BurgersFEM< Real > Class Template Reference

#include <test_04.hpp>

Public Member Functions
	BurgersFEM (int nx=128, Real nl=1.0, Real cH1=1.0, Real cL2=1.0)
void	set_problem_data (const Real nu, const Real f, const Real u0, const Real u1)
int	num_dof (void) const
Real	mesh_spacing (void) const
Real	compute_L2_dot (const std::vector< Real > &x, const std::vector< Real > &y) const
Real	compute_L2_norm (const std::vector< Real > &r) const
void	apply_mass (std::vector< Real > &Mu, const std::vector< Real > &u) const
void	apply_inverse_mass (std::vector< Real > &Mu, const std::vector< Real > &u) const
void	test_inverse_mass (std::ostream &outStream=std::cout)
Real	compute_H1_dot (const std::vector< Real > &x, const std::vector< Real > &y) const
Real	compute_H1_norm (const std::vector< Real > &r) const
void	apply_H1 (std::vector< Real > &Mu, const std::vector< Real > &u) const
void	apply_inverse_H1 (std::vector< Real > &Mu, const std::vector< Real > &u) const
void	test_inverse_H1 (std::ostream &outStream=std::cout)
void	compute_residual (std::vector< Real > &r, const std::vector< Real > &u, const std::vector< Real > &z) const
void	compute_pde_jacobian (std::vector< Real > &dl, std::vector< Real > &d, std::vector< Real > &du, const std::vector< Real > &u) const
void	apply_pde_jacobian (std::vector< Real > &jv, const std::vector< Real > &v, const std::vector< Real > &u, const std::vector< Real > &z) const
void	apply_inverse_pde_jacobian (std::vector< Real > &ijv, const std::vector< Real > &v, const std::vector< Real > &u, const std::vector< Real > &z) const
void	apply_adjoint_pde_jacobian (std::vector< Real > &ajv, const std::vector< Real > &v, const std::vector< Real > &u, const std::vector< Real > &z) const
void	apply_inverse_adjoint_pde_jacobian (std::vector< Real > &iajv, const std::vector< Real > &v, const std::vector< Real > &u, const std::vector< Real > &z) const
void	apply_control_jacobian (std::vector< Real > &jv, const std::vector< Real > &v, const std::vector< Real > &u, const std::vector< Real > &z) const
void	apply_adjoint_control_jacobian (std::vector< Real > &jv, const std::vector< Real > &v, const std::vector< Real > &u, const std::vector< Real > &z) const
void	apply_adjoint_pde_hessian (std::vector< Real > &ahwv, const std::vector< Real > &w, const std::vector< Real > &v, const std::vector< Real > &u, const std::vector< Real > &z) const
void	apply_adjoint_pde_control_hessian (std::vector< Real > &ahwv, const std::vector< Real > &w, const std::vector< Real > &v, const std::vector< Real > &u, const std::vector< Real > &z)
void	apply_adjoint_control_pde_hessian (std::vector< Real > &ahwv, const std::vector< Real > &w, const std::vector< Real > &v, const std::vector< Real > &u, const std::vector< Real > &z)
void	apply_adjoint_control_hessian (std::vector< Real > &ahwv, const std::vector< Real > &w, const std::vector< Real > &v, const std::vector< Real > &u, const std::vector< Real > &z)
	BurgersFEM (int nx=128, Real nu=1.e-2, Real nl=1.0, Real u0=1.0, Real u1=0.0, Real f=0.0, Real cH1=1.0, Real cL2=1.0)
int	num_dof (void) const
Real	mesh_spacing (void) const
Real	compute_L2_dot (const std::vector< Real > &x, const std::vector< Real > &y) const
Real	compute_L2_norm (const std::vector< Real > &r) const
void	apply_mass (std::vector< Real > &Mu, const std::vector< Real > &u) const
void	apply_inverse_mass (std::vector< Real > &Mu, const std::vector< Real > &u) const
void	test_inverse_mass (std::ostream &outStream=std::cout)
Real	compute_H1_dot (const std::vector< Real > &x, const std::vector< Real > &y) const
Real	compute_H1_norm (const std::vector< Real > &r) const
void	apply_H1 (std::vector< Real > &Mu, const std::vector< Real > &u) const
void	apply_inverse_H1 (std::vector< Real > &Mu, const std::vector< Real > &u) const
void	test_inverse_H1 (std::ostream &outStream=std::cout)
void	compute_residual (std::vector< Real > &r, const std::vector< Real > &u, const std::vector< Real > &z) const
void	compute_pde_jacobian (std::vector< Real > &dl, std::vector< Real > &d, std::vector< Real > &du, const std::vector< Real > &u) const
void	apply_pde_jacobian (std::vector< Real > &jv, const std::vector< Real > &v, const std::vector< Real > &u, const std::vector< Real > &z) const
void	apply_inverse_pde_jacobian (std::vector< Real > &ijv, const std::vector< Real > &v, const std::vector< Real > &u, const std::vector< Real > &z) const
void	apply_adjoint_pde_jacobian (std::vector< Real > &ajv, const std::vector< Real > &v, const std::vector< Real > &u, const std::vector< Real > &z) const
void	apply_inverse_adjoint_pde_jacobian (std::vector< Real > &iajv, const std::vector< Real > &v, const std::vector< Real > &u, const std::vector< Real > &z) const
void	apply_control_jacobian (std::vector< Real > &jv, const std::vector< Real > &v, const std::vector< Real > &u, const std::vector< Real > &z) const
void	apply_adjoint_control_jacobian (std::vector< Real > &jv, const std::vector< Real > &v, const std::vector< Real > &u, const std::vector< Real > &z) const
void	apply_adjoint_pde_hessian (std::vector< Real > &ahwv, const std::vector< Real > &w, const std::vector< Real > &v, const std::vector< Real > &u, const std::vector< Real > &z) const
void	apply_adjoint_pde_control_hessian (std::vector< Real > &ahwv, const std::vector< Real > &w, const std::vector< Real > &v, const std::vector< Real > &u, const std::vector< Real > &z)
void	apply_adjoint_control_pde_hessian (std::vector< Real > &ahwv, const std::vector< Real > &w, const std::vector< Real > &v, const std::vector< Real > &u, const std::vector< Real > &z)
void	apply_adjoint_control_hessian (std::vector< Real > &ahwv, const std::vector< Real > &w, const std::vector< Real > &v, const std::vector< Real > &u, const std::vector< Real > &z)
	BurgersFEM (int nx=128, Real nl=1.0, Real cH1=1.0, Real cL2=1.0)
void	set_problem_data (const Real nu, const Real f, const Real u0, const Real u1)
int	num_dof (void) const
Real	mesh_spacing (void) const
Real	compute_L2_dot (const std::vector< Real > &x, const std::vector< Real > &y) const
Real	compute_L2_norm (const std::vector< Real > &r) const
void	apply_mass (std::vector< Real > &Mu, const std::vector< Real > &u) const
void	apply_inverse_mass (std::vector< Real > &Mu, const std::vector< Real > &u) const
void	test_inverse_mass (std::ostream &outStream=std::cout)
Real	compute_H1_dot (const std::vector< Real > &x, const std::vector< Real > &y) const
Real	compute_H1_norm (const std::vector< Real > &r) const
void	apply_H1 (std::vector< Real > &Mu, const std::vector< Real > &u) const
void	apply_inverse_H1 (std::vector< Real > &Mu, const std::vector< Real > &u) const
void	test_inverse_H1 (std::ostream &outStream=std::cout)
void	compute_residual (std::vector< Real > &r, const std::vector< Real > &u, const std::vector< Real > &z) const
void	compute_pde_jacobian (std::vector< Real > &dl, std::vector< Real > &d, std::vector< Real > &du, const std::vector< Real > &u) const
void	apply_pde_jacobian (std::vector< Real > &jv, const std::vector< Real > &v, const std::vector< Real > &u, const std::vector< Real > &z) const
void	apply_inverse_pde_jacobian (std::vector< Real > &ijv, const std::vector< Real > &v, const std::vector< Real > &u, const std::vector< Real > &z) const
void	apply_adjoint_pde_jacobian (std::vector< Real > &ajv, const std::vector< Real > &v, const std::vector< Real > &u, const std::vector< Real > &z) const
void	apply_inverse_adjoint_pde_jacobian (std::vector< Real > &iajv, const std::vector< Real > &v, const std::vector< Real > &u, const std::vector< Real > &z) const
void	apply_control_jacobian (std::vector< Real > &jv, const std::vector< Real > &v, const std::vector< Real > &u, const std::vector< Real > &z) const
void	apply_adjoint_control_jacobian (std::vector< Real > &jv, const std::vector< Real > &v, const std::vector< Real > &u, const std::vector< Real > &z) const
void	apply_adjoint_pde_hessian (std::vector< Real > &ahwv, const std::vector< Real > &w, const std::vector< Real > &v, const std::vector< Real > &u, const std::vector< Real > &z) const
void	apply_adjoint_pde_control_hessian (std::vector< Real > &ahwv, const std::vector< Real > &w, const std::vector< Real > &v, const std::vector< Real > &u, const std::vector< Real > &z)
void	apply_adjoint_control_pde_hessian (std::vector< Real > &ahwv, const std::vector< Real > &w, const std::vector< Real > &v, const std::vector< Real > &u, const std::vector< Real > &z)
void	apply_adjoint_control_hessian (std::vector< Real > &ahwv, const std::vector< Real > &w, const std::vector< Real > &v, const std::vector< Real > &u, const std::vector< Real > &z)
	BurgersFEM (int nx=128, Real nl=1.0, Real cH1=1.0, Real cL2=1.0)
void	set_problem_data (const Real nu, const Real f, const Real u0, const Real u1)
Real	get_viscosity (void) const
int	num_dof (void) const
Real	mesh_spacing (void) const
Real	compute_L2_dot (const std::vector< Real > &x, const std::vector< Real > &y) const
Real	compute_L2_norm (const std::vector< Real > &r) const
void	apply_mass (std::vector< Real > &Mu, const std::vector< Real > &u) const
void	apply_inverse_mass (std::vector< Real > &Mu, const std::vector< Real > &u) const
void	test_inverse_mass (std::ostream &outStream=std::cout)
Real	compute_H1_dot (const std::vector< Real > &x, const std::vector< Real > &y) const
Real	compute_H1_norm (const std::vector< Real > &r) const
void	apply_H1 (std::vector< Real > &Mu, const std::vector< Real > &u) const
void	apply_inverse_H1 (std::vector< Real > &Mu, const std::vector< Real > &u) const
void	test_inverse_H1 (std::ostream &outStream=std::cout)
void	compute_residual (std::vector< Real > &r, const std::vector< Real > &u, const std::vector< Real > &z) const
void	compute_pde_jacobian (std::vector< Real > &dl, std::vector< Real > &d, std::vector< Real > &du, const std::vector< Real > &u) const
void	apply_pde_jacobian (std::vector< Real > &jv, const std::vector< Real > &v, const std::vector< Real > &u, const std::vector< Real > &z) const
void	apply_inverse_pde_jacobian (std::vector< Real > &ijv, const std::vector< Real > &v, const std::vector< Real > &u, const std::vector< Real > &z) const
void	apply_adjoint_pde_jacobian (std::vector< Real > &ajv, const std::vector< Real > &v, const std::vector< Real > &u, const std::vector< Real > &z) const
void	apply_inverse_adjoint_pde_jacobian (std::vector< Real > &iajv, const std::vector< Real > &v, const std::vector< Real > &u, const std::vector< Real > &z) const
void	apply_control_jacobian (std::vector< Real > &jv, const std::vector< Real > &v, const std::vector< Real > &u, const std::vector< Real > &z) const
void	apply_adjoint_control_jacobian (std::vector< Real > &jv, const std::vector< Real > &v, const std::vector< Real > &u, const std::vector< Real > &z) const
void	apply_adjoint_pde_hessian (std::vector< Real > &ahwv, const std::vector< Real > &w, const std::vector< Real > &v, const std::vector< Real > &u, const std::vector< Real > &z) const
void	apply_adjoint_pde_control_hessian (std::vector< Real > &ahwv, const std::vector< Real > &w, const std::vector< Real > &v, const std::vector< Real > &u, const std::vector< Real > &z)
void	apply_adjoint_control_pde_hessian (std::vector< Real > &ahwv, const std::vector< Real > &w, const std::vector< Real > &v, const std::vector< Real > &u, const std::vector< Real > &z)
void	apply_adjoint_control_hessian (std::vector< Real > &ahwv, const std::vector< Real > &w, const std::vector< Real > &v, const std::vector< Real > &u, const std::vector< Real > &z)
	BurgersFEM (int nx=128, Real nl=1.0, Real cH1=1.0, Real cL2=1.0)
void	set_problem_data (const Real nu, const Real f, const Real u0, const Real u1)
int	num_dof (void) const
Real	mesh_spacing (void) const
Real	compute_L2_dot (const std::vector< Real > &x, const std::vector< Real > &y) const
Real	compute_L2_norm (const std::vector< Real > &r) const
void	apply_mass (std::vector< Real > &Mu, const std::vector< Real > &u) const
void	apply_inverse_mass (std::vector< Real > &Mu, const std::vector< Real > &u) const
void	test_inverse_mass (std::ostream &outStream=std::cout)
Real	compute_H1_dot (const std::vector< Real > &x, const std::vector< Real > &y) const
Real	compute_H1_norm (const std::vector< Real > &r) const
void	apply_H1 (std::vector< Real > &Mu, const std::vector< Real > &u) const
void	apply_inverse_H1 (std::vector< Real > &Mu, const std::vector< Real > &u) const
void	test_inverse_H1 (std::ostream &outStream=std::cout)
void	compute_residual (std::vector< Real > &r, const std::vector< Real > &u, const std::vector< Real > &z) const
void	compute_pde_jacobian (std::vector< Real > &dl, std::vector< Real > &d, std::vector< Real > &du, const std::vector< Real > &u) const
void	apply_pde_jacobian (std::vector< Real > &jv, const std::vector< Real > &v, const std::vector< Real > &u, const std::vector< Real > &z) const
void	apply_inverse_pde_jacobian (std::vector< Real > &ijv, const std::vector< Real > &v, const std::vector< Real > &u, const std::vector< Real > &z) const
void	apply_adjoint_pde_jacobian (std::vector< Real > &ajv, const std::vector< Real > &v, const std::vector< Real > &u, const std::vector< Real > &z) const
void	apply_inverse_adjoint_pde_jacobian (std::vector< Real > &iajv, const std::vector< Real > &v, const std::vector< Real > &u, const std::vector< Real > &z) const
void	apply_control_jacobian (std::vector< Real > &jv, const std::vector< Real > &v, const std::vector< Real > &u, const std::vector< Real > &z) const
void	apply_adjoint_control_jacobian (std::vector< Real > &jv, const std::vector< Real > &v, const std::vector< Real > &u, const std::vector< Real > &z) const
void	apply_adjoint_pde_hessian (std::vector< Real > &ahwv, const std::vector< Real > &w, const std::vector< Real > &v, const std::vector< Real > &u, const std::vector< Real > &z) const
void	apply_adjoint_pde_control_hessian (std::vector< Real > &ahwv, const std::vector< Real > &w, const std::vector< Real > &v, const std::vector< Real > &u, const std::vector< Real > &z)
void	apply_adjoint_control_pde_hessian (std::vector< Real > &ahwv, const std::vector< Real > &w, const std::vector< Real > &v, const std::vector< Real > &u, const std::vector< Real > &z)
void	apply_adjoint_control_hessian (std::vector< Real > &ahwv, const std::vector< Real > &w, const std::vector< Real > &v, const std::vector< Real > &u, const std::vector< Real > &z)

Private Member Functions
void	update (std::vector< Real > &u, const std::vector< Real > &s, const Real alpha=1.0) const
void	axpy (std::vector< Real > &out, const Real a, const std::vector< Real > &x, const std::vector< Real > &y) const
void	scale (std::vector< Real > &u, const Real alpha=0.0) const
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) const
void	update (std::vector< Real > &u, const std::vector< Real > &s, const Real alpha=1.0) const
void	axpy (std::vector< Real > &out, const Real a, const std::vector< Real > &x, const std::vector< Real > &y) const
void	scale (std::vector< Real > &u, const Real alpha=0.0) const
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) const
void	update (std::vector< Real > &u, const std::vector< Real > &s, const Real alpha=1.0) const
void	axpy (std::vector< Real > &out, const Real a, const std::vector< Real > &x, const std::vector< Real > &y) const
void	scale (std::vector< Real > &u, const Real alpha=0.0) const
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) const
void	update (std::vector< Real > &u, const std::vector< Real > &s, const Real alpha=1.0) const
void	axpy (std::vector< Real > &out, const Real a, const std::vector< Real > &x, const std::vector< Real > &y) const
void	scale (std::vector< Real > &u, const Real alpha=0.0) const
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) const
void	update (std::vector< Real > &u, const std::vector< Real > &s, const Real alpha=1.0) const
void	axpy (std::vector< Real > &out, const Real a, const std::vector< Real > &x, const std::vector< Real > &y) const
void	scale (std::vector< Real > &u, const Real alpha=0.0) const
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) const

Private Attributes
int	nx_
Real	dx_
Real	nu_
Real	nl_
Real	u0_
Real	u1_
Real	f_
Real	cH1_
Real	cL2_

Detailed Description

template<class Real>
class BurgersFEM< Real >

Definition at line 35 of file test_04.hpp.

Constructor & Destructor Documentation

BurgersFEM() [1/5]

template<class Real >

BurgersFEM< Real >::BurgersFEM ( int  nx = 128, Real  nl = 1.0, Real  cH1 = 1.0, Real  cL2 = 1.0  )

inline

Definition at line 97 of file test_04.hpp.

References BurgersFEM< Real >::f_, BurgersFEM< Real >::nu_, BurgersFEM< Real >::u0_, and BurgersFEM< Real >::u1_.

BurgersFEM() [2/5]

template<class Real >

BurgersFEM< Real >::BurgersFEM ( int  nx = 128, Real  nu = 1.e-2, Real  nl = 1.0, Real  u0 = 1.0, Real  u1 = 0.0, Real  f = 0.0, Real  cH1 = 1.0, Real  cL2 = 1.0  )

inline

Definition at line 98 of file example_04.hpp.

BurgersFEM() [3/5]

template<class Real >

BurgersFEM< Real >::BurgersFEM ( int  nx = 128, Real  nl = 1.0, Real  cH1 = 1.0, Real  cL2 = 1.0  )

inline

Definition at line 99 of file example_06.hpp.

BurgersFEM() [4/5]

template<class Real >

BurgersFEM< Real >::BurgersFEM ( int  nx = 128, Real  nl = 1.0, Real  cH1 = 1.0, Real  cL2 = 1.0  )

inline

Definition at line 99 of file example_07.hpp.

BurgersFEM() [5/5]

template<class Real >

BurgersFEM< Real >::BurgersFEM ( int  nx = 128, Real  nl = 1.0, Real  cH1 = 1.0, Real  cL2 = 1.0  )

inline

Definition at line 99 of file example_08.hpp.

Member Function Documentation

update() [1/5]

template<class Real >

void BurgersFEM< Real >::update ( std::vector< Real > &  u, const std::vector< Real > &  s, const Real  alpha = 1.0  ) const

inlineprivate

Definition at line 48 of file test_04.hpp.

axpy() [1/5]

template<class Real >

void BurgersFEM< Real >::axpy ( std::vector< Real > &  out, const Real  a, const std::vector< Real > &  x, const std::vector< Real > &  y  ) const

inlineprivate

Definition at line 54 of file test_04.hpp.

Referenced by BurgersFEM< Real >::test_inverse_H1(), and BurgersFEM< Real >::test_inverse_mass().

scale() [1/5]

template<class Real >

void BurgersFEM< Real >::scale ( std::vector< Real > &  u, const Real  alpha = 0.0  ) const

inlineprivate

Definition at line 60 of file test_04.hpp.

linear_solve() [1/5]

template<class Real >

void BurgersFEM< 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  ) const

inlineprivate

Definition at line 66 of file test_04.hpp.

References dim.

Referenced by BurgersFEM< Real >::apply_inverse_adjoint_pde_jacobian(), BurgersFEM< Real >::apply_inverse_H1(), BurgersFEM< Real >::apply_inverse_mass(), and BurgersFEM< Real >::apply_inverse_pde_jacobian().

set_problem_data() [1/4]

template<class Real >

void BurgersFEM< Real >::set_problem_data ( const Real  nu, const Real  f, const Real  u0, const Real  u1  )

inline

Definition at line 105 of file test_04.hpp.

References BurgersFEM< Real >::f_, BurgersFEM< Real >::nu_, BurgersFEM< Real >::u0_, and BurgersFEM< Real >::u1_.

num_dof() [1/5]

template<class Real >

int BurgersFEM< Real >::num_dof ( void  ) const

inline

Definition at line 112 of file test_04.hpp.

References BurgersFEM< Real >::nx_.

mesh_spacing() [1/5]

template<class Real >

Real BurgersFEM< Real >::mesh_spacing ( void  ) const

inline

Definition at line 116 of file test_04.hpp.

References BurgersFEM< Real >::dx_.

compute_L2_dot() [1/5]

template<class Real >

Real BurgersFEM< Real >::compute_L2_dot ( const std::vector< Real > &  x, const std::vector< Real > &  y  ) const

inline

Definition at line 124 of file test_04.hpp.

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

Referenced by BurgersFEM< Real >::compute_L2_norm().

compute_L2_norm() [1/5]

template<class Real >

Real BurgersFEM< Real >::compute_L2_norm ( const std::vector< Real > &  r ) const

inline

Definition at line 142 of file test_04.hpp.

References BurgersFEM< Real >::compute_L2_dot().

Referenced by BurgersFEM< Real >::test_inverse_mass().

apply_mass() [1/5]

template<class Real >

void BurgersFEM< Real >::apply_mass ( std::vector< Real > &  Mu, const std::vector< Real > &  u  ) const

inline

Definition at line 147 of file test_04.hpp.

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

Referenced by BurgersFEM< Real >::test_inverse_mass().

apply_inverse_mass() [1/5]

template<class Real >

void BurgersFEM< Real >::apply_inverse_mass ( std::vector< Real > &  Mu, const std::vector< Real > &  u  ) const

inline

Definition at line 164 of file test_04.hpp.

References BurgersFEM< Real >::dx_, BurgersFEM< Real >::linear_solve(), and BurgersFEM< Real >::nx_.

Referenced by BurgersFEM< Real >::test_inverse_mass().

test_inverse_mass() [1/5]

template<class Real >

void BurgersFEM< Real >::test_inverse_mass ( std::ostream &  outStream = std::cout )

inline

Definition at line 177 of file test_04.hpp.

References BurgersFEM< Real >::apply_inverse_mass(), BurgersFEM< Real >::apply_mass(), BurgersFEM< Real >::axpy(), BurgersFEM< Real >::compute_L2_norm(), and BurgersFEM< Real >::nx_.

compute_H1_dot() [1/5]

template<class Real >

Real BurgersFEM< Real >::compute_H1_dot ( const std::vector< Real > &  x, const std::vector< Real > &  y  ) const

inline

Definition at line 214 of file test_04.hpp.

References BurgersFEM< Real >::cH1_, BurgersFEM< Real >::cL2_, BurgersFEM< Real >::dx_, and BurgersFEM< Real >::nx_.

Referenced by BurgersFEM< Real >::compute_H1_norm().

compute_H1_norm() [1/5]

template<class Real >

Real BurgersFEM< Real >::compute_H1_norm ( const std::vector< Real > &  r ) const

inline

Definition at line 234 of file test_04.hpp.

References BurgersFEM< Real >::compute_H1_dot().

Referenced by BurgersFEM< Real >::test_inverse_H1().

apply_H1() [1/5]

template<class Real >

void BurgersFEM< Real >::apply_H1 ( std::vector< Real > &  Mu, const std::vector< Real > &  u  ) const

inline

Definition at line 239 of file test_04.hpp.

References BurgersFEM< Real >::cH1_, BurgersFEM< Real >::cL2_, BurgersFEM< Real >::dx_, and BurgersFEM< Real >::nx_.

Referenced by BurgersFEM< Real >::test_inverse_H1().

apply_inverse_H1() [1/5]

template<class Real >

void BurgersFEM< Real >::apply_inverse_H1 ( std::vector< Real > &  Mu, const std::vector< Real > &  u  ) const

inline

Definition at line 258 of file test_04.hpp.

References BurgersFEM< Real >::cH1_, BurgersFEM< Real >::cL2_, BurgersFEM< Real >::dx_, BurgersFEM< Real >::linear_solve(), and BurgersFEM< Real >::nx_.

Referenced by BurgersFEM< Real >::test_inverse_H1().

test_inverse_H1() [1/5]

template<class Real >

void BurgersFEM< Real >::test_inverse_H1 ( std::ostream &  outStream = std::cout )

inline

Definition at line 266 of file test_04.hpp.

References BurgersFEM< Real >::apply_H1(), BurgersFEM< Real >::apply_inverse_H1(), BurgersFEM< Real >::axpy(), BurgersFEM< Real >::compute_H1_norm(), and BurgersFEM< Real >::nx_.

compute_residual() [1/5]

template<class Real >

void BurgersFEM< Real >::compute_residual ( std::vector< Real > &  r, const std::vector< Real > &  u, const std::vector< Real > &  z  ) const

inline

Definition at line 287 of file test_04.hpp.

References BurgersFEM< Real >::dx_, BurgersFEM< Real >::f_, BurgersFEM< Real >::nl_, BurgersFEM< Real >::nu_, BurgersFEM< Real >::nx_, BurgersFEM< Real >::u0_, and BurgersFEM< Real >::u1_.

compute_pde_jacobian() [1/5]

template<class Real >

void BurgersFEM< Real >::compute_pde_jacobian ( std::vector< Real > &  dl, std::vector< Real > &  d, std::vector< Real > &  du, const std::vector< Real > &  u  ) const

inline

Definition at line 323 of file test_04.hpp.

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

Referenced by BurgersFEM< Real >::apply_inverse_adjoint_pde_jacobian(), and BurgersFEM< Real >::apply_inverse_pde_jacobian().

apply_pde_jacobian() [1/5]

template<class Real >

void BurgersFEM< Real >::apply_pde_jacobian ( std::vector< Real > &  jv, const std::vector< Real > &  v, const std::vector< Real > &  u, const std::vector< Real > &  z  ) const

inline

Definition at line 351 of file test_04.hpp.

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

apply_inverse_pde_jacobian() [1/5]

template<class Real >

void BurgersFEM< Real >::apply_inverse_pde_jacobian ( std::vector< Real > &  ijv, const std::vector< Real > &  v, const std::vector< Real > &  u, const std::vector< Real > &  z  ) const

inline

Definition at line 370 of file test_04.hpp.

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

apply_adjoint_pde_jacobian() [1/5]

template<class Real >

void BurgersFEM< Real >::apply_adjoint_pde_jacobian ( std::vector< Real > &  ajv, const std::vector< Real > &  v, const std::vector< Real > &  u, const std::vector< Real > &  z  ) const

inline

Definition at line 384 of file test_04.hpp.

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

apply_inverse_adjoint_pde_jacobian() [1/5]

template<class Real >

void BurgersFEM< Real >::apply_inverse_adjoint_pde_jacobian ( std::vector< Real > &  iajv, const std::vector< Real > &  v, const std::vector< Real > &  u, const std::vector< Real > &  z  ) const

inline

Definition at line 405 of file test_04.hpp.

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

apply_control_jacobian() [1/5]

template<class Real >

void BurgersFEM< Real >::apply_control_jacobian ( std::vector< Real > &  jv, const std::vector< Real > &  v, const std::vector< Real > &  u, const std::vector< Real > &  z  ) const

inline

Definition at line 422 of file test_04.hpp.

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

apply_adjoint_control_jacobian() [1/5]

template<class Real >

void BurgersFEM< Real >::apply_adjoint_control_jacobian ( std::vector< Real > &  jv, const std::vector< Real > &  v, const std::vector< Real > &  u, const std::vector< Real > &  z  ) const

inline

Definition at line 433 of file test_04.hpp.

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

apply_adjoint_pde_hessian() [1/5]

template<class Real >

void BurgersFEM< Real >::apply_adjoint_pde_hessian ( std::vector< Real > &  ahwv, const std::vector< Real > &  w, const std::vector< Real > &  v, const std::vector< Real > &  u, const std::vector< Real > &  z  ) const

inline

Definition at line 459 of file test_04.hpp.

References BurgersFEM< Real >::nx_.

apply_adjoint_pde_control_hessian() [1/5]

template<class Real >

void BurgersFEM< Real >::apply_adjoint_pde_control_hessian ( std::vector< Real > &  ahwv, const std::vector< Real > &  w, const std::vector< Real > &  v, const std::vector< Real > &  u, const std::vector< Real > &  z  )

inline

Definition at line 476 of file test_04.hpp.

apply_adjoint_control_pde_hessian() [1/5]

template<class Real >

void BurgersFEM< Real >::apply_adjoint_control_pde_hessian ( std::vector< Real > &  ahwv, const std::vector< Real > &  w, const std::vector< Real > &  v, const std::vector< Real > &  u, const std::vector< Real > &  z  )

inline

Definition at line 483 of file test_04.hpp.

apply_adjoint_control_hessian() [1/5]

template<class Real >

void BurgersFEM< Real >::apply_adjoint_control_hessian ( std::vector< Real > &  ahwv, const std::vector< Real > &  w, const std::vector< Real > &  v, const std::vector< Real > &  u, const std::vector< Real > &  z  )

inline

Definition at line 490 of file test_04.hpp.

update() [2/5]

template<class Real >

void BurgersFEM< Real >::update ( std::vector< Real > &  u, const std::vector< Real > &  s, const Real  alpha = 1.0  ) const

inlineprivate

Definition at line 49 of file example_04.hpp.

axpy() [2/5]

template<class Real >

void BurgersFEM< Real >::axpy ( std::vector< Real > &  out, const Real  a, const std::vector< Real > &  x, const std::vector< Real > &  y  ) const

inlineprivate

Definition at line 55 of file example_04.hpp.

scale() [2/5]

template<class Real >

void BurgersFEM< Real >::scale ( std::vector< Real > &  u, const Real  alpha = 0.0  ) const

inlineprivate

Definition at line 61 of file example_04.hpp.

linear_solve() [2/5]

template<class Real >

void BurgersFEM< 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  ) const

inlineprivate

Definition at line 67 of file example_04.hpp.

References dim.

num_dof() [2/5]

template<class Real >

int BurgersFEM< Real >::num_dof ( void  ) const

inline

Definition at line 105 of file example_04.hpp.

References BurgersFEM< Real >::nx_.

mesh_spacing() [2/5]

template<class Real >

Real BurgersFEM< Real >::mesh_spacing ( void  ) const

inline

Definition at line 109 of file example_04.hpp.

References BurgersFEM< Real >::dx_.

compute_L2_dot() [2/5]

template<class Real >

Real BurgersFEM< Real >::compute_L2_dot ( const std::vector< Real > &  x, const std::vector< Real > &  y  ) const

inline

Definition at line 117 of file example_04.hpp.

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

compute_L2_norm() [2/5]

template<class Real >

Real BurgersFEM< Real >::compute_L2_norm ( const std::vector< Real > &  r ) const

inline

Definition at line 135 of file example_04.hpp.

References BurgersFEM< Real >::compute_L2_dot().

apply_mass() [2/5]

template<class Real >

void BurgersFEM< Real >::apply_mass ( std::vector< Real > &  Mu, const std::vector< Real > &  u  ) const

inline

Definition at line 140 of file example_04.hpp.

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

apply_inverse_mass() [2/5]

template<class Real >

void BurgersFEM< Real >::apply_inverse_mass ( std::vector< Real > &  Mu, const std::vector< Real > &  u  ) const

inline

Definition at line 157 of file example_04.hpp.

References BurgersFEM< Real >::dx_, BurgersFEM< Real >::linear_solve(), and BurgersFEM< Real >::nx_.

test_inverse_mass() [2/5]

template<class Real >

void BurgersFEM< Real >::test_inverse_mass ( std::ostream &  outStream = std::cout )

inline

Definition at line 170 of file example_04.hpp.

References BurgersFEM< Real >::apply_inverse_mass(), BurgersFEM< Real >::apply_mass(), BurgersFEM< Real >::axpy(), BurgersFEM< Real >::compute_L2_norm(), and BurgersFEM< Real >::nx_.

compute_H1_dot() [2/5]

template<class Real >

Real BurgersFEM< Real >::compute_H1_dot ( const std::vector< Real > &  x, const std::vector< Real > &  y  ) const

inline

Definition at line 207 of file example_04.hpp.

References BurgersFEM< Real >::cH1_, BurgersFEM< Real >::cL2_, BurgersFEM< Real >::dx_, and BurgersFEM< Real >::nx_.

compute_H1_norm() [2/5]

template<class Real >

Real BurgersFEM< Real >::compute_H1_norm ( const std::vector< Real > &  r ) const

inline

Definition at line 227 of file example_04.hpp.

References BurgersFEM< Real >::compute_H1_dot().

apply_H1() [2/5]

template<class Real >

void BurgersFEM< Real >::apply_H1 ( std::vector< Real > &  Mu, const std::vector< Real > &  u  ) const

inline

Definition at line 232 of file example_04.hpp.

References BurgersFEM< Real >::cH1_, BurgersFEM< Real >::cL2_, BurgersFEM< Real >::dx_, and BurgersFEM< Real >::nx_.

apply_inverse_H1() [2/5]

template<class Real >

void BurgersFEM< Real >::apply_inverse_H1 ( std::vector< Real > &  Mu, const std::vector< Real > &  u  ) const

inline

Definition at line 251 of file example_04.hpp.

References BurgersFEM< Real >::cH1_, BurgersFEM< Real >::cL2_, BurgersFEM< Real >::dx_, BurgersFEM< Real >::linear_solve(), and BurgersFEM< Real >::nx_.

test_inverse_H1() [2/5]

template<class Real >

void BurgersFEM< Real >::test_inverse_H1 ( std::ostream &  outStream = std::cout )

inline

Definition at line 259 of file example_04.hpp.

References BurgersFEM< Real >::apply_H1(), BurgersFEM< Real >::apply_inverse_H1(), BurgersFEM< Real >::axpy(), BurgersFEM< Real >::compute_H1_norm(), and BurgersFEM< Real >::nx_.

compute_residual() [2/5]

template<class Real >

void BurgersFEM< Real >::compute_residual ( std::vector< Real > &  r, const std::vector< Real > &  u, const std::vector< Real > &  z  ) const

inline

Definition at line 280 of file example_04.hpp.

References BurgersFEM< Real >::dx_, BurgersFEM< Real >::f_, BurgersFEM< Real >::nl_, BurgersFEM< Real >::nu_, BurgersFEM< Real >::nx_, BurgersFEM< Real >::u0_, and BurgersFEM< Real >::u1_.

compute_pde_jacobian() [2/5]

template<class Real >

void BurgersFEM< Real >::compute_pde_jacobian ( std::vector< Real > &  dl, std::vector< Real > &  d, std::vector< Real > &  du, const std::vector< Real > &  u  ) const

inline

Definition at line 316 of file example_04.hpp.

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

apply_pde_jacobian() [2/5]

template<class Real >

void BurgersFEM< Real >::apply_pde_jacobian ( std::vector< Real > &  jv, const std::vector< Real > &  v, const std::vector< Real > &  u, const std::vector< Real > &  z  ) const

inline

Definition at line 344 of file example_04.hpp.

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

apply_inverse_pde_jacobian() [2/5]

template<class Real >

void BurgersFEM< Real >::apply_inverse_pde_jacobian ( std::vector< Real > &  ijv, const std::vector< Real > &  v, const std::vector< Real > &  u, const std::vector< Real > &  z  ) const

inline

Definition at line 363 of file example_04.hpp.

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

apply_adjoint_pde_jacobian() [2/5]

template<class Real >

void BurgersFEM< Real >::apply_adjoint_pde_jacobian ( std::vector< Real > &  ajv, const std::vector< Real > &  v, const std::vector< Real > &  u, const std::vector< Real > &  z  ) const

inline

Definition at line 377 of file example_04.hpp.

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

apply_inverse_adjoint_pde_jacobian() [2/5]

template<class Real >

void BurgersFEM< Real >::apply_inverse_adjoint_pde_jacobian ( std::vector< Real > &  iajv, const std::vector< Real > &  v, const std::vector< Real > &  u, const std::vector< Real > &  z  ) const

inline

Definition at line 398 of file example_04.hpp.

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

apply_control_jacobian() [2/5]

template<class Real >

void BurgersFEM< Real >::apply_control_jacobian ( std::vector< Real > &  jv, const std::vector< Real > &  v, const std::vector< Real > &  u, const std::vector< Real > &  z  ) const

inline

Definition at line 415 of file example_04.hpp.

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

apply_adjoint_control_jacobian() [2/5]

template<class Real >

void BurgersFEM< Real >::apply_adjoint_control_jacobian ( std::vector< Real > &  jv, const std::vector< Real > &  v, const std::vector< Real > &  u, const std::vector< Real > &  z  ) const

inline

Definition at line 426 of file example_04.hpp.

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

apply_adjoint_pde_hessian() [2/5]

template<class Real >

void BurgersFEM< Real >::apply_adjoint_pde_hessian ( std::vector< Real > &  ahwv, const std::vector< Real > &  w, const std::vector< Real > &  v, const std::vector< Real > &  u, const std::vector< Real > &  z  ) const

inline

Definition at line 452 of file example_04.hpp.

References BurgersFEM< Real >::nx_.

apply_adjoint_pde_control_hessian() [2/5]

template<class Real >

void BurgersFEM< Real >::apply_adjoint_pde_control_hessian ( std::vector< Real > &  ahwv, const std::vector< Real > &  w, const std::vector< Real > &  v, const std::vector< Real > &  u, const std::vector< Real > &  z  )

inline

Definition at line 469 of file example_04.hpp.

apply_adjoint_control_pde_hessian() [2/5]

template<class Real >

void BurgersFEM< Real >::apply_adjoint_control_pde_hessian ( std::vector< Real > &  ahwv, const std::vector< Real > &  w, const std::vector< Real > &  v, const std::vector< Real > &  u, const std::vector< Real > &  z  )

inline

Definition at line 476 of file example_04.hpp.

apply_adjoint_control_hessian() [2/5]

template<class Real >

void BurgersFEM< Real >::apply_adjoint_control_hessian ( std::vector< Real > &  ahwv, const std::vector< Real > &  w, const std::vector< Real > &  v, const std::vector< Real > &  u, const std::vector< Real > &  z  )

inline

Definition at line 483 of file example_04.hpp.

update() [3/5]

template<class Real >

void BurgersFEM< Real >::update ( std::vector< Real > &  u, const std::vector< Real > &  s, const Real  alpha = 1.0  ) const

inlineprivate

Definition at line 50 of file example_06.hpp.

axpy() [3/5]

template<class Real >

void BurgersFEM< Real >::axpy ( std::vector< Real > &  out, const Real  a, const std::vector< Real > &  x, const std::vector< Real > &  y  ) const

inlineprivate

Definition at line 56 of file example_06.hpp.

scale() [3/5]

template<class Real >

void BurgersFEM< Real >::scale ( std::vector< Real > &  u, const Real  alpha = 0.0  ) const

inlineprivate

Definition at line 62 of file example_06.hpp.

linear_solve() [3/5]

template<class Real >

void BurgersFEM< 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  ) const

inlineprivate

Definition at line 68 of file example_06.hpp.

References dim.

set_problem_data() [2/4]

template<class Real >

void BurgersFEM< Real >::set_problem_data ( const Real  nu, const Real  f, const Real  u0, const Real  u1  )

inline

Definition at line 102 of file example_06.hpp.

References BurgersFEM< Real >::f_, BurgersFEM< Real >::nu_, BurgersFEM< Real >::u0_, and BurgersFEM< Real >::u1_.

num_dof() [3/5]

template<class Real >

int BurgersFEM< Real >::num_dof ( void  ) const

inline

Definition at line 109 of file example_06.hpp.

References BurgersFEM< Real >::nx_.

mesh_spacing() [3/5]

template<class Real >

Real BurgersFEM< Real >::mesh_spacing ( void  ) const

inline

Definition at line 113 of file example_06.hpp.

References BurgersFEM< Real >::dx_.

compute_L2_dot() [3/5]

template<class Real >

Real BurgersFEM< Real >::compute_L2_dot ( const std::vector< Real > &  x, const std::vector< Real > &  y  ) const

inline

Definition at line 121 of file example_06.hpp.

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

compute_L2_norm() [3/5]

template<class Real >

Real BurgersFEM< Real >::compute_L2_norm ( const std::vector< Real > &  r ) const

inline

Definition at line 139 of file example_06.hpp.

References BurgersFEM< Real >::compute_L2_dot().

apply_mass() [3/5]

template<class Real >

void BurgersFEM< Real >::apply_mass ( std::vector< Real > &  Mu, const std::vector< Real > &  u  ) const

inline

Definition at line 144 of file example_06.hpp.

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

apply_inverse_mass() [3/5]

template<class Real >

void BurgersFEM< Real >::apply_inverse_mass ( std::vector< Real > &  Mu, const std::vector< Real > &  u  ) const

inline

Definition at line 161 of file example_06.hpp.

References BurgersFEM< Real >::dx_, BurgersFEM< Real >::linear_solve(), and BurgersFEM< Real >::nx_.

test_inverse_mass() [3/5]

template<class Real >

void BurgersFEM< Real >::test_inverse_mass ( std::ostream &  outStream = std::cout )

inline

Definition at line 174 of file example_06.hpp.

References BurgersFEM< Real >::apply_inverse_mass(), BurgersFEM< Real >::apply_mass(), BurgersFEM< Real >::axpy(), BurgersFEM< Real >::compute_L2_norm(), and BurgersFEM< Real >::nx_.

compute_H1_dot() [3/5]

template<class Real >

Real BurgersFEM< Real >::compute_H1_dot ( const std::vector< Real > &  x, const std::vector< Real > &  y  ) const

inline

Definition at line 211 of file example_06.hpp.

References BurgersFEM< Real >::cH1_, BurgersFEM< Real >::cL2_, BurgersFEM< Real >::dx_, and BurgersFEM< Real >::nx_.

compute_H1_norm() [3/5]

template<class Real >

Real BurgersFEM< Real >::compute_H1_norm ( const std::vector< Real > &  r ) const

inline

Definition at line 231 of file example_06.hpp.

References BurgersFEM< Real >::compute_H1_dot().

apply_H1() [3/5]

template<class Real >

void BurgersFEM< Real >::apply_H1 ( std::vector< Real > &  Mu, const std::vector< Real > &  u  ) const

inline

Definition at line 236 of file example_06.hpp.

References BurgersFEM< Real >::cH1_, BurgersFEM< Real >::cL2_, BurgersFEM< Real >::dx_, and BurgersFEM< Real >::nx_.

apply_inverse_H1() [3/5]

template<class Real >

void BurgersFEM< Real >::apply_inverse_H1 ( std::vector< Real > &  Mu, const std::vector< Real > &  u  ) const

inline

Definition at line 255 of file example_06.hpp.

References BurgersFEM< Real >::cH1_, BurgersFEM< Real >::cL2_, BurgersFEM< Real >::dx_, BurgersFEM< Real >::linear_solve(), and BurgersFEM< Real >::nx_.

test_inverse_H1() [3/5]

template<class Real >

void BurgersFEM< Real >::test_inverse_H1 ( std::ostream &  outStream = std::cout )

inline

Definition at line 263 of file example_06.hpp.

References BurgersFEM< Real >::apply_H1(), BurgersFEM< Real >::apply_inverse_H1(), BurgersFEM< Real >::axpy(), BurgersFEM< Real >::compute_H1_norm(), and BurgersFEM< Real >::nx_.

compute_residual() [3/5]

template<class Real >

void BurgersFEM< Real >::compute_residual ( std::vector< Real > &  r, const std::vector< Real > &  u, const std::vector< Real > &  z  ) const

inline

Definition at line 284 of file example_06.hpp.

References BurgersFEM< Real >::dx_, BurgersFEM< Real >::f_, BurgersFEM< Real >::nl_, BurgersFEM< Real >::nu_, BurgersFEM< Real >::nx_, BurgersFEM< Real >::u0_, and BurgersFEM< Real >::u1_.

compute_pde_jacobian() [3/5]

template<class Real >

void BurgersFEM< Real >::compute_pde_jacobian ( std::vector< Real > &  dl, std::vector< Real > &  d, std::vector< Real > &  du, const std::vector< Real > &  u  ) const

inline

Definition at line 320 of file example_06.hpp.

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

apply_pde_jacobian() [3/5]

template<class Real >

void BurgersFEM< Real >::apply_pde_jacobian ( std::vector< Real > &  jv, const std::vector< Real > &  v, const std::vector< Real > &  u, const std::vector< Real > &  z  ) const

inline

Definition at line 348 of file example_06.hpp.

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

apply_inverse_pde_jacobian() [3/5]

template<class Real >

void BurgersFEM< Real >::apply_inverse_pde_jacobian ( std::vector< Real > &  ijv, const std::vector< Real > &  v, const std::vector< Real > &  u, const std::vector< Real > &  z  ) const

inline

Definition at line 367 of file example_06.hpp.

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

apply_adjoint_pde_jacobian() [3/5]

template<class Real >

void BurgersFEM< Real >::apply_adjoint_pde_jacobian ( std::vector< Real > &  ajv, const std::vector< Real > &  v, const std::vector< Real > &  u, const std::vector< Real > &  z  ) const

inline

Definition at line 381 of file example_06.hpp.

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

apply_inverse_adjoint_pde_jacobian() [3/5]

template<class Real >

void BurgersFEM< Real >::apply_inverse_adjoint_pde_jacobian ( std::vector< Real > &  iajv, const std::vector< Real > &  v, const std::vector< Real > &  u, const std::vector< Real > &  z  ) const

inline

Definition at line 402 of file example_06.hpp.

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

apply_control_jacobian() [3/5]

template<class Real >

void BurgersFEM< Real >::apply_control_jacobian ( std::vector< Real > &  jv, const std::vector< Real > &  v, const std::vector< Real > &  u, const std::vector< Real > &  z  ) const

inline

Definition at line 419 of file example_06.hpp.

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

apply_adjoint_control_jacobian() [3/5]

template<class Real >

void BurgersFEM< Real >::apply_adjoint_control_jacobian ( std::vector< Real > &  jv, const std::vector< Real > &  v, const std::vector< Real > &  u, const std::vector< Real > &  z  ) const

inline

Definition at line 430 of file example_06.hpp.

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

apply_adjoint_pde_hessian() [3/5]

template<class Real >

void BurgersFEM< Real >::apply_adjoint_pde_hessian ( std::vector< Real > &  ahwv, const std::vector< Real > &  w, const std::vector< Real > &  v, const std::vector< Real > &  u, const std::vector< Real > &  z  ) const

inline

Definition at line 456 of file example_06.hpp.

References BurgersFEM< Real >::nx_.

apply_adjoint_pde_control_hessian() [3/5]

template<class Real >

void BurgersFEM< Real >::apply_adjoint_pde_control_hessian ( std::vector< Real > &  ahwv, const std::vector< Real > &  w, const std::vector< Real > &  v, const std::vector< Real > &  u, const std::vector< Real > &  z  )

inline

Definition at line 473 of file example_06.hpp.

apply_adjoint_control_pde_hessian() [3/5]

template<class Real >

void BurgersFEM< Real >::apply_adjoint_control_pde_hessian ( std::vector< Real > &  ahwv, const std::vector< Real > &  w, const std::vector< Real > &  v, const std::vector< Real > &  u, const std::vector< Real > &  z  )

inline

Definition at line 480 of file example_06.hpp.

apply_adjoint_control_hessian() [3/5]

template<class Real >

void BurgersFEM< Real >::apply_adjoint_control_hessian ( std::vector< Real > &  ahwv, const std::vector< Real > &  w, const std::vector< Real > &  v, const std::vector< Real > &  u, const std::vector< Real > &  z  )

inline

Definition at line 487 of file example_06.hpp.

update() [4/5]

template<class Real >

void BurgersFEM< Real >::update ( std::vector< Real > &  u, const std::vector< Real > &  s, const Real  alpha = 1.0  ) const

inlineprivate

Definition at line 50 of file example_07.hpp.

axpy() [4/5]

template<class Real >

void BurgersFEM< Real >::axpy ( std::vector< Real > &  out, const Real  a, const std::vector< Real > &  x, const std::vector< Real > &  y  ) const

inlineprivate

Definition at line 56 of file example_07.hpp.

scale() [4/5]

template<class Real >

void BurgersFEM< Real >::scale ( std::vector< Real > &  u, const Real  alpha = 0.0  ) const

inlineprivate

Definition at line 62 of file example_07.hpp.

linear_solve() [4/5]

template<class Real >

void BurgersFEM< 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  ) const

inlineprivate

Definition at line 68 of file example_07.hpp.

References dim.

set_problem_data() [3/4]

template<class Real >

void BurgersFEM< Real >::set_problem_data ( const Real  nu, const Real  f, const Real  u0, const Real  u1  )

inline

Definition at line 102 of file example_07.hpp.

References BurgersFEM< Real >::f_, BurgersFEM< Real >::nu_, BurgersFEM< Real >::u0_, and BurgersFEM< Real >::u1_.

get_viscosity()

template<class Real >

Real BurgersFEM< Real >::get_viscosity ( void  ) const

inline

Definition at line 109 of file example_07.hpp.

References BurgersFEM< Real >::nu_.

num_dof() [4/5]

template<class Real >

int BurgersFEM< Real >::num_dof ( void  ) const

inline

Definition at line 113 of file example_07.hpp.

References BurgersFEM< Real >::nx_.

mesh_spacing() [4/5]

template<class Real >

Real BurgersFEM< Real >::mesh_spacing ( void  ) const

inline

Definition at line 117 of file example_07.hpp.

References BurgersFEM< Real >::dx_.

compute_L2_dot() [4/5]

template<class Real >

Real BurgersFEM< Real >::compute_L2_dot ( const std::vector< Real > &  x, const std::vector< Real > &  y  ) const

inline

Definition at line 125 of file example_07.hpp.

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

compute_L2_norm() [4/5]

template<class Real >

Real BurgersFEM< Real >::compute_L2_norm ( const std::vector< Real > &  r ) const

inline

Definition at line 143 of file example_07.hpp.

References BurgersFEM< Real >::compute_L2_dot().

apply_mass() [4/5]

template<class Real >

void BurgersFEM< Real >::apply_mass ( std::vector< Real > &  Mu, const std::vector< Real > &  u  ) const

inline

Definition at line 148 of file example_07.hpp.

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

apply_inverse_mass() [4/5]

template<class Real >

void BurgersFEM< Real >::apply_inverse_mass ( std::vector< Real > &  Mu, const std::vector< Real > &  u  ) const

inline

Definition at line 165 of file example_07.hpp.

References BurgersFEM< Real >::dx_, BurgersFEM< Real >::linear_solve(), and BurgersFEM< Real >::nx_.

test_inverse_mass() [4/5]

template<class Real >

void BurgersFEM< Real >::test_inverse_mass ( std::ostream &  outStream = std::cout )

inline

Definition at line 178 of file example_07.hpp.

References BurgersFEM< Real >::apply_inverse_mass(), BurgersFEM< Real >::apply_mass(), BurgersFEM< Real >::axpy(), BurgersFEM< Real >::compute_L2_norm(), and BurgersFEM< Real >::nx_.

compute_H1_dot() [4/5]

template<class Real >

Real BurgersFEM< Real >::compute_H1_dot ( const std::vector< Real > &  x, const std::vector< Real > &  y  ) const

inline

Definition at line 215 of file example_07.hpp.

References BurgersFEM< Real >::cH1_, BurgersFEM< Real >::cL2_, BurgersFEM< Real >::dx_, and BurgersFEM< Real >::nx_.

compute_H1_norm() [4/5]

template<class Real >

Real BurgersFEM< Real >::compute_H1_norm ( const std::vector< Real > &  r ) const

inline

Definition at line 235 of file example_07.hpp.

References BurgersFEM< Real >::compute_H1_dot().

apply_H1() [4/5]

template<class Real >

void BurgersFEM< Real >::apply_H1 ( std::vector< Real > &  Mu, const std::vector< Real > &  u  ) const

inline

Definition at line 240 of file example_07.hpp.

References BurgersFEM< Real >::cH1_, BurgersFEM< Real >::cL2_, BurgersFEM< Real >::dx_, and BurgersFEM< Real >::nx_.

apply_inverse_H1() [4/5]

template<class Real >

void BurgersFEM< Real >::apply_inverse_H1 ( std::vector< Real > &  Mu, const std::vector< Real > &  u  ) const

inline

Definition at line 259 of file example_07.hpp.

References BurgersFEM< Real >::cH1_, BurgersFEM< Real >::cL2_, BurgersFEM< Real >::dx_, BurgersFEM< Real >::linear_solve(), and BurgersFEM< Real >::nx_.

test_inverse_H1() [4/5]

template<class Real >

void BurgersFEM< Real >::test_inverse_H1 ( std::ostream &  outStream = std::cout )

inline

Definition at line 267 of file example_07.hpp.

References BurgersFEM< Real >::apply_H1(), BurgersFEM< Real >::apply_inverse_H1(), BurgersFEM< Real >::axpy(), BurgersFEM< Real >::compute_H1_norm(), and BurgersFEM< Real >::nx_.

compute_residual() [4/5]

template<class Real >

void BurgersFEM< Real >::compute_residual ( std::vector< Real > &  r, const std::vector< Real > &  u, const std::vector< Real > &  z  ) const

inline

Definition at line 288 of file example_07.hpp.

References BurgersFEM< Real >::dx_, BurgersFEM< Real >::f_, BurgersFEM< Real >::nl_, BurgersFEM< Real >::nu_, BurgersFEM< Real >::nx_, BurgersFEM< Real >::u0_, and BurgersFEM< Real >::u1_.

compute_pde_jacobian() [4/5]

template<class Real >

void BurgersFEM< Real >::compute_pde_jacobian ( std::vector< Real > &  dl, std::vector< Real > &  d, std::vector< Real > &  du, const std::vector< Real > &  u  ) const

inline

Definition at line 324 of file example_07.hpp.

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

apply_pde_jacobian() [4/5]

template<class Real >

void BurgersFEM< Real >::apply_pde_jacobian ( std::vector< Real > &  jv, const std::vector< Real > &  v, const std::vector< Real > &  u, const std::vector< Real > &  z  ) const

inline

Definition at line 352 of file example_07.hpp.

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

apply_inverse_pde_jacobian() [4/5]

template<class Real >

void BurgersFEM< Real >::apply_inverse_pde_jacobian ( std::vector< Real > &  ijv, const std::vector< Real > &  v, const std::vector< Real > &  u, const std::vector< Real > &  z  ) const

inline

Definition at line 371 of file example_07.hpp.

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

apply_adjoint_pde_jacobian() [4/5]

template<class Real >

void BurgersFEM< Real >::apply_adjoint_pde_jacobian ( std::vector< Real > &  ajv, const std::vector< Real > &  v, const std::vector< Real > &  u, const std::vector< Real > &  z  ) const

inline

Definition at line 385 of file example_07.hpp.

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

apply_inverse_adjoint_pde_jacobian() [4/5]

template<class Real >

void BurgersFEM< Real >::apply_inverse_adjoint_pde_jacobian ( std::vector< Real > &  iajv, const std::vector< Real > &  v, const std::vector< Real > &  u, const std::vector< Real > &  z  ) const

inline

Definition at line 406 of file example_07.hpp.

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

apply_control_jacobian() [4/5]

template<class Real >

void BurgersFEM< Real >::apply_control_jacobian ( std::vector< Real > &  jv, const std::vector< Real > &  v, const std::vector< Real > &  u, const std::vector< Real > &  z  ) const

inline

Definition at line 423 of file example_07.hpp.

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

apply_adjoint_control_jacobian() [4/5]

template<class Real >

void BurgersFEM< Real >::apply_adjoint_control_jacobian ( std::vector< Real > &  jv, const std::vector< Real > &  v, const std::vector< Real > &  u, const std::vector< Real > &  z  ) const

inline

Definition at line 434 of file example_07.hpp.

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

apply_adjoint_pde_hessian() [4/5]

template<class Real >

void BurgersFEM< Real >::apply_adjoint_pde_hessian ( std::vector< Real > &  ahwv, const std::vector< Real > &  w, const std::vector< Real > &  v, const std::vector< Real > &  u, const std::vector< Real > &  z  ) const

inline

Definition at line 460 of file example_07.hpp.

References BurgersFEM< Real >::nx_.

apply_adjoint_pde_control_hessian() [4/5]

template<class Real >

void BurgersFEM< Real >::apply_adjoint_pde_control_hessian ( std::vector< Real > &  ahwv, const std::vector< Real > &  w, const std::vector< Real > &  v, const std::vector< Real > &  u, const std::vector< Real > &  z  )

inline

Definition at line 477 of file example_07.hpp.

apply_adjoint_control_pde_hessian() [4/5]

template<class Real >

void BurgersFEM< Real >::apply_adjoint_control_pde_hessian ( std::vector< Real > &  ahwv, const std::vector< Real > &  w, const std::vector< Real > &  v, const std::vector< Real > &  u, const std::vector< Real > &  z  )

inline

Definition at line 484 of file example_07.hpp.

apply_adjoint_control_hessian() [4/5]

template<class Real >

void BurgersFEM< Real >::apply_adjoint_control_hessian ( std::vector< Real > &  ahwv, const std::vector< Real > &  w, const std::vector< Real > &  v, const std::vector< Real > &  u, const std::vector< Real > &  z  )

inline

Definition at line 491 of file example_07.hpp.

update() [5/5]

template<class Real >

void BurgersFEM< Real >::update ( std::vector< Real > &  u, const std::vector< Real > &  s, const Real  alpha = 1.0  ) const

inlineprivate

Definition at line 50 of file example_08.hpp.

axpy() [5/5]

template<class Real >

void BurgersFEM< Real >::axpy ( std::vector< Real > &  out, const Real  a, const std::vector< Real > &  x, const std::vector< Real > &  y  ) const

inlineprivate

Definition at line 56 of file example_08.hpp.

scale() [5/5]

template<class Real >

void BurgersFEM< Real >::scale ( std::vector< Real > &  u, const Real  alpha = 0.0  ) const

inlineprivate

Definition at line 62 of file example_08.hpp.

linear_solve() [5/5]

template<class Real >

void BurgersFEM< 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  ) const

inlineprivate

Definition at line 68 of file example_08.hpp.

References dim.

set_problem_data() [4/4]

template<class Real >

void BurgersFEM< Real >::set_problem_data ( const Real  nu, const Real  f, const Real  u0, const Real  u1  )

inline

Definition at line 102 of file example_08.hpp.

References BurgersFEM< Real >::f_, BurgersFEM< Real >::nu_, BurgersFEM< Real >::u0_, and BurgersFEM< Real >::u1_.

num_dof() [5/5]

template<class Real >

int BurgersFEM< Real >::num_dof ( void  ) const

inline

Definition at line 109 of file example_08.hpp.

References BurgersFEM< Real >::nx_.

mesh_spacing() [5/5]

template<class Real >

Real BurgersFEM< Real >::mesh_spacing ( void  ) const

inline

Definition at line 113 of file example_08.hpp.

References BurgersFEM< Real >::dx_.

compute_L2_dot() [5/5]

template<class Real >

Real BurgersFEM< Real >::compute_L2_dot ( const std::vector< Real > &  x, const std::vector< Real > &  y  ) const

inline

Definition at line 121 of file example_08.hpp.

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

compute_L2_norm() [5/5]

template<class Real >

Real BurgersFEM< Real >::compute_L2_norm ( const std::vector< Real > &  r ) const

inline

Definition at line 139 of file example_08.hpp.

References BurgersFEM< Real >::compute_L2_dot().

apply_mass() [5/5]

template<class Real >

void BurgersFEM< Real >::apply_mass ( std::vector< Real > &  Mu, const std::vector< Real > &  u  ) const

inline

Definition at line 144 of file example_08.hpp.

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

apply_inverse_mass() [5/5]

template<class Real >

void BurgersFEM< Real >::apply_inverse_mass ( std::vector< Real > &  Mu, const std::vector< Real > &  u  ) const

inline

Definition at line 161 of file example_08.hpp.

References BurgersFEM< Real >::dx_, BurgersFEM< Real >::linear_solve(), and BurgersFEM< Real >::nx_.

test_inverse_mass() [5/5]

template<class Real >

void BurgersFEM< Real >::test_inverse_mass ( std::ostream &  outStream = std::cout )

inline

Definition at line 174 of file example_08.hpp.

References BurgersFEM< Real >::apply_inverse_mass(), BurgersFEM< Real >::apply_mass(), BurgersFEM< Real >::axpy(), BurgersFEM< Real >::compute_L2_norm(), and BurgersFEM< Real >::nx_.

compute_H1_dot() [5/5]

template<class Real >

Real BurgersFEM< Real >::compute_H1_dot ( const std::vector< Real > &  x, const std::vector< Real > &  y  ) const

inline

Definition at line 211 of file example_08.hpp.

References BurgersFEM< Real >::cH1_, BurgersFEM< Real >::cL2_, BurgersFEM< Real >::dx_, and BurgersFEM< Real >::nx_.

compute_H1_norm() [5/5]

template<class Real >

Real BurgersFEM< Real >::compute_H1_norm ( const std::vector< Real > &  r ) const

inline

Definition at line 231 of file example_08.hpp.

References BurgersFEM< Real >::compute_H1_dot().

apply_H1() [5/5]

template<class Real >

void BurgersFEM< Real >::apply_H1 ( std::vector< Real > &  Mu, const std::vector< Real > &  u  ) const

inline

Definition at line 236 of file example_08.hpp.

References BurgersFEM< Real >::cH1_, BurgersFEM< Real >::cL2_, BurgersFEM< Real >::dx_, and BurgersFEM< Real >::nx_.

apply_inverse_H1() [5/5]

template<class Real >

void BurgersFEM< Real >::apply_inverse_H1 ( std::vector< Real > &  Mu, const std::vector< Real > &  u  ) const

inline

Definition at line 255 of file example_08.hpp.

References BurgersFEM< Real >::cH1_, BurgersFEM< Real >::cL2_, BurgersFEM< Real >::dx_, BurgersFEM< Real >::linear_solve(), and BurgersFEM< Real >::nx_.

test_inverse_H1() [5/5]

template<class Real >

void BurgersFEM< Real >::test_inverse_H1 ( std::ostream &  outStream = std::cout )

inline

Definition at line 263 of file example_08.hpp.

References BurgersFEM< Real >::apply_H1(), BurgersFEM< Real >::apply_inverse_H1(), BurgersFEM< Real >::axpy(), BurgersFEM< Real >::compute_H1_norm(), and BurgersFEM< Real >::nx_.

compute_residual() [5/5]

template<class Real >

void BurgersFEM< Real >::compute_residual ( std::vector< Real > &  r, const std::vector< Real > &  u, const std::vector< Real > &  z  ) const

inline

Definition at line 284 of file example_08.hpp.

References BurgersFEM< Real >::dx_, BurgersFEM< Real >::f_, BurgersFEM< Real >::nl_, BurgersFEM< Real >::nu_, BurgersFEM< Real >::nx_, BurgersFEM< Real >::u0_, and BurgersFEM< Real >::u1_.

compute_pde_jacobian() [5/5]

template<class Real >

void BurgersFEM< Real >::compute_pde_jacobian ( std::vector< Real > &  dl, std::vector< Real > &  d, std::vector< Real > &  du, const std::vector< Real > &  u  ) const

inline

Definition at line 320 of file example_08.hpp.

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

apply_pde_jacobian() [5/5]

template<class Real >

void BurgersFEM< Real >::apply_pde_jacobian ( std::vector< Real > &  jv, const std::vector< Real > &  v, const std::vector< Real > &  u, const std::vector< Real > &  z  ) const

inline

Definition at line 348 of file example_08.hpp.

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

apply_inverse_pde_jacobian() [5/5]

template<class Real >

void BurgersFEM< Real >::apply_inverse_pde_jacobian ( std::vector< Real > &  ijv, const std::vector< Real > &  v, const std::vector< Real > &  u, const std::vector< Real > &  z  ) const

inline

Definition at line 367 of file example_08.hpp.

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

apply_adjoint_pde_jacobian() [5/5]

template<class Real >

void BurgersFEM< Real >::apply_adjoint_pde_jacobian ( std::vector< Real > &  ajv, const std::vector< Real > &  v, const std::vector< Real > &  u, const std::vector< Real > &  z  ) const

inline

Definition at line 381 of file example_08.hpp.

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

apply_inverse_adjoint_pde_jacobian() [5/5]

template<class Real >

void BurgersFEM< Real >::apply_inverse_adjoint_pde_jacobian ( std::vector< Real > &  iajv, const std::vector< Real > &  v, const std::vector< Real > &  u, const std::vector< Real > &  z  ) const

inline

Definition at line 402 of file example_08.hpp.

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

apply_control_jacobian() [5/5]

template<class Real >

void BurgersFEM< Real >::apply_control_jacobian ( std::vector< Real > &  jv, const std::vector< Real > &  v, const std::vector< Real > &  u, const std::vector< Real > &  z  ) const

inline

Definition at line 419 of file example_08.hpp.

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

apply_adjoint_control_jacobian() [5/5]

template<class Real >

void BurgersFEM< Real >::apply_adjoint_control_jacobian ( std::vector< Real > &  jv, const std::vector< Real > &  v, const std::vector< Real > &  u, const std::vector< Real > &  z  ) const

inline

Definition at line 430 of file example_08.hpp.

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

apply_adjoint_pde_hessian() [5/5]

template<class Real >

void BurgersFEM< Real >::apply_adjoint_pde_hessian ( std::vector< Real > &  ahwv, const std::vector< Real > &  w, const std::vector< Real > &  v, const std::vector< Real > &  u, const std::vector< Real > &  z  ) const

inline

Definition at line 456 of file example_08.hpp.

References BurgersFEM< Real >::nx_.

apply_adjoint_pde_control_hessian() [5/5]

template<class Real >

void BurgersFEM< Real >::apply_adjoint_pde_control_hessian ( std::vector< Real > &  ahwv, const std::vector< Real > &  w, const std::vector< Real > &  v, const std::vector< Real > &  u, const std::vector< Real > &  z  )

inline

Definition at line 473 of file example_08.hpp.

apply_adjoint_control_pde_hessian() [5/5]

template<class Real >

void BurgersFEM< Real >::apply_adjoint_control_pde_hessian ( std::vector< Real > &  ahwv, const std::vector< Real > &  w, const std::vector< Real > &  v, const std::vector< Real > &  u, const std::vector< Real > &  z  )

inline

Definition at line 480 of file example_08.hpp.

apply_adjoint_control_hessian() [5/5]

template<class Real >

void BurgersFEM< Real >::apply_adjoint_control_hessian ( std::vector< Real > &  ahwv, const std::vector< Real > &  w, const std::vector< Real > &  v, const std::vector< Real > &  u, const std::vector< Real > &  z  )

inline

Definition at line 487 of file example_08.hpp.

Member Data Documentation

nx_

template<class Real >

int BurgersFEM< Real >::nx_

private

Definition at line 37 of file test_04.hpp.

Referenced by BurgersFEM< Real >::apply_adjoint_control_jacobian(), BurgersFEM< Real >::apply_adjoint_pde_hessian(), BurgersFEM< Real >::apply_adjoint_pde_jacobian(), BurgersFEM< Real >::apply_control_jacobian(), BurgersFEM< Real >::apply_H1(), BurgersFEM< Real >::apply_inverse_adjoint_pde_jacobian(), BurgersFEM< Real >::apply_inverse_H1(), BurgersFEM< Real >::apply_inverse_mass(), BurgersFEM< Real >::apply_inverse_pde_jacobian(), BurgersFEM< Real >::apply_mass(), BurgersFEM< Real >::apply_pde_jacobian(), BurgersFEM< Real >::compute_H1_dot(), BurgersFEM< Real >::compute_L2_dot(), BurgersFEM< Real >::compute_pde_jacobian(), BurgersFEM< Real >::compute_residual(), BurgersFEM< Real >::num_dof(), BurgersFEM< Real >::test_inverse_H1(), and BurgersFEM< Real >::test_inverse_mass().

dx_

template<class Real >

Real BurgersFEM< Real >::dx_

private

Definition at line 38 of file test_04.hpp.

Referenced by BurgersFEM< Real >::apply_adjoint_control_jacobian(), BurgersFEM< Real >::apply_adjoint_pde_jacobian(), BurgersFEM< Real >::apply_control_jacobian(), BurgersFEM< Real >::apply_H1(), BurgersFEM< Real >::apply_inverse_H1(), BurgersFEM< Real >::apply_inverse_mass(), BurgersFEM< Real >::apply_mass(), BurgersFEM< Real >::apply_pde_jacobian(), BurgersFEM< Real >::compute_H1_dot(), BurgersFEM< Real >::compute_L2_dot(), BurgersFEM< Real >::compute_pde_jacobian(), BurgersFEM< Real >::compute_residual(), and BurgersFEM< Real >::mesh_spacing().

nu_

template<class Real >

Real BurgersFEM< Real >::nu_

private

Definition at line 39 of file test_04.hpp.

Referenced by BurgersFEM< Real >::apply_adjoint_pde_jacobian(), BurgersFEM< Real >::apply_pde_jacobian(), BurgersFEM< Real >::BurgersFEM(), BurgersFEM< Real >::compute_pde_jacobian(), BurgersFEM< Real >::compute_residual(), BurgersFEM< Real >::get_viscosity(), and BurgersFEM< Real >::set_problem_data().

nl_

template<class Real >

Real BurgersFEM< Real >::nl_

private

Definition at line 40 of file test_04.hpp.

Referenced by BurgersFEM< Real >::apply_adjoint_pde_jacobian(), BurgersFEM< Real >::apply_pde_jacobian(), BurgersFEM< Real >::compute_pde_jacobian(), and BurgersFEM< Real >::compute_residual().

u0_

template<class Real >

Real BurgersFEM< Real >::u0_

private

Definition at line 41 of file test_04.hpp.

Referenced by BurgersFEM< Real >::apply_adjoint_pde_jacobian(), BurgersFEM< Real >::apply_pde_jacobian(), BurgersFEM< Real >::BurgersFEM(), BurgersFEM< Real >::compute_pde_jacobian(), BurgersFEM< Real >::compute_residual(), and BurgersFEM< Real >::set_problem_data().

u1_

template<class Real >

Real BurgersFEM< Real >::u1_

private

Definition at line 42 of file test_04.hpp.

Referenced by BurgersFEM< Real >::apply_adjoint_pde_jacobian(), BurgersFEM< Real >::apply_pde_jacobian(), BurgersFEM< Real >::BurgersFEM(), BurgersFEM< Real >::compute_pde_jacobian(), BurgersFEM< Real >::compute_residual(), and BurgersFEM< Real >::set_problem_data().

f_

template<class Real >

Real BurgersFEM< Real >::f_

private

Definition at line 43 of file test_04.hpp.

Referenced by BurgersFEM< Real >::BurgersFEM(), BurgersFEM< Real >::compute_residual(), and BurgersFEM< Real >::set_problem_data().

cH1_

template<class Real >

Real BurgersFEM< Real >::cH1_

private

Definition at line 44 of file test_04.hpp.

Referenced by BurgersFEM< Real >::apply_H1(), BurgersFEM< Real >::apply_inverse_H1(), and BurgersFEM< Real >::compute_H1_dot().

cL2_

template<class Real >

Real BurgersFEM< Real >::cL2_

private

Definition at line 45 of file test_04.hpp.

Referenced by BurgersFEM< Real >::apply_H1(), BurgersFEM< Real >::apply_inverse_H1(), and BurgersFEM< Real >::compute_H1_dot().

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

• test_04.hpp
• example_04.hpp
• example_06.hpp
• example_07.hpp
• example_08.hpp