ROL
Public Member Functions | Private Attributes | List of all members
ROL::Objective_PoissonInversion< Real > Class Template Reference

Poisson material inversion. More...

#include <ROL_PoissonInversion.hpp>

+ Inheritance diagram for ROL::Objective_PoissonInversion< Real >:

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...
 
- Public Member Functions inherited from ROL::Objective< Real >
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 printToScreen=true, const int numSteps=ROL_NUM_CHECKDERIV_STEPS)
 Finite-difference gradient check. More...
 
virtual std::vector
< std::vector< Real > > 
checkHessVec (const Vector< Real > &x, const Vector< Real > &v, const bool printToScreen=true, const int numSteps=ROL_NUM_CHECKDERIV_STEPS)
 Finite-difference Hessian-applied-to-vector check. More...
 
virtual std::vector< Real > checkHessSym (const Vector< Real > &x, const Vector< Real > &v, const Vector< Real > &w, const bool printToScreen=true)
 Hessian symmetry check. More...
 

Private Attributes

int nu_
 
int nz_
 
Real hu_
 
Real hz_
 
Real alpha_
 
Real eps_
 
int reg_type_
 

Detailed Description

template<class Real>
class ROL::Objective_PoissonInversion< Real >

Poisson material inversion.

Definition at line 67 of file ROL_PoissonInversion.hpp.

Member Function Documentation

template<class Real>
Real ROL::Objective_PoissonInversion< Real >::value ( const Vector< Real > &  x,
Real &  tol 
)
inlinevirtual

Compute value.

This function returns the objective function value.

Parameters
[in]xis the current iterate.
[in]tolis a tolerance for inexact objective function computation.

Implements ROL::Objective< Real >.

Definition at line 414 of file ROL_PoissonInversion.hpp.

References ROL::StdVector< Real, Element >::dot().

template<class Real>
void ROL::Objective_PoissonInversion< Real >::gradient ( Vector< Real > &  g,
const Vector< Real > &  x,
Real &  tol 
)
inlinevirtual

Compute gradient.

This function returns the objective function gradient.

Parameters
[out]gis the gradient.
[in]xis the current iterate.
[in]tolis a tolerance for inexact objective function computation.

Reimplemented from ROL::Objective< Real >.

Definition at line 435 of file ROL_PoissonInversion.hpp.

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

template<class Real>
void ROL::Objective_PoissonInversion< Real >::invHessVec ( Vector< Real > &  hv,
const Vector< Real > &  v,
const Vector< Real > &  x,
Real &  tol 
)
inlinevirtual

Apply inverse Hessian approximation to vector.

This function applies the inverse Hessian of the objective function to the vector \(v\).

Parameters
[out]hvis the action of the inverse Hessian on \(v\).
[in]vis the direction vector.
[in]xis the current iterate.
[in]tolis a tolerance for inexact objective function computation.

Reimplemented from ROL::Objective< Real >.

Definition at line 494 of file ROL_PoissonInversion.hpp.


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