Class representing the DPG weak formulation for complex valued systems (see the class DPGWeakForm). More...

#include <complexweakform.hpp>

Inheritance diagram for mfem::ComplexDPGWeakForm:

Collaboration diagram for mfem::ComplexDPGWeakForm:

Public Member Functions
	ComplexDPGWeakForm ()

	ComplexDPGWeakForm (Array< FiniteElementSpace * > &fes_, Array< FiniteElementCollection * > &fecol_)
	Creates bilinear form associated with FE spaces fes_.

void	SetTestFECollVdim (int test_fec, int vdim)

void	SetSpaces (Array< FiniteElementSpace * > &fes_, Array< FiniteElementCollection * > &fecol_)

int	Size () const

void	AllocateMatrix ()

void	Finalize (int skip_zeros=1)
	Finalizes the matrix initialization.

BlockMatrix &	BlockMat_r ()
	Returns a reference to the BlockMatrix: \( M_r \).

BlockMatrix &	BlockMat_i ()
	Returns a reference to the BlockMatrix: \( M_i \).

BlockMatrix &	BlockMatElim_r ()
	Returns a reference to the BlockMatrix of eliminated b.c.: \( M_e_r \).

BlockMatrix &	BlockMatElim_i ()
	Returns a reference to the BlockMatrix of eliminated b.c.: \( M_e_i \).

void	AddTrialIntegrator (BilinearFormIntegrator bfi_r, BilinearFormIntegrator bfi_i, int n, int m)
	Adds new Domain BF Integrator. Assumes ownership of bfi.

void	AddTestIntegrator (BilinearFormIntegrator bfi_r, BilinearFormIntegrator bfi_i, int n, int m)
	Adds new Test Integrator. Assumes ownership of bfi_r and bfi_i.

void	AddDomainLFIntegrator (LinearFormIntegrator lfi_r, LinearFormIntegrator lfi_i, int n)
	Adds new Domain LF Integrator. Assumes ownership of lfi_r and lfi_i.

void	Assemble (int skip_zeros=1)
	Assembles the form i.e. sums over all integrators.

virtual void	FormLinearSystem (const Array< int > &ess_tdof_list, Vector &x, OperatorHandle &A, Vector &X, Vector &B, int copy_interior=0)

template<typename OpType >
void	FormLinearSystem (const Array< int > &ess_tdof_list, Vector &x, OpType &A, Vector &X, Vector &B, int copy_interior=0)

virtual void	FormSystemMatrix (const Array< int > &ess_tdof_list, OperatorHandle &A)

template<typename OpType >
void	FormSystemMatrix (const Array< int > &ess_tdof_list, OpType &A)

void	EliminateVDofs (const Array< int > &vdofs, Operator::DiagonalPolicy dpolicy=Operator::DIAG_ONE)

void	EliminateVDofsInRHS (const Array< int > &vdofs, const Vector &x_r, const Vector &x_i, Vector &b_r, Vector &b_i)

virtual void	RecoverFEMSolution (const Vector &X, Vector &x)

void	SetDiagonalPolicy (Operator::DiagonalPolicy policy)
	Sets diagonal policy used upon construction of the linear system.

virtual void	Update ()

void	StoreMatrices (bool store_matrices_=true)

void	EnableStaticCondensation ()

Vector &	ComputeResidual (const Vector &x)

virtual	~ComplexDPGWeakForm ()
	Destroys bilinear form.

Protected Member Functions
void	Init ()

void	ReleaseInitMemory ()

void	AllocMat ()

void	ConformingAssemble ()

void	ComputeOffsets ()

virtual void	BuildProlongation ()

Protected Attributes
ComplexBlockStaticCondensation *	static_cond
	Owned.

bool	initialized = false

Mesh *	mesh = nullptr

int	height

int	width

int	nblocks

Array< int >	dof_offsets

Array< int >	tdof_offsets

BlockMatrix *	mat_r = nullptr
	Block matrix \( M \) to be associated with the real/imag Block bilinear form. Owned.

BlockMatrix *	mat_i = nullptr

ComplexOperator *	mat = nullptr

BlockVector *	y_r = nullptr
	BlockVectors to be associated with the real/imag Block linear form.

BlockVector *	y_i = nullptr

Vector *	y = nullptr

BlockMatrix *	mat_e_r = nullptr
	Block Matrix \( M_e \) used to store the eliminations from the b.c. Owned. \( M + M_e = M_{original} \).

BlockMatrix *	mat_e_i = nullptr

Array< FiniteElementSpace * >	trial_fes
	Trial FE spaces.

Array< int >	IsTraceFes
	Flags to determine if a FiniteElementSpace is Trace.

Array< FiniteElementCollection * >	test_fecols
	Test FE Collections (Broken)

Array< int >	test_fecols_vdims

Array2D< Array< BilinearFormIntegrator * > * >	trial_integs_r
	Set of Trial Integrators to be applied for matrix B.

Array2D< Array< BilinearFormIntegrator * > * >	trial_integs_i

Array2D< Array< BilinearFormIntegrator * > * >	test_integs_r
	Set of Test Space (broken) Integrators to be applied for matrix G.

Array2D< Array< BilinearFormIntegrator * > * >	test_integs_i

Array< Array< LinearFormIntegrator * > * >	lfis_r
	Set of LinearForm Integrators to be applied.

Array< Array< LinearFormIntegrator * > * >	lfis_i

BlockMatrix *	P = nullptr
	Block Prolongation.

BlockMatrix *	R = nullptr
	Block Restriction.

mfem::Operator::DiagonalPolicy	diag_policy

bool	store_matrices = false

Array< ComplexDenseMatrix * >	Bmat

Array< Vector * >	fvec

Vector	residuals

Detailed Description

Class representing the DPG weak formulation for complex valued systems (see the class DPGWeakForm).

Definition at line 23 of file complexweakform.hpp.

Constructor & Destructor Documentation

◆ ComplexDPGWeakForm() [1/2]

mfem::ComplexDPGWeakForm::ComplexDPGWeakForm ( )

inline

Definition at line 107 of file complexweakform.hpp.

◆ ComplexDPGWeakForm() [2/2]

mfem::ComplexDPGWeakForm::ComplexDPGWeakForm	(	Array< FiniteElementSpace * > &	fes_,
		Array< FiniteElementCollection * > &	fecol_
	)

inline

Creates bilinear form associated with FE spaces fes_.

Definition at line 114 of file complexweakform.hpp.

◆ ~ComplexDPGWeakForm()

mfem::ComplexDPGWeakForm::~ComplexDPGWeakForm ( )

virtual

Destroys bilinear form.

Definition at line 1024 of file complexweakform.cpp.

Member Function Documentation

◆ AddDomainLFIntegrator()

void mfem::ComplexDPGWeakForm::AddDomainLFIntegrator	(	LinearFormIntegrator *	lfi_r,
		LinearFormIntegrator *	lfi_i,
		int	n
	)

Adds new Domain LF Integrator. Assumes ownership of lfi_r and lfi_i.

Adds new Domain LF Integrator. Assumes ownership of bfi.

Definition at line 162 of file complexweakform.cpp.

◆ AddTestIntegrator()

void mfem::ComplexDPGWeakForm::AddTestIntegrator	(	BilinearFormIntegrator *	bfi_r,
		BilinearFormIntegrator *	bfi_i,
		int	n,
		int	m
	)

Adds new Test Integrator. Assumes ownership of bfi_r and bfi_i.

Adds new Domain BF Integrator. Assumes ownership of bfi.

Definition at line 144 of file complexweakform.cpp.

◆ AddTrialIntegrator()

void mfem::ComplexDPGWeakForm::AddTrialIntegrator	(	BilinearFormIntegrator *	bfi_r,
		BilinearFormIntegrator *	bfi_i,
		int	n,
		int	m
	)

Adds new Domain BF Integrator. Assumes ownership of bfi.

Adds new Trial Integrator. Assumes ownership of bfi_r and bfi_i. n and m correspond to the trial FESpace and test FEColl respectively

Definition at line 124 of file complexweakform.cpp.

◆ AllocateMatrix()

void mfem::ComplexDPGWeakForm::AllocateMatrix ( )

inline

Definition at line 152 of file complexweakform.hpp.

◆ AllocMat()

void mfem::ComplexDPGWeakForm::AllocMat ( )

protected

Definition at line 83 of file complexweakform.cpp.

◆ Assemble()

void mfem::ComplexDPGWeakForm::Assemble ( int skip_zeros = 1 )

Assembles the form i.e. sums over all integrators.

Assembles the form i.e. sums over all domain integrators.

Definition at line 318 of file complexweakform.cpp.

◆ BlockMat_i()

BlockMatrix & mfem::ComplexDPGWeakForm::BlockMat_i ( )

inline

Returns a reference to the BlockMatrix: \( M_i \).

Definition at line 164 of file complexweakform.hpp.

◆ BlockMat_r()

BlockMatrix & mfem::ComplexDPGWeakForm::BlockMat_r ( )

inline

Returns a reference to the BlockMatrix: \( M_r \).

Definition at line 158 of file complexweakform.hpp.

◆ BlockMatElim_i()

BlockMatrix & mfem::ComplexDPGWeakForm::BlockMatElim_i ( )

inline

Returns a reference to the BlockMatrix of eliminated b.c.: \( M_e_i \).

Definition at line 178 of file complexweakform.hpp.

◆ BlockMatElim_r()

BlockMatrix & mfem::ComplexDPGWeakForm::BlockMatElim_r ( )

inline

Returns a reference to the BlockMatrix of eliminated b.c.: \( M_e_r \).

Definition at line 171 of file complexweakform.hpp.

◆ BuildProlongation()

void mfem::ComplexDPGWeakForm::BuildProlongation ( )

protectedvirtual

Reimplemented in mfem::ParComplexDPGWeakForm.

Definition at line 178 of file complexweakform.cpp.

◆ ComputeOffsets()

void mfem::ComplexDPGWeakForm::ComputeOffsets ( )

protected

Definition at line 67 of file complexweakform.cpp.

◆ ComputeResidual()

Vector & mfem::ComplexDPGWeakForm::ComputeResidual ( const Vector & x )

Definition at line 924 of file complexweakform.cpp.

◆ ConformingAssemble()

void mfem::ComplexDPGWeakForm::ConformingAssemble ( )

protected

Definition at line 196 of file complexweakform.cpp.

◆ EliminateVDofs()

void mfem::ComplexDPGWeakForm::EliminateVDofs	(	const Array< int > &	vdofs,
		Operator::DiagonalPolicy	dpolicy = `Operator::DIAG_ONE`
	)

Definition at line 740 of file complexweakform.cpp.

◆ EliminateVDofsInRHS()

void mfem::ComplexDPGWeakForm::EliminateVDofsInRHS	(	const Array< int > &	vdofs,
		const Vector &	x_r,
		const Vector &	x_i,
		Vector &	b_r,
		Vector &	b_i
	)

Definition at line 727 of file complexweakform.cpp.

◆ EnableStaticCondensation()

void mfem::ComplexDPGWeakForm::EnableStaticCondensation ( )

Definition at line 918 of file complexweakform.cpp.

◆ Finalize()

void mfem::ComplexDPGWeakForm::Finalize ( int skip_zeros = 1 )

Finalizes the matrix initialization.

Definition at line 108 of file complexweakform.cpp.

◆ FormLinearSystem() [1/2]

void mfem::ComplexDPGWeakForm::FormLinearSystem	(	const Array< int > &	ess_tdof_list,
		Vector &	x,
		OperatorHandle &	A,
		Vector &	X,
		Vector &	B,
		int	copy_interior = `0`
	)

virtual

Reimplemented in mfem::ParComplexDPGWeakForm.

Definition at line 613 of file complexweakform.cpp.

◆ FormLinearSystem() [2/2]

template<typename OpType >

void mfem::ComplexDPGWeakForm::FormLinearSystem	(	const Array< int > &	ess_tdof_list,
		Vector &	x,
		OpType &	A,
		Vector &	X,
		Vector &	B,
		int	copy_interior = `0`
	)

inline

Definition at line 210 of file complexweakform.hpp.

◆ FormSystemMatrix() [1/2]

void mfem::ComplexDPGWeakForm::FormSystemMatrix	(	const Array< int > &	ess_tdof_list,
		OperatorHandle &	A
	)

virtual

Reimplemented in mfem::ParComplexDPGWeakForm.

Definition at line 690 of file complexweakform.cpp.

◆ FormSystemMatrix() [2/2]

template<typename OpType >

void mfem::ComplexDPGWeakForm::FormSystemMatrix	(	const Array< int > &	ess_tdof_list,
		OpType &	A
	)

inline

Definition at line 226 of file complexweakform.hpp.

◆ Init()

void mfem::ComplexDPGWeakForm::Init ( )

protected

Definition at line 17 of file complexweakform.cpp.

◆ RecoverFEMSolution()

void mfem::ComplexDPGWeakForm::RecoverFEMSolution	(	const Vector &	X,
		Vector &	x
	)

virtual

Reimplemented in mfem::ParComplexDPGWeakForm.

Definition at line 768 of file complexweakform.cpp.

◆ ReleaseInitMemory()

void mfem::ComplexDPGWeakForm::ReleaseInitMemory ( )

protected

Definition at line 807 of file complexweakform.cpp.

◆ SetDiagonalPolicy()

void mfem::ComplexDPGWeakForm::SetDiagonalPolicy ( Operator::DiagonalPolicy policy )

inline

Sets diagonal policy used upon construction of the linear system.

Policies include:

DIAG_ZERO (Set the diagonal values to zero)
DIAG_ONE (Set the diagonal values to one)
DIAG_KEEP (Keep the diagonal values)

Definition at line 250 of file complexweakform.hpp.

◆ SetSpaces()

void mfem::ComplexDPGWeakForm::SetSpaces	(	Array< FiniteElementSpace * > &	fes_,
		Array< FiniteElementCollection * > &	fecol_
	)

inline

Definition at line 125 of file complexweakform.hpp.

◆ SetTestFECollVdim()

void mfem::ComplexDPGWeakForm::SetTestFECollVdim	(	int	test_fec,
		int	vdim
	)

inline

Definition at line 120 of file complexweakform.hpp.

◆ Size()

int mfem::ComplexDPGWeakForm::Size ( ) const

inline

Definition at line 149 of file complexweakform.hpp.

◆ StoreMatrices()

void mfem::ComplexDPGWeakForm::StoreMatrices ( bool store_matrices_ = true )

inline

Definition at line 257 of file complexweakform.hpp.

◆ Update()

void mfem::ComplexDPGWeakForm::Update ( )

virtual

Reimplemented in mfem::ParComplexDPGWeakForm.

Definition at line 867 of file complexweakform.cpp.

Member Data Documentation

◆ Bmat

Array<ComplexDenseMatrix * > mfem::ComplexDPGWeakForm::Bmat

protected

Store the matrix L^-1 B and Vector L^-1 l where G = L L^t

Definition at line 99 of file complexweakform.hpp.

◆ diag_policy

mfem::Operator::DiagonalPolicy mfem::ComplexDPGWeakForm::diag_policy

protected

Definition at line 81 of file complexweakform.hpp.

◆ dof_offsets

Array<int> mfem::ComplexDPGWeakForm::dof_offsets

protected

Definition at line 35 of file complexweakform.hpp.

◆ fvec

Array<Vector * > mfem::ComplexDPGWeakForm::fvec

protected

Definition at line 100 of file complexweakform.hpp.

◆ height

int mfem::ComplexDPGWeakForm::height

protected

Definition at line 33 of file complexweakform.hpp.

◆ initialized

bool mfem::ComplexDPGWeakForm::initialized = false

protected

Definition at line 30 of file complexweakform.hpp.

◆ IsTraceFes

Array<int> mfem::ComplexDPGWeakForm::IsTraceFes

protected

Flags to determine if a FiniteElementSpace is Trace.

Definition at line 58 of file complexweakform.hpp.

◆ lfis_i

Array<Array<LinearFormIntegrator * > * > mfem::ComplexDPGWeakForm::lfis_i

protected

Definition at line 74 of file complexweakform.hpp.

◆ lfis_r

Array<Array<LinearFormIntegrator * > * > mfem::ComplexDPGWeakForm::lfis_r

protected

Set of LinearForm Integrators to be applied.

Definition at line 73 of file complexweakform.hpp.

◆ mat

ComplexOperator* mfem::ComplexDPGWeakForm::mat = nullptr

protected

Definition at line 41 of file complexweakform.hpp.

◆ mat_e_i

BlockMatrix* mfem::ComplexDPGWeakForm::mat_e_i = nullptr

protected

Definition at line 52 of file complexweakform.hpp.

◆ mat_e_r

BlockMatrix* mfem::ComplexDPGWeakForm::mat_e_r = nullptr

protected

Block Matrix \( M_e \) used to store the eliminations from the b.c. Owned. \( M + M_e = M_{original} \).

Definition at line 51 of file complexweakform.hpp.

◆ mat_i

BlockMatrix* mfem::ComplexDPGWeakForm::mat_i = nullptr

protected

Definition at line 40 of file complexweakform.hpp.

◆ mat_r

BlockMatrix* mfem::ComplexDPGWeakForm::mat_r = nullptr

protected

Block matrix \( M \) to be associated with the real/imag Block bilinear form. Owned.

Definition at line 39 of file complexweakform.hpp.

◆ mesh

Mesh* mfem::ComplexDPGWeakForm::mesh = nullptr

protected

Definition at line 32 of file complexweakform.hpp.

◆ nblocks

int mfem::ComplexDPGWeakForm::nblocks

protected

Definition at line 34 of file complexweakform.hpp.

◆ P

BlockMatrix* mfem::ComplexDPGWeakForm::P = nullptr

protected

Block Prolongation.

Definition at line 77 of file complexweakform.hpp.

◆ R

BlockMatrix* mfem::ComplexDPGWeakForm::R = nullptr

protected

Block Restriction.

Definition at line 79 of file complexweakform.hpp.

◆ residuals

Vector mfem::ComplexDPGWeakForm::residuals

protected

Definition at line 101 of file complexweakform.hpp.

◆ static_cond

ComplexBlockStaticCondensation* mfem::ComplexDPGWeakForm::static_cond

protected

Owned.

Definition at line 28 of file complexweakform.hpp.

◆ store_matrices

bool mfem::ComplexDPGWeakForm::store_matrices = false

protected

Definition at line 95 of file complexweakform.hpp.

◆ tdof_offsets

Array<int> mfem::ComplexDPGWeakForm::tdof_offsets

protected

Definition at line 36 of file complexweakform.hpp.

◆ test_fecols

Array<FiniteElementCollection *> mfem::ComplexDPGWeakForm::test_fecols

protected

Test FE Collections (Broken)

Definition at line 61 of file complexweakform.hpp.

◆ test_fecols_vdims

Array<int> mfem::ComplexDPGWeakForm::test_fecols_vdims

protected

Definition at line 62 of file complexweakform.hpp.

◆ test_integs_i

Array2D<Array<BilinearFormIntegrator * > * > mfem::ComplexDPGWeakForm::test_integs_i

protected

Definition at line 70 of file complexweakform.hpp.

◆ test_integs_r

Array2D<Array<BilinearFormIntegrator * > * > mfem::ComplexDPGWeakForm::test_integs_r

protected

Set of Test Space (broken) Integrators to be applied for matrix G.

Definition at line 69 of file complexweakform.hpp.

◆ trial_fes

Array<FiniteElementSpace * > mfem::ComplexDPGWeakForm::trial_fes

protected

Trial FE spaces.

Definition at line 55 of file complexweakform.hpp.

◆ trial_integs_i

Array2D<Array<BilinearFormIntegrator * > * > mfem::ComplexDPGWeakForm::trial_integs_i

protected

Definition at line 66 of file complexweakform.hpp.

◆ trial_integs_r

Array2D<Array<BilinearFormIntegrator * > * > mfem::ComplexDPGWeakForm::trial_integs_r

protected

Set of Trial Integrators to be applied for matrix B.

Definition at line 65 of file complexweakform.hpp.

◆ width

int mfem::ComplexDPGWeakForm::width

protected

Definition at line 33 of file complexweakform.hpp.

◆ y

Vector* mfem::ComplexDPGWeakForm::y = nullptr

protected

Definition at line 46 of file complexweakform.hpp.

◆ y_i

BlockVector* mfem::ComplexDPGWeakForm::y_i = nullptr

protected

Definition at line 45 of file complexweakform.hpp.

◆ y_r

BlockVector* mfem::ComplexDPGWeakForm::y_r = nullptr

protected

BlockVectors to be associated with the real/imag Block linear form.

Definition at line 44 of file complexweakform.hpp.

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

miniapps/dpg/util/complexweakform.hpp
miniapps/dpg/util/complexweakform.cpp

Public Member Functions

Protected Member Functions

Protected Attributes

Detailed Description

Constructor & Destructor Documentation

◆ ComplexDPGWeakForm() [1/2]

◆ ComplexDPGWeakForm() [2/2]

◆ ~ComplexDPGWeakForm()

Member Function Documentation

◆ AddDomainLFIntegrator()

◆ AddTestIntegrator()

◆ AddTrialIntegrator()

◆ AllocateMatrix()

◆ AllocMat()

◆ Assemble()

◆ BlockMat_i()

◆ BlockMat_r()

◆ BlockMatElim_i()

◆ BlockMatElim_r()

◆ BuildProlongation()

◆ ComputeOffsets()

◆ ComputeResidual()

◆ ConformingAssemble()

◆ EliminateVDofs()

◆ EliminateVDofsInRHS()

◆ EnableStaticCondensation()

◆ Finalize()

◆ FormLinearSystem() [1/2]

◆ FormLinearSystem() [2/2]

◆ FormSystemMatrix() [1/2]

◆ FormSystemMatrix() [2/2]

◆ Init()

◆ RecoverFEMSolution()

◆ ReleaseInitMemory()

◆ SetDiagonalPolicy()

◆ SetSpaces()

◆ SetTestFECollVdim()

◆ Size()

◆ StoreMatrices()

◆ Update()

Member Data Documentation

◆ Bmat

◆ diag_policy

◆ dof_offsets

◆ fvec

◆ height

◆ initialized

◆ IsTraceFes

◆ lfis_i

◆ lfis_r

◆ mat

◆ mat_e_i

◆ mat_e_r

◆ mat_i

◆ mat_r

◆ mesh

◆ nblocks

◆ P

◆ R

◆ residuals

◆ static_cond

◆ store_matrices

◆ tdof_offsets

◆ test_fecols

◆ test_fecols_vdims

◆ test_integs_i

◆ test_integs_r

◆ trial_fes

◆ trial_integs_i

◆ trial_integs_r

◆ width

◆ y

◆ y_i

◆ y_r