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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 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 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 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)
 Update objective function.
 
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)
 Update objective function.
 
Real value (const Vector< Real > &x, Real &tol)
 Compute value.
 
void gradient (Vector< Real > &g, const Vector< Real > &x, Real &tol)
 Compute gradient.
 
void hessVec (Vector< Real > &hv, const Vector< Real > &v, const Vector< Real > &x, Real &tol)
 Apply Hessian approximation to vector.
 
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)
 

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
 

Detailed Description

template<class Real>
class Objective_BurgersControl< Real >

Definition at line 54 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 1078 of file example_04.hpp.

◆ DualStateVector [1/4]

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

Definition at line 1079 of file example_04.hpp.

◆ PrimalControlVector [1/4]

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

Definition at line 1081 of file example_04.hpp.

◆ DualControlVector [1/4]

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

Definition at line 1082 of file example_04.hpp.

◆ PrimalStateVector [2/4]

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

Definition at line 1135 of file example_06.hpp.

◆ DualStateVector [2/4]

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

Definition at line 1136 of file example_06.hpp.

◆ PrimalControlVector [2/4]

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

Definition at line 1138 of file example_06.hpp.

◆ DualControlVector [2/4]

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

Definition at line 1139 of file example_06.hpp.

◆ PrimalStateVector [3/4]

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

Definition at line 1141 of file example_07.hpp.

◆ DualStateVector [3/4]

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

Definition at line 1142 of file example_07.hpp.

◆ PrimalControlVector [3/4]

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

Definition at line 1144 of file example_07.hpp.

◆ DualControlVector [3/4]

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

Definition at line 1145 of file example_07.hpp.

◆ uint

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

Definition at line 1147 of file example_07.hpp.

◆ PrimalStateVector [4/4]

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

Definition at line 939 of file example_08.hpp.

◆ DualStateVector [4/4]

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

Definition at line 940 of file example_08.hpp.

◆ PrimalControlVector [4/4]

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

Definition at line 942 of file example_08.hpp.

◆ DualControlVector [4/4]

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

Definition at line 943 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

◆ Objective_BurgersControl() [2/9]

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

◆ 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

◆ 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

◆ Objective_BurgersControl() [5/9]

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

Definition at line 456 of file example_05.hpp.

References Objective_BurgersControl< Real >::dx_.

◆ 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

◆ Objective_BurgersControl() [7/9]

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

◆ 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

◆ Objective_BurgersControl() [9/9]

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

Definition at line 458 of file example_10.hpp.

References Objective_BurgersControl< Real >::dx_.

Member Function Documentation

◆ evaluate_target() [1/5]

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

◆ compute_norm()

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

◆ dot() [1/5]

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

◆ update()

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

◆ scale()

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

◆ 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

◆ 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

◆ 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

◆ 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

◆ 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 340 of file burgers-control/example_01.hpp.

References Objective_BurgersControl< Real >::dot(), Objective_BurgersControl< Real >::evaluate_target(), Objective_BurgersControl< Real >::nx_, and Objective_BurgersControl< Real >::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 372 of file burgers-control/example_01.hpp.

References Objective_BurgersControl< Real >::solve_adjoint(), and Objective_BurgersControl< Real >::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 409 of file burgers-control/example_01.hpp.

References Objective_BurgersControl< Real >::solve_adjoint(), Objective_BurgersControl< Real >::solve_adjoint_sensitivity(), Objective_BurgersControl< Real >::solve_state(), and Objective_BurgersControl< Real >::solve_state_sensitivity().

◆ evaluate_target() [2/5]

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

Definition at line 381 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

◆ apply_mass() [2/5]

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

◆ value() [2/9]

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

◆ 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

◆ 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 481 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 504 of file burgers-control/example_02.hpp.

References Objective_BurgersControl< Real >::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 515 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 520 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 525 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 755 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

◆ apply_mass() [3/5]

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

◆ value() [3/9]

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

◆ 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

◆ 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

◆ 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

◆ 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 905 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 910 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

◆ value() [4/9]

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

◆ 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 1111 of file example_04.hpp.

References Objective_BurgersControl< Real >::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 1126 of file example_04.hpp.

References Objective_BurgersControl< Real >::alpha_, and Objective_BurgersControl< Real >::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 1138 of file example_04.hpp.

References Objective_BurgersControl< Real >::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 1148 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 1153 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

◆ evaluate_target() [4/5]

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

Definition at line 406 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

◆ apply_mass() [4/5]

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

◆ value() [5/9]

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

◆ 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

◆ 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 508 of file example_05.hpp.

References Objective_BurgersControl< Real >::alpha_, Objective_BurgersControl< Real >::dx_, and Objective_BurgersControl< Real >::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 531 of file example_05.hpp.

References Objective_BurgersControl< Real >::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 542 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 547 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

◆ value() [6/9]

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

◆ 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 1170 of file example_06.hpp.

References Objective_BurgersControl< Real >::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 1185 of file example_06.hpp.

References Objective_BurgersControl< Real >::alpha_, and Objective_BurgersControl< Real >::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 1197 of file example_06.hpp.

References Objective_BurgersControl< Real >::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 1207 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 1212 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

◆ value() [7/9]

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

◆ 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

◆ 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 1211 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 1215 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 1233 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 1238 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 1243 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

◆ 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 974 of file example_08.hpp.

References Objective_BurgersControl< Real >::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 989 of file example_08.hpp.

References Objective_BurgersControl< Real >::alpha_, and Objective_BurgersControl< Real >::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 1001 of file example_08.hpp.

References Objective_BurgersControl< Real >::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 1011 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 1016 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

◆ evaluate_target() [5/5]

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

Definition at line 408 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

◆ apply_mass() [5/5]

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

◆ value() [9/9]

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

◆ 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

◆ 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 510 of file example_10.hpp.

References Objective_BurgersControl< Real >::alpha_, Objective_BurgersControl< Real >::dx_, and Objective_BurgersControl< Real >::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 533 of file example_10.hpp.

References Objective_BurgersControl< Real >::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 544 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 549 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

Member Data Documentation

◆ alpha_

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

◆ nx_ [1/2]

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

◆ 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 746 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 750 of file example_03.hpp.

◆ 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

◆ diff_

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

◆ x_

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

◆ indices_

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

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