ROL::ZOO::Objective_PoissonInversion< Real >::apply_linearized_control_operator(), ROL::ZOO::Objective_PoissonInversion< Real >::apply_mass(), ROL::ZOO::Objective_PoissonInversion< Real >::apply_transposed_linearized_control_operator(), ROL::ZOO::Objective_PoissonInversion< Real >::apply_transposed_linearized_control_operator_2(), ROL::ZOO::Objective_PoissonInversion< Real >::Objective_PoissonInversion(), ROL::ZOO::Objective_PoissonInversion< Real >::solve_adjoint_equation(), ROL::ZOO::Objective_PoissonInversion< Real >::solve_poisson(), ROL::ZOO::Objective_PoissonInversion< Real >::solve_state_equation(), and ROL::ZOO::Objective_PoissonInversion< Real >::value().
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Definition at line 74 of file ROL_PoissonInversion.hpp.
Referenced by ROL::ZOO::Objective_PoissonInversion< Real >::Objective_PoissonInversion(), ROL::ZOO::Objective_PoissonInversion< Real >::reg_gradient(), ROL::ZOO::Objective_PoissonInversion< Real >::reg_hessVec(), and ROL::ZOO::Objective_PoissonInversion< Real >::reg_value().
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Definition at line 76 of file ROL_PoissonInversion.hpp.
Referenced by ROL::ZOO::Objective_PoissonInversion< Real >::reg_gradient(), ROL::ZOO::Objective_PoissonInversion< Real >::reg_hessVec(), and ROL::ZOO::Objective_PoissonInversion< Real >::reg_value().
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Definition at line 78 of file ROL_PoissonInversion.hpp.
Referenced by ROL::ZOO::Objective_PoissonInversion< Real >::Objective_PoissonInversion(), ROL::ZOO::Objective_PoissonInversion< Real >::reg_gradient(), ROL::ZOO::Objective_PoissonInversion< Real >::reg_hessVec(), and ROL::ZOO::Objective_PoissonInversion< Real >::reg_value().
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Definition at line 79 of file ROL_PoissonInversion.hpp.
Referenced by ROL::ZOO::Objective_PoissonInversion< Real >::Objective_PoissonInversion(), ROL::ZOO::Objective_PoissonInversion< Real >::reg_gradient(), ROL::ZOO::Objective_PoissonInversion< Real >::reg_hessVec(), and ROL::ZOO::Objective_PoissonInversion< Real >::reg_value().