PHiLiP::TargetFunctional< dim, nstate, real > Class Template Reference

TargetFunctional base class. More...

#include <target_functional.h>

Inheritance diagram for PHiLiP::TargetFunctional< dim, nstate, real >:

Collaboration diagram for PHiLiP::TargetFunctional< dim, nstate, real >:

Public Types
using	FadType = Sacado::Fad::DFad< real >
	Sacado AD type for first derivatives.
using	FadFadType = Sacado::Fad::DFad< FadType >
	Sacado AD type that allows 2nd derivatives.

Public Member Functions
	TargetFunctional (std::shared_ptr< DGBase< dim, real >> dg_input, const bool uses_solution_values=true, const bool uses_solution_gradient=true)
	Constructor. More...
	TargetFunctional (std::shared_ptr< DGBase< dim, real >> dg_input, const dealii::LinearAlgebra::distributed::Vector< real > &target_solution, const bool uses_solution_values=true, const bool uses_solution_gradient=true)
	Constructor. More...
	TargetFunctional (std::shared_ptr< DGBase< dim, real >> dg_input, std::shared_ptr< Physics::PhysicsBase< dim, nstate, Sacado::Fad::DFad< Sacado::Fad::DFad< real >>> > _physics_fad_fad, const bool uses_solution_values=true, const bool uses_solution_gradient=true)
	Constructor. More...
	TargetFunctional (std::shared_ptr< DGBase< dim, real >> dg_input, const dealii::LinearAlgebra::distributed::Vector< real > &target_solution, std::shared_ptr< Physics::PhysicsBase< dim, nstate, Sacado::Fad::DFad< Sacado::Fad::DFad< real >>> > _physics_fad_fad, const bool uses_solution_values=true, const bool uses_solution_gradient=true)
	Constructor. More...
virtual real	evaluate_functional (const bool compute_dIdW=false, const bool compute_dIdX=false, const bool compute_d2I=false) override
	Evaluates the functional derivative with respect to the solution variable. More...
dealii::LinearAlgebra::distributed::Vector< real >	evaluate_dIdw_finiteDifferences (DGBase< dim, real > &dg, const PHiLiP::Physics::PhysicsBase< dim, nstate, real > &physics, const double stepsize)
dealii::LinearAlgebra::distributed::Vector< real >	evaluate_dIdX_finiteDifferences (DGBase< dim, real > &dg, const PHiLiP::Physics::PhysicsBase< dim, nstate, real > &physics, const double stepsize)
Public Member Functions inherited from PHiLiP::Functional< dim, nstate, real >
virtual	~Functional ()=default
	Destructor.
	Functional (std::shared_ptr< PHiLiP::DGBase< dim, real, dealii::parallel::distributed::Triangulation< dim > >> _dg, const bool _uses_solution_values=true, const bool _uses_solution_gradient=true)
	Functional (std::shared_ptr< PHiLiP::DGBase< dim, real, dealii::parallel::distributed::Triangulation< dim > >> _dg, std::shared_ptr< PHiLiP::Physics::PhysicsBase< dim, nstate, Sacado::Fad::DFad< Sacado::Fad::DFad< real >> >> _physics_fad_fad, const bool _uses_solution_values=true, const bool _uses_solution_gradient=true)
void	set_state (const dealii::LinearAlgebra::distributed::Vector< real > &solution_set)
void	set_geom (const dealii::LinearAlgebra::distributed::Vector< real > &volume_nodes_set)
dealii::LinearAlgebra::distributed::Vector< real >	evaluate_dIdw_finiteDifferences (DGBase< dim, real, dealii::parallel::distributed::Triangulation< dim > > &dg, const PHiLiP::Physics::PhysicsBase< dim, nstate, real > &physics, const double stepsize)
dealii::LinearAlgebra::distributed::Vector< real >	evaluate_dIdX_finiteDifferences (DGBase< dim, real, dealii::parallel::distributed::Triangulation< dim > > &dg, const PHiLiP::Physics::PhysicsBase< dim, nstate, real > &physics, const double stepsize)

Protected Member Functions
virtual real	evaluate_volume_cell_functional (const Physics::PhysicsBase< dim, nstate, real > &physics, const std::vector< real > &soln_coeff, const std::vector< real > &target_soln_coeff, const dealii::FESystem< dim > &fe_solution, const std::vector< real > &coords_coeff, const dealii::FESystem< dim > &fe_metric, const dealii::Quadrature< dim > &volume_quadrature) const
	Corresponding real function to evaluate a cell's volume functional.
virtual Sacado::Fad::DFad< Sacado::Fad::DFad< real > >	evaluate_volume_cell_functional (const Physics::PhysicsBase< dim, nstate, Sacado::Fad::DFad< Sacado::Fad::DFad< real >>> &physics_fad_fad, const std::vector< Sacado::Fad::DFad< Sacado::Fad::DFad< real >> > &soln_coeff, const std::vector< real > &target_soln_coeff, const dealii::FESystem< dim > &fe_solution, const std::vector< Sacado::Fad::DFad< Sacado::Fad::DFad< real >> > &coords_coeff, const dealii::FESystem< dim > &fe_metric, const dealii::Quadrature< dim > &volume_quadrature) const
	Corresponding FadFadType function to evaluate a cell's volume functional.
virtual real	evaluate_boundary_cell_functional (const Physics::PhysicsBase< dim, nstate, real > &physics, const unsigned int boundary_id, const std::vector< real > &soln_coeff, const std::vector< real > &target_soln_coeff, const dealii::FESystem< dim > &fe_solution, const std::vector< real > &coords_coeff, const dealii::FESystem< dim > &fe_metric, const dealii::Quadrature< dim-1 > &face_quadrature, const unsigned int face_number) const
	Corresponding real function to evaluate a cell's face functional.
virtual Sacado::Fad::DFad< Sacado::Fad::DFad< real > >	evaluate_boundary_cell_functional (const Physics::PhysicsBase< dim, nstate, Sacado::Fad::DFad< Sacado::Fad::DFad< real >>> &physics_fad_fad, const unsigned int boundary_id, const std::vector< Sacado::Fad::DFad< Sacado::Fad::DFad< real >> > &soln_coeff, const std::vector< real > &target_soln_coeff, const dealii::FESystem< dim > &fe_solution, const std::vector< Sacado::Fad::DFad< Sacado::Fad::DFad< real >> > &coords_coeff, const dealii::FESystem< dim > &fe_metric, const dealii::Quadrature< dim-1 > &face_quadrature, const unsigned int face_number) const
	Corresponding FadFadType function to evaluate a cell's face functional.
virtual real	evaluate_volume_integrand (const PHiLiP::Physics::PhysicsBase< dim, nstate, real > &, const dealii::Point< dim, real > &, const std::array< real, nstate > &soln_at_q, const std::array< real, nstate > &target_soln_at_q, const std::array< dealii::Tensor< 1, dim, real >, nstate > &, const std::array< dealii::Tensor< 1, dim, real >, nstate > &) const
	Virtual function for computation of cell volume functional term. More...
virtual FadFadType	evaluate_volume_integrand (const PHiLiP::Physics::PhysicsBase< dim, nstate, FadFadType > &, const dealii::Point< dim, FadFadType > &, const std::array< FadFadType, nstate > &soln_at_q, const std::array< real, nstate > &target_soln_at_q, const std::array< dealii::Tensor< 1, dim, FadFadType >, nstate > &, const std::array< dealii::Tensor< 1, dim, FadFadType >, nstate > &) const
	Virtual function for Sacado computation of cell volume functional term and derivatives. More...
virtual real	evaluate_boundary_integrand (const PHiLiP::Physics::PhysicsBase< dim, nstate, real > &, const unsigned int, const dealii::Point< dim, real > &, const dealii::Tensor< 1, dim, real > &, const std::array< real, nstate > &soln_at_q, const std::array< real, nstate > &target_soln_at_q, const std::array< dealii::Tensor< 1, dim, real >, nstate > &, const std::array< dealii::Tensor< 1, dim, real >, nstate > &) const
	Virtual function for computation of cell face functional term. More...
virtual FadFadType	evaluate_boundary_integrand (const PHiLiP::Physics::PhysicsBase< dim, nstate, FadFadType > &, const unsigned int, const dealii::Point< dim, FadFadType > &, const dealii::Tensor< 1, dim, FadFadType > &, const std::array< FadFadType, nstate > &soln_at_q, const std::array< real, nstate > &target_soln_at_q, const std::array< dealii::Tensor< 1, dim, FadFadType >, nstate > &, const std::array< dealii::Tensor< 1, dim, FadFadType >, nstate > &) const
	Virtual function for Sacado computation of cell face functional term and derivatives. More...
Protected Member Functions inherited from PHiLiP::Functional< dim, nstate, real >
void	allocate_derivatives (const bool compute_dIdW, const bool compute_dIdX, const bool compute_d2I)
	Allocate and setup the derivative vectors/matrices. More...
void	allocate_dIdX (dealii::LinearAlgebra::distributed::Vector< real > &dIdX) const
	Allocate and setup the derivative dIdX vector. More...
void	set_derivatives (const bool compute_dIdW, const bool compute_dIdX, const bool compute_d2I, const Sacado::Fad::DFad< Sacado::Fad::DFad< real >> volume_local_sum, std::vector< dealii::types::global_dof_index > cell_soln_dofs_indices, std::vector< dealii::types::global_dof_index > cell_metric_dofs_indices)
	Set the derivative vectors/matrices. More...
void	need_compute (bool &compute_value, bool &compute_dIdW, bool &compute_dIdX, bool &compute_d2I)
	Checks which derivatives actually need to be recomputed. More...
real2	evaluate_volume_cell_functional (const Physics::PhysicsBase< dim, nstate, real2 > &physics, const std::vector< real2 > &soln_coeff, const dealii::FESystem< dim > &fe_solution, const std::vector< real2 > &coords_coeff, const dealii::FESystem< dim > &fe_metric, const dealii::Quadrature< dim > &volume_quadrature) const
	Templated function to evaluate a cell's volume functional.
virtual real	evaluate_volume_cell_functional (const Physics::PhysicsBase< dim, nstate, real > &physics, const std::vector< real > &soln_coeff, const dealii::FESystem< dim > &fe_solution, const std::vector< real > &coords_coeff, const dealii::FESystem< dim > &fe_metric, const dealii::Quadrature< dim > &volume_quadrature) const
	Corresponding real function to evaluate a cell's volume functional.
virtual Sacado::Fad::DFad< Sacado::Fad::DFad< real > >	evaluate_volume_cell_functional (const Physics::PhysicsBase< dim, nstate, Sacado::Fad::DFad< Sacado::Fad::DFad< real >>> &physics_fad_fad, const std::vector< Sacado::Fad::DFad< Sacado::Fad::DFad< real >> > &soln_coeff, const dealii::FESystem< dim > &fe_solution, const std::vector< Sacado::Fad::DFad< Sacado::Fad::DFad< real >> > &coords_coeff, const dealii::FESystem< dim > &fe_metric, const dealii::Quadrature< dim > &volume_quadrature) const
	Corresponding FadFadType function to evaluate a cell's volume functional.
real2	evaluate_boundary_cell_functional (const Physics::PhysicsBase< dim, nstate, real2 > &physics, const unsigned int boundary_id, const std::vector< real2 > &soln_coeff, const dealii::FESystem< dim > &fe_solution, const std::vector< real2 > &coords_coeff, const dealii::FESystem< dim > &fe_metric, const unsigned int face_number, const dealii::Quadrature< dim-1 > &face_quadrature) const
	Templated function to evaluate a cell's boundary functional. More...
virtual real	evaluate_boundary_cell_functional (const Physics::PhysicsBase< dim, nstate, real > &physics, const unsigned int boundary_id, const std::vector< real > &soln_coeff, const dealii::FESystem< dim > &fe_solution, const std::vector< real > &coords_coeff, const dealii::FESystem< dim > &fe_metric, const unsigned int face_number, const dealii::Quadrature< dim-1 > &face_quadrature) const
	Corresponding real function to evaluate a cell's boundary functional.
virtual Sacado::Fad::DFad< Sacado::Fad::DFad< real > >	evaluate_boundary_cell_functional (const Physics::PhysicsBase< dim, nstate, Sacado::Fad::DFad< Sacado::Fad::DFad< real >>> &physics_fad_fad, const unsigned int boundary_id, const std::vector< Sacado::Fad::DFad< Sacado::Fad::DFad< real >> > &soln_coeff, const dealii::FESystem< dim > &fe_solution, const std::vector< Sacado::Fad::DFad< Sacado::Fad::DFad< real >> > &coords_coeff, const dealii::FESystem< dim > &fe_metric, const unsigned int face_number, const dealii::Quadrature< dim-1 > &face_quadrature) const
	Corresponding FadFadType function to evaluate a cell's boundary functional.
virtual real	evaluate_volume_integrand (const PHiLiP::Physics::PhysicsBase< dim, nstate, real > &, const dealii::Point< dim, real > &, const std::array< real, nstate > &, const std::array< dealii::Tensor< 1, dim, real >, nstate > &) const
	Virtual function for computation of cell volume functional term. More...
virtual FadFadType	evaluate_volume_integrand (const PHiLiP::Physics::PhysicsBase< dim, nstate, FadFadType > &, const dealii::Point< dim, FadFadType > &, const std::array< FadFadType, nstate > &, const std::array< dealii::Tensor< 1, dim, FadFadType >, nstate > &) const
	Virtual function for Sacado computation of cell volume functional term and derivatives. More...
virtual real	evaluate_boundary_integrand (const PHiLiP::Physics::PhysicsBase< dim, nstate, real > &, const unsigned int, const dealii::Point< dim, real > &, const dealii::Tensor< 1, dim, real > &, const std::array< real, nstate > &, const std::array< dealii::Tensor< 1, dim, real >, nstate > &) const
	Virtual function for computation of cell boundary functional term. More...
virtual FadFadType	evaluate_boundary_integrand (const PHiLiP::Physics::PhysicsBase< dim, nstate, FadFadType > &, const unsigned int, const dealii::Point< dim, FadFadType > &, const dealii::Tensor< 1, dim, FadFadType > &, const std::array< FadFadType, nstate > &, const std::array< dealii::Tensor< 1, dim, FadFadType >, nstate > &) const
	Virtual function for Sacado computation of cell boundary functional term and derivatives. More...

Protected Attributes
const dealii::LinearAlgebra::distributed::Vector< real >	target_solution
	Solution used to evaluate target functional.
Protected Attributes inherited from PHiLiP::Functional< dim, nstate, real >
std::shared_ptr< Physics::PhysicsBase< dim, nstate, FadFadType > >	physics_fad_fad
	Physics that should correspond to the one in DGBase.
const dealii::UpdateFlags	volume_update_flags
	Update flags needed at volume points.
const dealii::UpdateFlags	face_update_flags
	Update flags needed at face points.
const bool	uses_solution_values
	Will evaluate solution values at quadrature points.
const bool	uses_solution_gradient
	Will evaluate solution gradient at quadrature points.
dealii::ConditionalOStream	pcout
	Parallel std::cout that only outputs on mpi_rank==0.

Private Member Functions
template<typename real2 >
real2	evaluate_volume_cell_functional (const Physics::PhysicsBase< dim, nstate, real2 > &physics, const std::vector< real2 > &soln_coeff, const std::vector< real > &target_soln_coeff, const dealii::FESystem< dim > &fe_solution, const std::vector< real2 > &coords_coeff, const dealii::FESystem< dim > &fe_metric, const dealii::Quadrature< dim > &volume_quadrature) const
	Templated function to evaluate a cell's volume functional.
template<typename real2 >
real2	evaluate_boundary_cell_functional (const Physics::PhysicsBase< dim, nstate, real2 > &physics, const unsigned int boundary_id, const std::vector< real2 > &soln_coeff, const std::vector< real > &target_soln_coeff, const dealii::FESystem< dim > &fe_solution, const std::vector< real2 > &coords_coeff, const dealii::FESystem< dim > &fe_metric, const dealii::Quadrature< dim-1 > &face_quadrature, const unsigned int face_number) const
	Templated function to evaluate a cell's face functional.

Additional Inherited Members
Public Attributes inherited from PHiLiP::Functional< dim, nstate, real >
std::shared_ptr< DGBase< dim, real, dealii::parallel::distributed::Triangulation< dim > > >	dg
	Smart pointer to DGBase.
real	current_functional_value
	Store the functional value from the last time evaluate_functional() was called.
dealii::LinearAlgebra::distributed::Vector< real >	dIdw
	Vector for storing the derivatives with respect to each solution DoF.
dealii::LinearAlgebra::distributed::Vector< real >	dIdX
	Vector for storing the derivatives with respect to each grid DoF.
std::shared_ptr< dealii::TrilinosWrappers::SparseMatrix >	d2IdWdW
	Sparse matrix for storing the functional partial second derivatives.
std::shared_ptr< dealii::TrilinosWrappers::SparseMatrix >	d2IdWdX
	Sparse matrix for storing the functional partial second derivatives.
std::shared_ptr< dealii::TrilinosWrappers::SparseMatrix >	d2IdXdX
	Sparse matrix for storing the functional partial second derivatives.

Detailed Description

template<int dim, int nstate, typename real>
class PHiLiP::TargetFunctional< dim, nstate, real >

TargetFunctional base class.

This base class is used to compute an inverse functional involving integration over the discretized volume and boundary of the domain. It differs from the Functional class by storing a target solution and having default volume and surface integrals corresponding to the L2-norm of the solution difference.

Often this is written in the form

\[ \mathcal{J}\left( \mathbf{u} \right) = \int_{\Omega} \left( p_{\Omega} \left( \mathbf{u} \right) - g_{\Omega} \left( \mathbf{u}_t \right) \right)^2 \mathrm{d} \Omega + \int_{\Gamma} \left( p_{\Gamma} \left( \mathbf{u} \right) - g_{\Gamma} \left( \mathbf{u}_t \right) \right)^2 \mathrm{d} \Gamma \]

where the cellwise or boundary edgewise functions \( g_{\Omega} \left( \mathbf{u} \right) \) and \( g_{\Gamma} \left( \mathbf{u} \right) \) are to be overridden in the derived class. Also computes the functional derivatives which are involved in the computation of the adjoint. If derivatives are needed, the Sacado versions of these functions must also be defined.

Definition at line 44 of file target_functional.h.

Constructor & Destructor Documentation

TargetFunctional() [1/4]

template<int dim, int nstate, typename real >

PHiLiP::TargetFunctional< dim, nstate, real >::TargetFunctional	(	std::shared_ptr< DGBase< dim, real >>	dg_input,
		const bool	uses_solution_values = true,
		const bool	uses_solution_gradient = true
	)

Constructor.

The target solution is initialized with the one currently within DGBase. Since we don't have access to the Physics through DGBase, we recreate a Physics based on the parameter file of DGBase. However, this will not work if the physics have been overriden through DGWeak::set_physics() as seen in the diffusion_exact_adjoint test case.

Definition at line 51 of file target_functional.cpp.

TargetFunctional() [2/4]

template<int dim, int nstate, typename real >

PHiLiP::TargetFunctional< dim, nstate, real >::TargetFunctional	(	std::shared_ptr< DGBase< dim, real >>	dg_input,
		const dealii::LinearAlgebra::distributed::Vector< real > &	target_solution,
		const bool	uses_solution_values = true,
		const bool	uses_solution_gradient = true
	)

Constructor.

The target solution is provided instead of using the current solution in the DG object. Since we don't have access to the Physics through DGBase, we recreate a Physics based on the parameter file of DGBase. However, this will not work if the physics have been overriden through DGWeak::set_physics() as seen in the diffusion_exact_adjoint test case.

Definition at line 64 of file target_functional.cpp.

TargetFunctional() [3/4]

template<int dim, int nstate, typename real >

PHiLiP::TargetFunctional< dim, nstate, real >::TargetFunctional	(	std::shared_ptr< DGBase< dim, real >>	dg_input,
		std::shared_ptr< Physics::PhysicsBase< dim, nstate, Sacado::Fad::DFad< Sacado::Fad::DFad< real >>> >	_physics_fad_fad,
		const bool	uses_solution_values = true,
		const bool	uses_solution_gradient = true
	)

Constructor.

Uses provided physics instead of creating a new one base on DGBase. The target solution is initialized with the one currently within DGBase.

Definition at line 79 of file target_functional.cpp.

TargetFunctional() [4/4]

template<int dim, int nstate, typename real >

PHiLiP::TargetFunctional< dim, nstate, real >::TargetFunctional	(	std::shared_ptr< DGBase< dim, real >>	dg_input,
		const dealii::LinearAlgebra::distributed::Vector< real > &	target_solution,
		std::shared_ptr< Physics::PhysicsBase< dim, nstate, Sacado::Fad::DFad< Sacado::Fad::DFad< real >>> >	_physics_fad_fad,
		const bool	uses_solution_values = true,
		const bool	uses_solution_gradient = true
	)

Constructor.

Uses provided physics instead of creating a new one base on DGBase The target solution is provided instead of using the current solution in the DG object.

Definition at line 89 of file target_functional.cpp.

Member Function Documentation

evaluate_boundary_integrand() [1/2]

template<int dim, int nstate, typename real >

virtual real PHiLiP::TargetFunctional< dim, nstate, real >::evaluate_boundary_integrand ( const PHiLiP::Physics::PhysicsBase< dim, nstate, real > &  , const unsigned int  , const dealii::Point< dim, real > &  , const dealii::Tensor< 1, dim, real > &  , const std::array< real, nstate > &  soln_at_q, const std::array< real, nstate > &  target_soln_at_q, const std::array< dealii::Tensor< 1, dim, real >, nstate > &  , const std::array< dealii::Tensor< 1, dim, real >, nstate > &    ) const

inlineprotectedvirtual

Virtual function for computation of cell face functional term.

Used only in the computation of evaluate_function(). If not overriden returns 0.

Reimplemented in PHiLiP::TargetWallPressure< dim, nstate, real >.

Definition at line 290 of file target_functional.h.

evaluate_boundary_integrand() [2/2]

template<int dim, int nstate, typename real >

virtual FadFadType PHiLiP::TargetFunctional< dim, nstate, real >::evaluate_boundary_integrand ( const PHiLiP::Physics::PhysicsBase< dim, nstate, FadFadType > &  , const unsigned int  , const dealii::Point< dim, FadFadType > &  , const dealii::Tensor< 1, dim, FadFadType > &  , const std::array< FadFadType, nstate > &  soln_at_q, const std::array< real, nstate > &  target_soln_at_q, const std::array< dealii::Tensor< 1, dim, FadFadType >, nstate > &  , const std::array< dealii::Tensor< 1, dim, FadFadType >, nstate > &    ) const

inlineprotectedvirtual

Virtual function for Sacado computation of cell face functional term and derivatives.

Used only in the computation of evaluate_dIdw(). If not overriden returns 0.

Reimplemented in PHiLiP::TargetWallPressure< dim, nstate, real >.

Definition at line 309 of file target_functional.h.

evaluate_dIdw_finiteDifferences()

template<int dim, int nstate, typename real >

dealii::LinearAlgebra::distributed::Vector< real > PHiLiP::TargetFunctional< dim, nstate, real >::evaluate_dIdw_finiteDifferences	(	PHiLiP::DGBase< dim, real > &	dg,
		const PHiLiP::Physics::PhysicsBase< dim, nstate, real > &	physics,
		const double	stepsize
	)

Finite difference evaluation of dIdW.

Definition at line 463 of file target_functional.cpp.

evaluate_dIdX_finiteDifferences()

template<int dim, int nstate, typename real >

dealii::LinearAlgebra::distributed::Vector< real > PHiLiP::TargetFunctional< dim, nstate, real >::evaluate_dIdX_finiteDifferences	(	PHiLiP::DGBase< dim, real > &	dg,
		const PHiLiP::Physics::PhysicsBase< dim, nstate, real > &	physics,
		const double	stepsize
	)

Finite difference evaluation of dIdX.

Definition at line 580 of file target_functional.cpp.

evaluate_functional()

template<int dim, int nstate, typename real >

real PHiLiP::TargetFunctional< dim, nstate, real >::evaluate_functional ( const bool  compute_dIdW = false, const bool  compute_dIdX = false, const bool  compute_d2I = false  )

overridevirtual

Evaluates the functional derivative with respect to the solution variable.

Loops over the discretized domain and determines the sensitivity of the functional value to each solution node. Computed from

\[ \left. \frac{\partial \mathcal{J}_h}{\partial \mathbf{u}} \right|_{\mathbf{u}_h} = \sum_{k=1}^{N_e} \left. \frac{\partial}{\partial \mathbf{u}} \int_{\Omega_h^k} g_{\Omega} \left( \mathbf{u}_h^k \right) \mathrm{d} \Omega \right|_{\mathbf{u}_h} + \sum_{k=1}^{N_b} \left. \frac{\partial}{\partial \mathbf{u}} \int_{\Gamma_h^k} g_{\Gamma} \left( \mathbf{u}_h^k \right) \mathrm{d} \Gamma \right|_{\mathbf{u}_h} \]

Calls the functions evaluate_volume_integrand() and evaluate_cell_boundary() to be overridden

Reimplemented from PHiLiP::Functional< dim, nstate, real >.

Reimplemented in PHiLiP::TargetWallPressure< dim, nstate, real >.

Definition at line 313 of file target_functional.cpp.

evaluate_volume_integrand() [1/2]

template<int dim, int nstate, typename real >

virtual real PHiLiP::TargetFunctional< dim, nstate, real >::evaluate_volume_integrand ( const PHiLiP::Physics::PhysicsBase< dim, nstate, real > &  , const dealii::Point< dim, real > &  , const std::array< real, nstate > &  soln_at_q, const std::array< real, nstate > &  target_soln_at_q, const std::array< dealii::Tensor< 1, dim, real >, nstate > &  , const std::array< dealii::Tensor< 1, dim, real >, nstate > &    ) const

inlineprotectedvirtual

Virtual function for computation of cell volume functional term.

Used only in the computation of evaluate_function(). If not overriden returns 0.

Reimplemented in PHiLiP::Tests::BoundaryInverseTarget< dim, nstate, real >, PHiLiP::TargetWallPressure< dim, nstate, real >, and PHiLiP::TargetBoundaryFunctional< dim, nstate, real >.

Definition at line 255 of file target_functional.h.

evaluate_volume_integrand() [2/2]

template<int dim, int nstate, typename real >

virtual FadFadType PHiLiP::TargetFunctional< dim, nstate, real >::evaluate_volume_integrand ( const PHiLiP::Physics::PhysicsBase< dim, nstate, FadFadType > &  , const dealii::Point< dim, FadFadType > &  , const std::array< FadFadType, nstate > &  soln_at_q, const std::array< real, nstate > &  target_soln_at_q, const std::array< dealii::Tensor< 1, dim, FadFadType >, nstate > &  , const std::array< dealii::Tensor< 1, dim, FadFadType >, nstate > &    ) const

inlineprotectedvirtual

Virtual function for Sacado computation of cell volume functional term and derivatives.

Used only in the computation of evaluate_dIdw(). If not overriden returns 0.

Reimplemented in PHiLiP::Tests::BoundaryInverseTarget< dim, nstate, real >, PHiLiP::TargetWallPressure< dim, nstate, real >, and PHiLiP::TargetBoundaryFunctional< dim, nstate, real >.

Definition at line 273 of file target_functional.h.

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

• src/functional/target_functional.h
• src/functional/target_functional.cpp