ROL
Objective_BurgersControl< Real > Class Template Reference

#include <example_01.hpp>

Inheritance diagram for Objective_BurgersControl< Real >:

Public Member Functions

 Objective_BurgersControl (Real alpha=1.e-4, int nx=128)
void solve_state (std::vector< Real > &u, const std::vector< Real > &z, const std::vector< Real > &param)
void solve_adjoint (std::vector< Real > &p, const std::vector< Real > &u, const std::vector< Real > &param)
void solve_state_sensitivity (std::vector< Real > &v, const std::vector< Real > &u, const std::vector< Real > &z, const std::vector< Real > &param)
void solve_adjoint_sensitivity (std::vector< Real > &q, const std::vector< Real > &u, const std::vector< Real > &p, const std::vector< Real > &v, const std::vector< Real > &z, const std::vector< Real > &param)
Real value (const ROL::Vector< Real > &z, Real &tol)
 Compute value.
void gradient (ROL::Vector< Real > &g, const ROL::Vector< Real > &z, Real &tol)
 Compute gradient.
void hessVec (ROL::Vector< Real > &hv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &z, Real &tol)
 Apply Hessian approximation to vector.
 Objective_BurgersControl (Real alpha=1.e-4, int nx=128)
Real value (const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Compute value.
void gradient_1 (ROL::Vector< Real > &g, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Compute gradient with respect to first component.
void gradient_2 (ROL::Vector< Real > &g, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Compute gradient with respect to second component.
void hessVec_11 (ROL::Vector< Real > &hv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply Hessian approximation to vector.
void hessVec_12 (ROL::Vector< Real > &hv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
void hessVec_21 (ROL::Vector< Real > &hv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
void hessVec_22 (ROL::Vector< Real > &hv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Objective_BurgersControl (Real alpha=1.e-4, int nx=128, int nt=100, Real T=1.0)
Real value (const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Compute value.
void gradient_1 (ROL::Vector< Real > &g, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Compute gradient with respect to first component.
void gradient_2 (ROL::Vector< Real > &g, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Compute gradient with respect to second component.
void hessVec_11 (ROL::Vector< Real > &hv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply Hessian approximation to vector.
void hessVec_12 (ROL::Vector< Real > &hv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
void hessVec_21 (ROL::Vector< Real > &hv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
void hessVec_22 (ROL::Vector< Real > &hv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Objective_BurgersControl (const ROL::Ptr< BurgersFEM< Real > > &fem, const ROL::Ptr< ROL::Vector< Real > > &ud, Real alpha=1.e-4)
Real value (const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Compute value.
void gradient_1 (ROL::Vector< Real > &g, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Compute gradient with respect to first component.
void gradient_2 (ROL::Vector< Real > &g, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Compute gradient with respect to second component.
void hessVec_11 (ROL::Vector< Real > &hv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply Hessian approximation to vector.
void hessVec_12 (ROL::Vector< Real > &hv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
void hessVec_21 (ROL::Vector< Real > &hv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
void hessVec_22 (ROL::Vector< Real > &hv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Objective_BurgersControl (Real alpha=1.e-4, int nx=128)
Real value (const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Compute value.
void gradient_1 (ROL::Vector< Real > &g, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Compute gradient with respect to first component.
void gradient_2 (ROL::Vector< Real > &g, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Compute gradient with respect to second component.
void hessVec_11 (ROL::Vector< Real > &hv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply Hessian approximation to vector.
void hessVec_12 (ROL::Vector< Real > &hv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
void hessVec_21 (ROL::Vector< Real > &hv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
void hessVec_22 (ROL::Vector< Real > &hv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Objective_BurgersControl (const ROL::Ptr< BurgersFEM< Real > > &fem, const ROL::Ptr< ROL::Vector< Real > > &ud, Real alpha=1.e-4)
Real value (const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Compute value.
void gradient_1 (ROL::Vector< Real > &g, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Compute gradient with respect to first component.
void gradient_2 (ROL::Vector< Real > &g, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Compute gradient with respect to second component.
void hessVec_11 (ROL::Vector< Real > &hv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply Hessian approximation to vector.
void hessVec_12 (ROL::Vector< Real > &hv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
void hessVec_21 (ROL::Vector< Real > &hv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
void hessVec_22 (ROL::Vector< Real > &hv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Objective_BurgersControl (const ROL::Ptr< BurgersFEM< Real > > &fem, Real x=0.0)
Real value (const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Compute value.
void gradient_1 (ROL::Vector< Real > &g, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Compute gradient with respect to first component.
void gradient_2 (ROL::Vector< Real > &g, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Compute gradient with respect to second component.
void hessVec_11 (ROL::Vector< Real > &hv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply Hessian approximation to vector.
void hessVec_12 (ROL::Vector< Real > &hv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
void hessVec_21 (ROL::Vector< Real > &hv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
void hessVec_22 (ROL::Vector< Real > &hv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Objective_BurgersControl (const ROL::Ptr< BurgersFEM< Real > > &fem, const ROL::Ptr< ROL::Vector< Real > > &ud, Real alpha=1.e-4)
Real value (const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Compute value.
void gradient_1 (ROL::Vector< Real > &g, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Compute gradient with respect to first component.
void gradient_2 (ROL::Vector< Real > &g, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Compute gradient with respect to second component.
void hessVec_11 (ROL::Vector< Real > &hv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply Hessian approximation to vector.
void hessVec_12 (ROL::Vector< Real > &hv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
void hessVec_21 (ROL::Vector< Real > &hv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
void hessVec_22 (ROL::Vector< Real > &hv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Objective_BurgersControl (Real alpha=1.e-4, int nx=128)
Real value (const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Compute value.
void gradient_1 (ROL::Vector< Real > &g, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Compute gradient with respect to first component.
void gradient_2 (ROL::Vector< Real > &g, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Compute gradient with respect to second component.
void hessVec_11 (ROL::Vector< Real > &hv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
 Apply Hessian approximation to vector.
void hessVec_12 (ROL::Vector< Real > &hv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
void hessVec_21 (ROL::Vector< Real > &hv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
void hessVec_22 (ROL::Vector< Real > &hv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol)
Public Member Functions inherited from ROL::Objective< Real >
virtual ~Objective ()
 Objective ()
virtual void update (const Vector< Real > &x, UpdateType type, int iter=-1)
 Update objective function.
virtual void update (const Vector< Real > &x, bool flag=true, int iter=-1)
 Update objective function.
virtual Real dirDeriv (const Vector< Real > &x, const Vector< Real > &d, Real &tol)
 Compute directional derivative.
virtual void invHessVec (Vector< Real > &hv, const Vector< Real > &v, const Vector< Real > &x, Real &tol)
 Apply inverse Hessian approximation to vector.
virtual void precond (Vector< Real > &Pv, const Vector< Real > &v, const Vector< Real > &x, Real &tol)
 Apply preconditioner to vector.
virtual void prox (Vector< Real > &Pv, const Vector< Real > &v, Real t, Real &tol)
 Compute the proximity operator.
virtual void proxJacVec (Vector< Real > &Jv, const Vector< Real > &v, const Vector< Real > &x, Real t, Real &tol)
 Apply the Jacobian of the proximity operator.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
virtual std::vector< std::vector< Real > > checkProxJacVec (const Vector< Real > &x, const Vector< Real > &v, Real t=Real(1), bool printToStream=true, std::ostream &outStream=std::cout, int numSteps=ROL_NUM_CHECKDERIV_STEPS)
 Finite-difference proximity operator Jacobian-applied-to-vector check.
virtual void setParameter (const std::vector< Real > &param)
Public Member Functions inherited from ROL::Objective_SimOpt< Real >
virtual void update (const Vector< Real > &u, const Vector< Real > &z, bool flag=true, int iter=-1)
 Update objective function.
u is an iterate, z is an iterate, flag = true if the iterate has changed, iter is the outer algorithm iterations count.
void update (const Vector< Real > &x, bool flag=true, int iter=-1)
virtual void update (const Vector< Real > &u, const Vector< Real > &z, UpdateType type, int iter=-1)
void update (const Vector< Real > &x, UpdateType type, int iter=-1)
Real value (const Vector< Real > &x, Real &tol)
void gradient (Vector< Real > &g, const Vector< Real > &x, Real &tol)
void hessVec (Vector< Real > &hv, const Vector< Real > &v, const Vector< Real > &x, Real &tol)
std::vector< std::vector< Real > > checkGradient_1 (const Vector< Real > &u, const Vector< Real > &z, const Vector< Real > &d, 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 > > checkGradient_1 (const Vector< Real > &u, const Vector< Real > &z, const Vector< Real > &g, const Vector< Real > &d, const bool printToStream, std::ostream &outStream, const int numSteps, const int order)
std::vector< std::vector< Real > > checkGradient_1 (const Vector< Real > &u, const Vector< Real > &z, const Vector< Real > &g, const Vector< Real > &d, const std::vector< Real > &steps, const bool printToStream, std::ostream &outStream, const int order)
std::vector< std::vector< Real > > checkGradient_2 (const Vector< Real > &u, const Vector< Real > &z, const Vector< Real > &d, 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 > > checkGradient_2 (const Vector< Real > &u, const Vector< Real > &z, const Vector< Real > &g, const Vector< Real > &d, const bool printToStream, std::ostream &outStream, const int numSteps, const int order)
std::vector< std::vector< Real > > checkGradient_2 (const Vector< Real > &u, const Vector< Real > &z, const Vector< Real > &g, const Vector< Real > &d, const std::vector< Real > &steps, const bool printToStream, std::ostream &outStream, const int order)
std::vector< std::vector< Real > > checkHessVec_11 (const Vector< Real > &u, const Vector< Real > &z, const Vector< Real > &v, 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 > > checkHessVec_11 (const Vector< Real > &u, const Vector< Real > &z, const Vector< Real > &v, const std::vector< Real > &steps, const bool printToStream=true, std::ostream &outStream=std::cout, const int order=1)
std::vector< std::vector< Real > > checkHessVec_11 (const Vector< Real > &u, const Vector< Real > &z, const Vector< Real > &hv, const Vector< Real > &v, const bool printToStream, std::ostream &outStream, const int numSteps, const int order)
std::vector< std::vector< Real > > checkHessVec_11 (const Vector< Real > &u, const Vector< Real > &z, const Vector< Real > &hv, const Vector< Real > &v, const std::vector< Real > &steps, const bool printToStream, std::ostream &outStream, const int order)
std::vector< std::vector< Real > > checkHessVec_12 (const Vector< Real > &u, const Vector< Real > &z, const Vector< Real > &v, 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 > > checkHessVec_12 (const Vector< Real > &u, const Vector< Real > &z, const Vector< Real > &v, const std::vector< Real > &steps, const bool printToStream=true, std::ostream &outStream=std::cout, const int order=1)
std::vector< std::vector< Real > > checkHessVec_12 (const Vector< Real > &u, const Vector< Real > &z, const Vector< Real > &hv, const Vector< Real > &v, const bool printToStream, std::ostream &outStream, const int numSteps, const int order)
std::vector< std::vector< Real > > checkHessVec_12 (const Vector< Real > &u, const Vector< Real > &z, const Vector< Real > &hv, const Vector< Real > &v, const std::vector< Real > &steps, const bool printToStream, std::ostream &outStream, const int order)
std::vector< std::vector< Real > > checkHessVec_21 (const Vector< Real > &u, const Vector< Real > &z, const Vector< Real > &v, 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 > > checkHessVec_21 (const Vector< Real > &u, const Vector< Real > &z, const Vector< Real > &v, const std::vector< Real > &steps, const bool printToStream=true, std::ostream &outStream=std::cout, const int order=1)
std::vector< std::vector< Real > > checkHessVec_21 (const Vector< Real > &u, const Vector< Real > &z, const Vector< Real > &hv, const Vector< Real > &v, const bool printToStream, std::ostream &outStream, const int numSteps, const int order)
std::vector< std::vector< Real > > checkHessVec_21 (const Vector< Real > &u, const Vector< Real > &z, const Vector< Real > &hv, const Vector< Real > &v, const std::vector< Real > &steps, const bool printToStream, std::ostream &outStream, const int order)
std::vector< std::vector< Real > > checkHessVec_22 (const Vector< Real > &u, const Vector< Real > &z, const Vector< Real > &v, 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 > > checkHessVec_22 (const Vector< Real > &u, const Vector< Real > &z, const Vector< Real > &v, const std::vector< Real > &steps, const bool printToStream=true, std::ostream &outStream=std::cout, const int order=1)
std::vector< std::vector< Real > > checkHessVec_22 (const Vector< Real > &u, const Vector< Real > &z, const Vector< Real > &hv, const Vector< Real > &v, const bool printToStream, std::ostream &outStream, const int numSteps, const int order)
std::vector< std::vector< Real > > checkHessVec_22 (const Vector< Real > &u, const Vector< Real > &z, const Vector< Real > &hv, const Vector< Real > &v, const std::vector< Real > &steps, const bool printToStream, std::ostream &outStream, const int order)
Public Member Functions inherited from ROL::ROL::Objective< Real >
virtual ~Objective ()
 Objective ()
virtual void update (const Vector< Real > &x, UpdateType type, int iter=-1)
 Update objective function.
virtual void update (const Vector< Real > &x, bool flag=true, int iter=-1)
 Update objective function.
virtual Real value (const Vector< Real > &x, Real &tol)=0
 Compute value.
virtual void gradient (Vector< Real > &g, const Vector< Real > &x, Real &tol)
 Compute gradient.
virtual Real dirDeriv (const Vector< Real > &x, const Vector< Real > &d, Real &tol)
 Compute directional derivative.
virtual void hessVec (Vector< Real > &hv, const Vector< Real > &v, const Vector< Real > &x, Real &tol)
 Apply Hessian approximation to vector.
virtual void invHessVec (Vector< Real > &hv, const Vector< Real > &v, const Vector< Real > &x, Real &tol)
 Apply inverse Hessian approximation to vector.
virtual void precond (Vector< Real > &Pv, const Vector< Real > &v, const Vector< Real > &x, Real &tol)
 Apply preconditioner to vector.
virtual void prox (Vector< Real > &Pv, const Vector< Real > &v, Real t, Real &tol)
 Compute the proximity operator.
virtual void proxJacVec (Vector< Real > &Jv, const Vector< Real > &v, const Vector< Real > &x, Real t, Real &tol)
 Apply the Jacobian of the proximity operator.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
virtual std::vector< std::vector< Real > > checkProxJacVec (const Vector< Real > &x, const Vector< Real > &v, Real t=Real(1), bool printToStream=true, std::ostream &outStream=std::cout, int numSteps=ROL_NUM_CHECKDERIV_STEPS)
 Finite-difference proximity operator Jacobian-applied-to-vector check.
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 H1VectorPrimal< Real > PrimalStateVector
typedef H1VectorDual< Real > DualStateVector
typedef L2VectorPrimal< Real > PrimalControlVector
typedef L2VectorDual< Real > DualControlVector
typedef H1VectorPrimal< Real > PrimalStateVector
typedef H1VectorDual< Real > DualStateVector
typedef L2VectorPrimal< Real > PrimalControlVector
typedef L2VectorDual< Real > DualControlVector
typedef std::vector< Real >::size_type uint
typedef H1VectorPrimal< Real > PrimalStateVector
typedef H1VectorDual< Real > DualStateVector
typedef L2VectorPrimal< Real > PrimalControlVector
typedef L2VectorDual< Real > DualControlVector

Private Member Functions

Real evaluate_target (Real x)
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 apply_mass (std::vector< Real > &Mu, const std::vector< Real > &u)
void compute_residual (std::vector< Real > &r, const std::vector< Real > &u, const std::vector< Real > &z, const std::vector< Real > &param)
void compute_pde_jacobian (std::vector< Real > &dl, std::vector< Real > &d, std::vector< Real > &du, const std::vector< Real > &u, const std::vector< Real > &param)
void add_pde_hessian (std::vector< Real > &r, const std::vector< Real > &u, const std::vector< Real > &p, const std::vector< Real > &s, Real alpha=1.0)
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)
void run_newton (std::vector< Real > &u, const std::vector< Real > &z, const std::vector< Real > &param)
Real evaluate_target (Real x)
Real dot (const std::vector< Real > &x, const std::vector< Real > &y)
void apply_mass (std::vector< Real > &Mu, const std::vector< Real > &u)
Real evaluate_target (Real x)
Real dot (const std::vector< Real > &x, const std::vector< Real > &y)
void apply_mass (std::vector< Real > &Mu, const std::vector< Real > &u)
Real evaluate_target (Real x)
Real dot (const std::vector< Real > &x, const std::vector< Real > &y)
void apply_mass (std::vector< Real > &Mu, const std::vector< Real > &u)
Real evaluate_target (Real x)
Real dot (const std::vector< Real > &x, const std::vector< Real > &y)
void apply_mass (std::vector< Real > &Mu, const std::vector< Real > &u)

Private Attributes

Real alpha_
int nx_
Real dx_
unsigned nx_
unsigned nt_
Real dt_
Real T_
ROL::Ptr< BurgersFEM< Real > > fem_
ROL::Ptr< ROL::Vector< Real > > ud_
ROL::Ptr< ROL::Vector< Real > > diff_
Real x_
std::vector< int > indices_

Additional Inherited Members

Protected Member Functions inherited from ROL::Objective< Real >
const std::vector< Real > getParameter (void) const
Protected Member Functions inherited from ROL::ROL::Objective< Real >
const std::vector< Real > getParameter (void) const

Detailed Description

template<class Real>
class Objective_BurgersControl< Real >

Definition at line 20 of file burgers-control/example_01.hpp.

Member Typedef Documentation

◆ PrimalStateVector [1/4]

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

Definition at line 1044 of file example_04.hpp.

◆ DualStateVector [1/4]

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

Definition at line 1045 of file example_04.hpp.

◆ PrimalControlVector [1/4]

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

Definition at line 1047 of file example_04.hpp.

◆ DualControlVector [1/4]

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

Definition at line 1048 of file example_04.hpp.

◆ PrimalStateVector [2/4]

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

Definition at line 1101 of file example_06.hpp.

◆ DualStateVector [2/4]

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

Definition at line 1102 of file example_06.hpp.

◆ PrimalControlVector [2/4]

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

Definition at line 1104 of file example_06.hpp.

◆ DualControlVector [2/4]

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

Definition at line 1105 of file example_06.hpp.

◆ PrimalStateVector [3/4]

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

Definition at line 1107 of file example_07.hpp.

◆ DualStateVector [3/4]

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

Definition at line 1108 of file example_07.hpp.

◆ PrimalControlVector [3/4]

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

Definition at line 1110 of file example_07.hpp.

◆ DualControlVector [3/4]

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

Definition at line 1111 of file example_07.hpp.

◆ uint

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

Definition at line 1113 of file example_07.hpp.

◆ PrimalStateVector [4/4]

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

Definition at line 905 of file example_08.hpp.

◆ DualStateVector [4/4]

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

Definition at line 906 of file example_08.hpp.

◆ PrimalControlVector [4/4]

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

Definition at line 908 of file example_08.hpp.

◆ DualControlVector [4/4]

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

Definition at line 909 of file example_08.hpp.

Constructor & Destructor Documentation

◆ Objective_BurgersControl() [1/9]

template<class Real>
Objective_BurgersControl< Real >::Objective_BurgersControl ( Real alpha = 1.e-4,
int nx = 128 )
inline

Definition at line 237 of file burgers-control/example_01.hpp.

References alpha_, dx_, and nx_.

◆ Objective_BurgersControl() [2/9]

template<class Real>
Objective_BurgersControl< Real >::Objective_BurgersControl ( Real alpha = 1.e-4,
int nx = 128 )
inline

Definition at line 397 of file burgers-control/example_02.hpp.

References alpha_, dx_, and nx_.

◆ Objective_BurgersControl() [3/9]

template<class Real>
Objective_BurgersControl< Real >::Objective_BurgersControl ( Real alpha = 1.e-4,
int nx = 128,
int nt = 100,
Real T = 1.0 )
inline

Definition at line 771 of file example_03.hpp.

References alpha_, dt_, dx_, nt_, nx_, and T_.

◆ Objective_BurgersControl() [4/9]

template<class Real>
Objective_BurgersControl< Real >::Objective_BurgersControl ( const ROL::Ptr< BurgersFEM< Real > > & fem,
const ROL::Ptr< ROL::Vector< Real > > & ud,
Real alpha = 1.e-4 )
inline

Definition at line 1056 of file example_04.hpp.

References alpha_, diff_, fem_, and ud_.

◆ Objective_BurgersControl() [5/9]

template<class Real>
Objective_BurgersControl< Real >::Objective_BurgersControl ( Real alpha = 1.e-4,
int nx = 128 )
inline

Definition at line 422 of file example_05.hpp.

References alpha_, dx_, and nx_.

◆ Objective_BurgersControl() [6/9]

template<class Real>
Objective_BurgersControl< Real >::Objective_BurgersControl ( const ROL::Ptr< BurgersFEM< Real > > & fem,
const ROL::Ptr< ROL::Vector< Real > > & ud,
Real alpha = 1.e-4 )
inline

Definition at line 1113 of file example_06.hpp.

References alpha_, diff_, fem_, and ud_.

◆ Objective_BurgersControl() [7/9]

template<class Real>
Objective_BurgersControl< Real >::Objective_BurgersControl ( const ROL::Ptr< BurgersFEM< Real > > & fem,
Real x = 0.0 )
inline

Definition at line 1121 of file example_07.hpp.

References fem_, indices_, and x_.

◆ Objective_BurgersControl() [8/9]

template<class Real>
Objective_BurgersControl< Real >::Objective_BurgersControl ( const ROL::Ptr< BurgersFEM< Real > > & fem,
const ROL::Ptr< ROL::Vector< Real > > & ud,
Real alpha = 1.e-4 )
inline

Definition at line 917 of file example_08.hpp.

References alpha_, diff_, fem_, and ud_.

◆ Objective_BurgersControl() [9/9]

template<class Real>
Objective_BurgersControl< Real >::Objective_BurgersControl ( Real alpha = 1.e-4,
int nx = 128 )
inline

Definition at line 424 of file example_10.hpp.

References alpha_, dx_, and nx_.

Member Function Documentation

◆ evaluate_target() [1/5]

template<class Real>
Real Objective_BurgersControl< Real >::evaluate_target ( Real x)
inlineprivate

Definition at line 30 of file burgers-control/example_01.hpp.

Referenced by gradient_1(), solve_adjoint(), value(), and value().

◆ compute_norm()

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

Definition at line 42 of file burgers-control/example_01.hpp.

References dot().

Referenced by run_newton().

◆ dot() [1/5]

template<class Real>
Real Objective_BurgersControl< Real >::dot ( const std::vector< Real > & x,
const std::vector< Real > & y )
inlineprivate

Definition at line 46 of file burgers-control/example_01.hpp.

Referenced by compute_norm(), value(), and value().

◆ update()

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

Definition at line 65 of file burgers-control/example_01.hpp.

Referenced by run_newton().

◆ scale()

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

Definition at line 71 of file burgers-control/example_01.hpp.

Referenced by solve_adjoint_sensitivity().

◆ apply_mass() [1/5]

template<class Real>
void Objective_BurgersControl< Real >::apply_mass ( std::vector< Real > & Mu,
const std::vector< Real > & u )
inlineprivate

◆ compute_residual()

template<class Real>
void Objective_BurgersControl< Real >::compute_residual ( std::vector< Real > & r,
const std::vector< Real > & u,
const std::vector< Real > & z,
const std::vector< Real > & param )
inlineprivate

Definition at line 93 of file burgers-control/example_01.hpp.

References nx_.

Referenced by run_newton().

◆ compute_pde_jacobian()

template<class Real>
void Objective_BurgersControl< Real >::compute_pde_jacobian ( std::vector< Real > & dl,
std::vector< Real > & d,
std::vector< Real > & du,
const std::vector< Real > & u,
const std::vector< Real > & param )
inlineprivate

◆ add_pde_hessian()

template<class Real>
void Objective_BurgersControl< Real >::add_pde_hessian ( std::vector< Real > & r,
const std::vector< Real > & u,
const std::vector< Real > & p,
const std::vector< Real > & s,
Real alpha = 1.0 )
inlineprivate

Definition at line 157 of file burgers-control/example_01.hpp.

References nx_.

Referenced by solve_adjoint_sensitivity().

◆ linear_solve()

template<class Real>
void Objective_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

◆ run_newton()

template<class Real>
void Objective_BurgersControl< Real >::run_newton ( std::vector< Real > & u,
const std::vector< Real > & z,
const std::vector< Real > & param )
inlineprivate

◆ solve_state()

template<class Real>
void Objective_BurgersControl< Real >::solve_state ( std::vector< Real > & u,
const std::vector< Real > & z,
const std::vector< Real > & param )
inline

Definition at line 241 of file burgers-control/example_01.hpp.

References run_newton().

Referenced by gradient(), hessVec(), main(), and value().

◆ solve_adjoint()

template<class Real>
void Objective_BurgersControl< Real >::solve_adjoint ( std::vector< Real > & p,
const std::vector< Real > & u,
const std::vector< Real > & param )
inline

◆ solve_state_sensitivity()

template<class Real>
void Objective_BurgersControl< Real >::solve_state_sensitivity ( std::vector< Real > & v,
const std::vector< Real > & u,
const std::vector< Real > & z,
const std::vector< Real > & param )
inline

Definition at line 267 of file burgers-control/example_01.hpp.

References compute_pde_jacobian(), and linear_solve().

Referenced by hessVec().

◆ solve_adjoint_sensitivity()

template<class Real>
void Objective_BurgersControl< Real >::solve_adjoint_sensitivity ( std::vector< Real > & q,
const std::vector< Real > & u,
const std::vector< Real > & p,
const std::vector< Real > & v,
const std::vector< Real > & z,
const std::vector< Real > & param )
inline

◆ value() [1/9]

template<class Real>
Real Objective_BurgersControl< Real >::value ( const ROL::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 306 of file burgers-control/example_01.hpp.

References dot(), evaluate_target(), and solve_state().

◆ gradient()

template<class Real>
void Objective_BurgersControl< Real >::gradient ( ROL::Vector< Real > & g,
const ROL::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.

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 338 of file burgers-control/example_01.hpp.

References solve_adjoint(), and solve_state().

◆ hessVec()

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

Apply Hessian approximation to vector.

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

Parameters
[out]hvis the the action of the 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 375 of file burgers-control/example_01.hpp.

References solve_adjoint(), solve_adjoint_sensitivity(), solve_state(), and solve_state_sensitivity().

◆ evaluate_target() [2/5]

template<class Real>
Real Objective_BurgersControl< Real >::evaluate_target ( Real x)
inlineprivate

Definition at line 347 of file burgers-control/example_02.hpp.

◆ dot() [2/5]

template<class Real>
Real Objective_BurgersControl< Real >::dot ( const std::vector< Real > & x,
const std::vector< Real > & y )
inlineprivate

Definition at line 359 of file burgers-control/example_02.hpp.

◆ apply_mass() [2/5]

template<class Real>
void Objective_BurgersControl< Real >::apply_mass ( std::vector< Real > & Mu,
const std::vector< Real > & u )
inlineprivate

Definition at line 376 of file burgers-control/example_02.hpp.

◆ value() [2/9]

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

Compute value.

Implements ROL::Objective_SimOpt< Real >.

Definition at line 401 of file burgers-control/example_02.hpp.

References dot(), and evaluate_target().

◆ gradient_1() [1/8]

template<class Real>
void Objective_BurgersControl< Real >::gradient_1 ( ROL::Vector< Real > & g,
const ROL::Vector< Real > & u,
const ROL::Vector< Real > & z,
Real & tol )
inlinevirtual

Compute gradient with respect to first component.

Reimplemented from ROL::Objective_SimOpt< Real >.

Definition at line 430 of file burgers-control/example_02.hpp.

References apply_mass(), and evaluate_target().

◆ gradient_2() [1/8]

template<class Real>
void Objective_BurgersControl< Real >::gradient_2 ( ROL::Vector< Real > & g,
const ROL::Vector< Real > & u,
const ROL::Vector< Real > & z,
Real & tol )
inlinevirtual

Compute gradient with respect to second component.

Reimplemented from ROL::Objective_SimOpt< Real >.

Definition at line 447 of file burgers-control/example_02.hpp.

◆ hessVec_11() [1/8]

template<class Real>
void Objective_BurgersControl< Real >::hessVec_11 ( ROL::Vector< Real > & hv,
const ROL::Vector< Real > & v,
const ROL::Vector< Real > & u,
const ROL::Vector< Real > & z,
Real & tol )
inlinevirtual

Apply Hessian approximation to vector.

Reimplemented from ROL::Objective_SimOpt< Real >.

Definition at line 470 of file burgers-control/example_02.hpp.

References apply_mass().

◆ hessVec_12() [1/8]

template<class Real>
void Objective_BurgersControl< Real >::hessVec_12 ( ROL::Vector< Real > & hv,
const ROL::Vector< Real > & v,
const ROL::Vector< Real > & u,
const ROL::Vector< Real > & z,
Real & tol )
inlinevirtual

Reimplemented from ROL::Objective_SimOpt< Real >.

Definition at line 481 of file burgers-control/example_02.hpp.

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

◆ hessVec_21() [1/8]

template<class Real>
void Objective_BurgersControl< Real >::hessVec_21 ( ROL::Vector< Real > & hv,
const ROL::Vector< Real > & v,
const ROL::Vector< Real > & u,
const ROL::Vector< Real > & z,
Real & tol )
inlinevirtual

Reimplemented from ROL::Objective_SimOpt< Real >.

Definition at line 486 of file burgers-control/example_02.hpp.

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

◆ hessVec_22() [1/8]

template<class Real>
void Objective_BurgersControl< Real >::hessVec_22 ( ROL::Vector< Real > & hv,
const ROL::Vector< Real > & v,
const ROL::Vector< Real > & u,
const ROL::Vector< Real > & z,
Real & tol )
inlinevirtual

Reimplemented from ROL::Objective_SimOpt< Real >.

Definition at line 491 of file burgers-control/example_02.hpp.

◆ evaluate_target() [3/5]

template<class Real>
Real Objective_BurgersControl< Real >::evaluate_target ( Real x)
inlineprivate

Definition at line 721 of file example_03.hpp.

◆ dot() [3/5]

template<class Real>
Real Objective_BurgersControl< Real >::dot ( const std::vector< Real > & x,
const std::vector< Real > & y )
inlineprivate

Definition at line 733 of file example_03.hpp.

References dx_, and nx_.

◆ apply_mass() [3/5]

template<class Real>
void Objective_BurgersControl< Real >::apply_mass ( std::vector< Real > & Mu,
const std::vector< Real > & u )
inlineprivate

Definition at line 750 of file example_03.hpp.

References dx_, and nx_.

◆ value() [3/9]

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

Compute value.

Implements ROL::Objective_SimOpt< Real >.

Definition at line 777 of file example_03.hpp.

References alpha_, dot(), dt_, dx_, evaluate_target(), nt_, and nx_.

◆ gradient_1() [2/8]

template<class Real>
void Objective_BurgersControl< Real >::gradient_1 ( ROL::Vector< Real > & g,
const ROL::Vector< Real > & u,
const ROL::Vector< Real > & z,
Real & tol )
inlinevirtual

Compute gradient with respect to first component.

Reimplemented from ROL::Objective_SimOpt< Real >.

Definition at line 807 of file example_03.hpp.

References apply_mass(), dt_, dx_, evaluate_target(), nt_, and nx_.

◆ gradient_2() [2/8]

template<class Real>
void Objective_BurgersControl< Real >::gradient_2 ( ROL::Vector< Real > & g,
const ROL::Vector< Real > & u,
const ROL::Vector< Real > & z,
Real & tol )
inlinevirtual

Compute gradient with respect to second component.

Reimplemented from ROL::Objective_SimOpt< Real >.

Definition at line 828 of file example_03.hpp.

References alpha_, apply_mass(), dt_, nt_, and nx_.

◆ hessVec_11() [2/8]

template<class Real>
void Objective_BurgersControl< Real >::hessVec_11 ( ROL::Vector< Real > & hv,
const ROL::Vector< Real > & v,
const ROL::Vector< Real > & u,
const ROL::Vector< Real > & z,
Real & tol )
inlinevirtual

Apply Hessian approximation to vector.

Reimplemented from ROL::Objective_SimOpt< Real >.

Definition at line 849 of file example_03.hpp.

References apply_mass(), dt_, nt_, and nx_.

◆ hessVec_12() [2/8]

template<class Real>
void Objective_BurgersControl< Real >::hessVec_12 ( ROL::Vector< Real > & hv,
const ROL::Vector< Real > & v,
const ROL::Vector< Real > & u,
const ROL::Vector< Real > & z,
Real & tol )
inlinevirtual

Reimplemented from ROL::Objective_SimOpt< Real >.

Definition at line 871 of file example_03.hpp.

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

◆ hessVec_21() [2/8]

template<class Real>
void Objective_BurgersControl< Real >::hessVec_21 ( ROL::Vector< Real > & hv,
const ROL::Vector< Real > & v,
const ROL::Vector< Real > & u,
const ROL::Vector< Real > & z,
Real & tol )
inlinevirtual

Reimplemented from ROL::Objective_SimOpt< Real >.

Definition at line 876 of file example_03.hpp.

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

◆ hessVec_22() [2/8]

template<class Real>
void Objective_BurgersControl< Real >::hessVec_22 ( ROL::Vector< Real > & hv,
const ROL::Vector< Real > & v,
const ROL::Vector< Real > & u,
const ROL::Vector< Real > & z,
Real & tol )
inlinevirtual

Reimplemented from ROL::Objective_SimOpt< Real >.

Definition at line 881 of file example_03.hpp.

References alpha_, apply_mass(), dt_, nt_, and nx_.

◆ value() [4/9]

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

Compute value.

Implements ROL::Objective_SimOpt< Real >.

Definition at line 1062 of file example_04.hpp.

References alpha_, fem_, and L2VectorPrimal< Real >::getVector().

◆ gradient_1() [3/8]

template<class Real>
void Objective_BurgersControl< Real >::gradient_1 ( ROL::Vector< Real > & g,
const ROL::Vector< Real > & u,
const ROL::Vector< Real > & z,
Real & tol )
inlinevirtual

Compute gradient with respect to first component.

Reimplemented from ROL::Objective_SimOpt< Real >.

Definition at line 1077 of file example_04.hpp.

References fem_, and L2VectorPrimal< Real >::getVector().

◆ gradient_2() [3/8]

template<class Real>
void Objective_BurgersControl< Real >::gradient_2 ( ROL::Vector< Real > & g,
const ROL::Vector< Real > & u,
const ROL::Vector< Real > & z,
Real & tol )
inlinevirtual

Compute gradient with respect to second component.

Reimplemented from ROL::Objective_SimOpt< Real >.

Definition at line 1092 of file example_04.hpp.

References alpha_, and fem_.

◆ hessVec_11() [3/8]

template<class Real>
void Objective_BurgersControl< Real >::hessVec_11 ( ROL::Vector< Real > & hv,
const ROL::Vector< Real > & v,
const ROL::Vector< Real > & u,
const ROL::Vector< Real > & z,
Real & tol )
inlinevirtual

Apply Hessian approximation to vector.

Reimplemented from ROL::Objective_SimOpt< Real >.

Definition at line 1104 of file example_04.hpp.

References fem_.

◆ hessVec_12() [3/8]

template<class Real>
void Objective_BurgersControl< Real >::hessVec_12 ( ROL::Vector< Real > & hv,
const ROL::Vector< Real > & v,
const ROL::Vector< Real > & u,
const ROL::Vector< Real > & z,
Real & tol )
inlinevirtual

Reimplemented from ROL::Objective_SimOpt< Real >.

Definition at line 1114 of file example_04.hpp.

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

◆ hessVec_21() [3/8]

template<class Real>
void Objective_BurgersControl< Real >::hessVec_21 ( ROL::Vector< Real > & hv,
const ROL::Vector< Real > & v,
const ROL::Vector< Real > & u,
const ROL::Vector< Real > & z,
Real & tol )
inlinevirtual

Reimplemented from ROL::Objective_SimOpt< Real >.

Definition at line 1119 of file example_04.hpp.

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

◆ hessVec_22() [3/8]

template<class Real>
void Objective_BurgersControl< Real >::hessVec_22 ( ROL::Vector< Real > & hv,
const ROL::Vector< Real > & v,
const ROL::Vector< Real > & u,
const ROL::Vector< Real > & z,
Real & tol )
inlinevirtual

Reimplemented from ROL::Objective_SimOpt< Real >.

Definition at line 1124 of file example_04.hpp.

References alpha_, and fem_.

◆ evaluate_target() [4/5]

template<class Real>
Real Objective_BurgersControl< Real >::evaluate_target ( Real x)
inlineprivate

Definition at line 372 of file example_05.hpp.

◆ dot() [4/5]

template<class Real>
Real Objective_BurgersControl< Real >::dot ( const std::vector< Real > & x,
const std::vector< Real > & y )
inlineprivate

Definition at line 384 of file example_05.hpp.

References dx_, and nx_.

◆ apply_mass() [4/5]

template<class Real>
void Objective_BurgersControl< Real >::apply_mass ( std::vector< Real > & Mu,
const std::vector< Real > & u )
inlineprivate

Definition at line 401 of file example_05.hpp.

References dx_, and nx_.

◆ value() [5/9]

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

Compute value.

Implements ROL::Objective_SimOpt< Real >.

Definition at line 428 of file example_05.hpp.

References alpha_, dot(), dx_, evaluate_target(), and nx_.

◆ gradient_1() [4/8]

template<class Real>
void Objective_BurgersControl< Real >::gradient_1 ( ROL::Vector< Real > & g,
const ROL::Vector< Real > & u,
const ROL::Vector< Real > & z,
Real & tol )
inlinevirtual

Compute gradient with respect to first component.

Reimplemented from ROL::Objective_SimOpt< Real >.

Definition at line 457 of file example_05.hpp.

References apply_mass(), dx_, evaluate_target(), and nx_.

◆ gradient_2() [4/8]

template<class Real>
void Objective_BurgersControl< Real >::gradient_2 ( ROL::Vector< Real > & g,
const ROL::Vector< Real > & u,
const ROL::Vector< Real > & z,
Real & tol )
inlinevirtual

Compute gradient with respect to second component.

Reimplemented from ROL::Objective_SimOpt< Real >.

Definition at line 474 of file example_05.hpp.

References alpha_, dx_, and nx_.

◆ hessVec_11() [4/8]

template<class Real>
void Objective_BurgersControl< Real >::hessVec_11 ( ROL::Vector< Real > & hv,
const ROL::Vector< Real > & v,
const ROL::Vector< Real > & u,
const ROL::Vector< Real > & z,
Real & tol )
inlinevirtual

Apply Hessian approximation to vector.

Reimplemented from ROL::Objective_SimOpt< Real >.

Definition at line 497 of file example_05.hpp.

References apply_mass().

◆ hessVec_12() [4/8]

template<class Real>
void Objective_BurgersControl< Real >::hessVec_12 ( ROL::Vector< Real > & hv,
const ROL::Vector< Real > & v,
const ROL::Vector< Real > & u,
const ROL::Vector< Real > & z,
Real & tol )
inlinevirtual

Reimplemented from ROL::Objective_SimOpt< Real >.

Definition at line 508 of file example_05.hpp.

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

◆ hessVec_21() [4/8]

template<class Real>
void Objective_BurgersControl< Real >::hessVec_21 ( ROL::Vector< Real > & hv,
const ROL::Vector< Real > & v,
const ROL::Vector< Real > & u,
const ROL::Vector< Real > & z,
Real & tol )
inlinevirtual

Reimplemented from ROL::Objective_SimOpt< Real >.

Definition at line 513 of file example_05.hpp.

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

◆ hessVec_22() [4/8]

template<class Real>
void Objective_BurgersControl< Real >::hessVec_22 ( ROL::Vector< Real > & hv,
const ROL::Vector< Real > & v,
const ROL::Vector< Real > & u,
const ROL::Vector< Real > & z,
Real & tol )
inlinevirtual

Reimplemented from ROL::Objective_SimOpt< Real >.

Definition at line 518 of file example_05.hpp.

References alpha_, dx_, and nx_.

◆ value() [6/9]

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

Compute value.

Implements ROL::Objective_SimOpt< Real >.

Definition at line 1121 of file example_06.hpp.

References alpha_, fem_, and L2VectorPrimal< Real >::getVector().

◆ gradient_1() [5/8]

template<class Real>
void Objective_BurgersControl< Real >::gradient_1 ( ROL::Vector< Real > & g,
const ROL::Vector< Real > & u,
const ROL::Vector< Real > & z,
Real & tol )
inlinevirtual

Compute gradient with respect to first component.

Reimplemented from ROL::Objective_SimOpt< Real >.

Definition at line 1136 of file example_06.hpp.

References fem_, and L2VectorPrimal< Real >::getVector().

◆ gradient_2() [5/8]

template<class Real>
void Objective_BurgersControl< Real >::gradient_2 ( ROL::Vector< Real > & g,
const ROL::Vector< Real > & u,
const ROL::Vector< Real > & z,
Real & tol )
inlinevirtual

Compute gradient with respect to second component.

Reimplemented from ROL::Objective_SimOpt< Real >.

Definition at line 1151 of file example_06.hpp.

References alpha_, and fem_.

◆ hessVec_11() [5/8]

template<class Real>
void Objective_BurgersControl< Real >::hessVec_11 ( ROL::Vector< Real > & hv,
const ROL::Vector< Real > & v,
const ROL::Vector< Real > & u,
const ROL::Vector< Real > & z,
Real & tol )
inlinevirtual

Apply Hessian approximation to vector.

Reimplemented from ROL::Objective_SimOpt< Real >.

Definition at line 1163 of file example_06.hpp.

References fem_.

◆ hessVec_12() [5/8]

template<class Real>
void Objective_BurgersControl< Real >::hessVec_12 ( ROL::Vector< Real > & hv,
const ROL::Vector< Real > & v,
const ROL::Vector< Real > & u,
const ROL::Vector< Real > & z,
Real & tol )
inlinevirtual

Reimplemented from ROL::Objective_SimOpt< Real >.

Definition at line 1173 of file example_06.hpp.

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

◆ hessVec_21() [5/8]

template<class Real>
void Objective_BurgersControl< Real >::hessVec_21 ( ROL::Vector< Real > & hv,
const ROL::Vector< Real > & v,
const ROL::Vector< Real > & u,
const ROL::Vector< Real > & z,
Real & tol )
inlinevirtual

Reimplemented from ROL::Objective_SimOpt< Real >.

Definition at line 1178 of file example_06.hpp.

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

◆ hessVec_22() [5/8]

template<class Real>
void Objective_BurgersControl< Real >::hessVec_22 ( ROL::Vector< Real > & hv,
const ROL::Vector< Real > & v,
const ROL::Vector< Real > & u,
const ROL::Vector< Real > & z,
Real & tol )
inlinevirtual

Reimplemented from ROL::Objective_SimOpt< Real >.

Definition at line 1183 of file example_06.hpp.

References alpha_, and fem_.

◆ value() [7/9]

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

Compute value.

Implements ROL::Objective_SimOpt< Real >.

Definition at line 1132 of file example_07.hpp.

References fem_, indices_, and x_.

◆ gradient_1() [6/8]

template<class Real>
void Objective_BurgersControl< Real >::gradient_1 ( ROL::Vector< Real > & g,
const ROL::Vector< Real > & u,
const ROL::Vector< Real > & z,
Real & tol )
inlinevirtual

Compute gradient with respect to first component.

Reimplemented from ROL::Objective_SimOpt< Real >.

Definition at line 1152 of file example_07.hpp.

References fem_, indices_, x_, and ROL::Vector< Real >::zero().

◆ gradient_2() [6/8]

template<class Real>
void Objective_BurgersControl< Real >::gradient_2 ( ROL::Vector< Real > & g,
const ROL::Vector< Real > & u,
const ROL::Vector< Real > & z,
Real & tol )
inlinevirtual

Compute gradient with respect to second component.

Reimplemented from ROL::Objective_SimOpt< Real >.

Definition at line 1177 of file example_07.hpp.

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

◆ hessVec_11() [6/8]

template<class Real>
void Objective_BurgersControl< Real >::hessVec_11 ( ROL::Vector< Real > & hv,
const ROL::Vector< Real > & v,
const ROL::Vector< Real > & u,
const ROL::Vector< Real > & z,
Real & tol )
inlinevirtual

Apply Hessian approximation to vector.

Reimplemented from ROL::Objective_SimOpt< Real >.

Definition at line 1181 of file example_07.hpp.

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

◆ hessVec_12() [6/8]

template<class Real>
void Objective_BurgersControl< Real >::hessVec_12 ( ROL::Vector< Real > & hv,
const ROL::Vector< Real > & v,
const ROL::Vector< Real > & u,
const ROL::Vector< Real > & z,
Real & tol )
inlinevirtual

Reimplemented from ROL::Objective_SimOpt< Real >.

Definition at line 1199 of file example_07.hpp.

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

◆ hessVec_21() [6/8]

template<class Real>
void Objective_BurgersControl< Real >::hessVec_21 ( ROL::Vector< Real > & hv,
const ROL::Vector< Real > & v,
const ROL::Vector< Real > & u,
const ROL::Vector< Real > & z,
Real & tol )
inlinevirtual

Reimplemented from ROL::Objective_SimOpt< Real >.

Definition at line 1204 of file example_07.hpp.

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

◆ hessVec_22() [6/8]

template<class Real>
void Objective_BurgersControl< Real >::hessVec_22 ( ROL::Vector< Real > & hv,
const ROL::Vector< Real > & v,
const ROL::Vector< Real > & u,
const ROL::Vector< Real > & z,
Real & tol )
inlinevirtual

Reimplemented from ROL::Objective_SimOpt< Real >.

Definition at line 1209 of file example_07.hpp.

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

◆ value() [8/9]

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

Compute value.

Implements ROL::Objective_SimOpt< Real >.

Definition at line 925 of file example_08.hpp.

References alpha_, fem_, and L2VectorPrimal< Real >::getVector().

◆ gradient_1() [7/8]

template<class Real>
void Objective_BurgersControl< Real >::gradient_1 ( ROL::Vector< Real > & g,
const ROL::Vector< Real > & u,
const ROL::Vector< Real > & z,
Real & tol )
inlinevirtual

Compute gradient with respect to first component.

Reimplemented from ROL::Objective_SimOpt< Real >.

Definition at line 940 of file example_08.hpp.

References fem_, and L2VectorPrimal< Real >::getVector().

◆ gradient_2() [7/8]

template<class Real>
void Objective_BurgersControl< Real >::gradient_2 ( ROL::Vector< Real > & g,
const ROL::Vector< Real > & u,
const ROL::Vector< Real > & z,
Real & tol )
inlinevirtual

Compute gradient with respect to second component.

Reimplemented from ROL::Objective_SimOpt< Real >.

Definition at line 955 of file example_08.hpp.

References alpha_, and fem_.

◆ hessVec_11() [7/8]

template<class Real>
void Objective_BurgersControl< Real >::hessVec_11 ( ROL::Vector< Real > & hv,
const ROL::Vector< Real > & v,
const ROL::Vector< Real > & u,
const ROL::Vector< Real > & z,
Real & tol )
inlinevirtual

Apply Hessian approximation to vector.

Reimplemented from ROL::Objective_SimOpt< Real >.

Definition at line 967 of file example_08.hpp.

References fem_.

◆ hessVec_12() [7/8]

template<class Real>
void Objective_BurgersControl< Real >::hessVec_12 ( ROL::Vector< Real > & hv,
const ROL::Vector< Real > & v,
const ROL::Vector< Real > & u,
const ROL::Vector< Real > & z,
Real & tol )
inlinevirtual

Reimplemented from ROL::Objective_SimOpt< Real >.

Definition at line 977 of file example_08.hpp.

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

◆ hessVec_21() [7/8]

template<class Real>
void Objective_BurgersControl< Real >::hessVec_21 ( ROL::Vector< Real > & hv,
const ROL::Vector< Real > & v,
const ROL::Vector< Real > & u,
const ROL::Vector< Real > & z,
Real & tol )
inlinevirtual

Reimplemented from ROL::Objective_SimOpt< Real >.

Definition at line 982 of file example_08.hpp.

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

◆ hessVec_22() [7/8]

template<class Real>
void Objective_BurgersControl< Real >::hessVec_22 ( ROL::Vector< Real > & hv,
const ROL::Vector< Real > & v,
const ROL::Vector< Real > & u,
const ROL::Vector< Real > & z,
Real & tol )
inlinevirtual

Reimplemented from ROL::Objective_SimOpt< Real >.

Definition at line 987 of file example_08.hpp.

References alpha_, and fem_.

◆ evaluate_target() [5/5]

template<class Real>
Real Objective_BurgersControl< Real >::evaluate_target ( Real x)
inlineprivate

Definition at line 374 of file example_10.hpp.

◆ dot() [5/5]

template<class Real>
Real Objective_BurgersControl< Real >::dot ( const std::vector< Real > & x,
const std::vector< Real > & y )
inlineprivate

Definition at line 386 of file example_10.hpp.

References dx_, and nx_.

◆ apply_mass() [5/5]

template<class Real>
void Objective_BurgersControl< Real >::apply_mass ( std::vector< Real > & Mu,
const std::vector< Real > & u )
inlineprivate

Definition at line 403 of file example_10.hpp.

References dx_, and nx_.

◆ value() [9/9]

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

Compute value.

Implements ROL::Objective_SimOpt< Real >.

Definition at line 430 of file example_10.hpp.

References alpha_, dot(), dx_, evaluate_target(), and nx_.

◆ gradient_1() [8/8]

template<class Real>
void Objective_BurgersControl< Real >::gradient_1 ( ROL::Vector< Real > & g,
const ROL::Vector< Real > & u,
const ROL::Vector< Real > & z,
Real & tol )
inlinevirtual

Compute gradient with respect to first component.

Reimplemented from ROL::Objective_SimOpt< Real >.

Definition at line 459 of file example_10.hpp.

References apply_mass(), dx_, evaluate_target(), and nx_.

◆ gradient_2() [8/8]

template<class Real>
void Objective_BurgersControl< Real >::gradient_2 ( ROL::Vector< Real > & g,
const ROL::Vector< Real > & u,
const ROL::Vector< Real > & z,
Real & tol )
inlinevirtual

Compute gradient with respect to second component.

Reimplemented from ROL::Objective_SimOpt< Real >.

Definition at line 476 of file example_10.hpp.

References alpha_, dx_, and nx_.

◆ hessVec_11() [8/8]

template<class Real>
void Objective_BurgersControl< Real >::hessVec_11 ( ROL::Vector< Real > & hv,
const ROL::Vector< Real > & v,
const ROL::Vector< Real > & u,
const ROL::Vector< Real > & z,
Real & tol )
inlinevirtual

Apply Hessian approximation to vector.

Reimplemented from ROL::Objective_SimOpt< Real >.

Definition at line 499 of file example_10.hpp.

References apply_mass().

◆ hessVec_12() [8/8]

template<class Real>
void Objective_BurgersControl< Real >::hessVec_12 ( ROL::Vector< Real > & hv,
const ROL::Vector< Real > & v,
const ROL::Vector< Real > & u,
const ROL::Vector< Real > & z,
Real & tol )
inlinevirtual

Reimplemented from ROL::Objective_SimOpt< Real >.

Definition at line 510 of file example_10.hpp.

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

◆ hessVec_21() [8/8]

template<class Real>
void Objective_BurgersControl< Real >::hessVec_21 ( ROL::Vector< Real > & hv,
const ROL::Vector< Real > & v,
const ROL::Vector< Real > & u,
const ROL::Vector< Real > & z,
Real & tol )
inlinevirtual

Reimplemented from ROL::Objective_SimOpt< Real >.

Definition at line 515 of file example_10.hpp.

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

◆ hessVec_22() [8/8]

template<class Real>
void Objective_BurgersControl< Real >::hessVec_22 ( ROL::Vector< Real > & hv,
const ROL::Vector< Real > & v,
const ROL::Vector< Real > & u,
const ROL::Vector< Real > & z,
Real & tol )
inlinevirtual

Reimplemented from ROL::Objective_SimOpt< Real >.

Definition at line 520 of file example_10.hpp.

References alpha_, dx_, and nx_.

Member Data Documentation

◆ alpha_

template<class Real>
Real Objective_BurgersControl< Real >::alpha_
private

◆ nx_ [1/2]

◆ dx_

template<class Real>
Real Objective_BurgersControl< Real >::dx_
private

◆ nx_ [2/2]

template<class Real>
unsigned Objective_BurgersControl< Real >::nx_
private

Definition at line 712 of file example_03.hpp.

◆ nt_

template<class Real>
unsigned Objective_BurgersControl< Real >::nt_
private

◆ dt_

template<class Real>
Real Objective_BurgersControl< Real >::dt_
private

◆ T_

template<class Real>
Real Objective_BurgersControl< Real >::T_
private

Definition at line 716 of file example_03.hpp.

Referenced by Objective_BurgersControl().

◆ fem_

template<class Real>
ROL::Ptr< BurgersFEM< Real > > Objective_BurgersControl< Real >::fem_
private

◆ ud_

template<class Real>
ROL::Ptr< ROL::Vector< Real > > Objective_BurgersControl< Real >::ud_
private

Definition at line 1052 of file example_04.hpp.

Referenced by Objective_BurgersControl().

◆ diff_

template<class Real>
ROL::Ptr< ROL::Vector< Real > > Objective_BurgersControl< Real >::diff_
private

Definition at line 1053 of file example_04.hpp.

Referenced by Objective_BurgersControl().

◆ x_

template<class Real>
Real Objective_BurgersControl< Real >::x_
private

Definition at line 1117 of file example_07.hpp.

Referenced by gradient_1(), Objective_BurgersControl(), and value().

◆ indices_

template<class Real>
std::vector<int> Objective_BurgersControl< Real >::indices_
private

Definition at line 1118 of file example_07.hpp.

Referenced by gradient_1(), Objective_BurgersControl(), and value().


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