#include <complex_fem.hpp>

Public Member Functions
	SesquilinearForm (FiniteElementSpace *fes, ComplexOperator::Convention convention=ComplexOperator::HERMITIAN)

	SesquilinearForm (FiniteElementSpace fes, BilinearForm bfr, BilinearForm *bfi, ComplexOperator::Convention convention=ComplexOperator::HERMITIAN)
	Create a SesquilinearForm on the FiniteElementSpace fes, using the same integrators as the BilinearForms bfr and bfi .

ComplexOperator::Convention	GetConvention () const

void	SetConvention (const ComplexOperator::Convention &convention)

void	SetAssemblyLevel (AssemblyLevel assembly_level)
	Set the desired assembly level.

BilinearForm &	real ()

BilinearForm &	imag ()

const BilinearForm &	real () const

const BilinearForm &	imag () const

void	AddDomainIntegrator (BilinearFormIntegrator bfi_real, BilinearFormIntegrator bfi_imag)
	Adds new Domain Integrator.

void	AddDomainIntegrator (BilinearFormIntegrator bfi_real, BilinearFormIntegrator bfi_imag, Array< int > &elem_marker)
	Adds new Domain Integrator, restricted to the given attributes.

void	AddBoundaryIntegrator (BilinearFormIntegrator bfi_real, BilinearFormIntegrator bfi_imag)
	Adds new Boundary Integrator.

void	AddBoundaryIntegrator (BilinearFormIntegrator bfi_real, BilinearFormIntegrator bfi_imag, Array< int > &bdr_marker)
	Adds new Boundary Integrator, restricted to specific boundary attributes.

void	AddInteriorFaceIntegrator (BilinearFormIntegrator bfi_real, BilinearFormIntegrator bfi_imag)
	Adds new interior Face Integrator. Assumes ownership of bfi.

void	AddBdrFaceIntegrator (BilinearFormIntegrator bfi_real, BilinearFormIntegrator bfi_imag)
	Adds new boundary Face Integrator. Assumes ownership of bfi.

void	AddBdrFaceIntegrator (BilinearFormIntegrator bfi_real, BilinearFormIntegrator bfi_imag, Array< int > &bdr_marker)
	Adds new boundary Face Integrator, restricted to specific boundary attributes.

void	Assemble (int skip_zeros=1)
	Assemble the local matrix.

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

ComplexSparseMatrix *	AssembleComplexSparseMatrix ()
	Returns the matrix assembled on the true dofs, i.e. P^t A P.

FiniteElementSpace *	FESpace () const
	Return the parallel FE space associated with the ParBilinearForm.

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

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

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

virtual void	Update (FiniteElementSpace *nfes=NULL)

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

Matrix::DiagonalPolicy	GetDiagonalPolicy () const
	Returns the diagonal policy of the sesquilinear form.

virtual	~SesquilinearForm ()

Detailed Description

Class for sesquilinear form

A sesquilinear form is a generalization of a bilinear form to complex-valued fields. Sesquilinear forms are linear in the second argument but the first argument involves a complex conjugate in the sense that:

        a(alpha u, beta v) = conj(alpha) beta a(u, v)

The convention argument in the class's constructor is documented in the mfem::ComplexOperator class found in linalg/complex_operator.hpp.

When supplying integrators to the SesquilinearForm either the real or imaginary integrator can be NULL. This indicates that the corresponding portion of the complex-valued material coefficient is equal to zero.

Definition at line 206 of file complex_fem.hpp.

Constructor & Destructor Documentation

◆ SesquilinearForm() [1/2]

mfem::SesquilinearForm::SesquilinearForm	(	FiniteElementSpace *	fes,
		ComplexOperator::Convention	convention = ComplexOperator::HERMITIAN )

Definition at line 296 of file complex_fem.cpp.

◆ SesquilinearForm() [2/2]

mfem::SesquilinearForm::SesquilinearForm	(	FiniteElementSpace *	fes,
		BilinearForm *	bfr,
		BilinearForm *	bfi,
		ComplexOperator::Convention	convention = ComplexOperator::HERMITIAN )

Create a SesquilinearForm on the FiniteElementSpace fes, using the same integrators as the BilinearForms bfr and bfi .

The pointer fes is not owned by the newly constructed object.

The integrators are copied as pointers and they are not owned by the newly constructed SesquilinearForm.

Definition at line 303 of file complex_fem.cpp.

◆ ~SesquilinearForm()

mfem::SesquilinearForm::~SesquilinearForm ( )

virtual

Definition at line 316 of file complex_fem.cpp.

Member Function Documentation

◆ AddBdrFaceIntegrator() [1/2]

void mfem::SesquilinearForm::AddBdrFaceIntegrator	(	BilinearFormIntegrator *	bfi_real,
		BilinearFormIntegrator *	bfi_imag )

Adds new boundary Face Integrator. Assumes ownership of bfi.

Definition at line 362 of file complex_fem.cpp.

◆ AddBdrFaceIntegrator() [2/2]

void mfem::SesquilinearForm::AddBdrFaceIntegrator	(	BilinearFormIntegrator *	bfi_real,
		BilinearFormIntegrator *	bfi_imag,
		Array< int > &	bdr_marker )

Adds new boundary Face Integrator, restricted to specific boundary attributes.

Assumes ownership of bfi.

The array bdr_marker is stored internally as a pointer to the given Array<int> object.

Definition at line 369 of file complex_fem.cpp.

◆ AddBoundaryIntegrator() [1/2]

void mfem::SesquilinearForm::AddBoundaryIntegrator	(	BilinearFormIntegrator *	bfi_real,
		BilinearFormIntegrator *	bfi_imag )

Adds new Boundary Integrator.

Definition at line 338 of file complex_fem.cpp.

◆ AddBoundaryIntegrator() [2/2]

void mfem::SesquilinearForm::AddBoundaryIntegrator	(	BilinearFormIntegrator *	bfi_real,
		BilinearFormIntegrator *	bfi_imag,
		Array< int > &	bdr_marker )

Adds new Boundary Integrator, restricted to specific boundary attributes.

Definition at line 346 of file complex_fem.cpp.

◆ AddDomainIntegrator() [1/2]

void mfem::SesquilinearForm::AddDomainIntegrator	(	BilinearFormIntegrator *	bfi_real,
		BilinearFormIntegrator *	bfi_imag )

Adds new Domain Integrator.

Definition at line 322 of file complex_fem.cpp.

◆ AddDomainIntegrator() [2/2]

void mfem::SesquilinearForm::AddDomainIntegrator	(	BilinearFormIntegrator *	bfi_real,
		BilinearFormIntegrator *	bfi_imag,
		Array< int > &	elem_marker )

Adds new Domain Integrator, restricted to the given attributes.

Definition at line 329 of file complex_fem.cpp.

◆ AddInteriorFaceIntegrator()

void mfem::SesquilinearForm::AddInteriorFaceIntegrator	(	BilinearFormIntegrator *	bfi_real,
		BilinearFormIntegrator *	bfi_imag )

Adds new interior Face Integrator. Assumes ownership of bfi.

Definition at line 355 of file complex_fem.cpp.

◆ Assemble()

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

Assemble the local matrix.

Definition at line 378 of file complex_fem.cpp.

◆ AssembleComplexSparseMatrix()

ComplexSparseMatrix * mfem::SesquilinearForm::AssembleComplexSparseMatrix ( )

Returns the matrix assembled on the true dofs, i.e. P^t A P.

The returned matrix has to be deleted by the caller.

Definition at line 392 of file complex_fem.cpp.

◆ FESpace()

FiniteElementSpace * mfem::SesquilinearForm::FESpace ( ) const

inline

Return the parallel FE space associated with the ParBilinearForm.

Definition at line 312 of file complex_fem.hpp.

◆ Finalize()

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

Finalizes the matrix initialization.

Definition at line 385 of file complex_fem.cpp.

◆ FormLinearSystem()

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

Definition at line 400 of file complex_fem.cpp.

◆ FormSystemMatrix()

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

Definition at line 555 of file complex_fem.cpp.

◆ GetConvention()

ComplexOperator::Convention mfem::SesquilinearForm::GetConvention ( ) const

inline

Definition at line 239 of file complex_fem.hpp.

◆ GetDiagonalPolicy()

Matrix::DiagonalPolicy mfem::SesquilinearForm::GetDiagonalPolicy ( ) const

inline

Returns the diagonal policy of the sesquilinear form.

Definition at line 332 of file complex_fem.hpp.

◆ imag() [1/2]

BilinearForm & mfem::SesquilinearForm::imag ( )

inline

Definition at line 260 of file complex_fem.hpp.

◆ imag() [2/2]

const BilinearForm & mfem::SesquilinearForm::imag ( ) const

inline

Definition at line 262 of file complex_fem.hpp.

◆ real() [1/2]

BilinearForm & mfem::SesquilinearForm::real ( )

inline

Definition at line 259 of file complex_fem.hpp.

◆ real() [2/2]

const BilinearForm & mfem::SesquilinearForm::real ( ) const

inline

Definition at line 261 of file complex_fem.hpp.

◆ RecoverFEMSolution()

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

virtual

Call this method after solving a linear system constructed using the FormLinearSystem method to recover the solution as a ParGridFunction-size vector in x. Use the same arguments as in the FormLinearSystem call.

Definition at line 616 of file complex_fem.cpp.

◆ SetAssemblyLevel()

void mfem::SesquilinearForm::SetAssemblyLevel ( AssemblyLevel assembly_level )

inline

Set the desired assembly level.

Valid choices are:

This method must be called before assembly.

Definition at line 253 of file complex_fem.hpp.

◆ SetConvention()

void mfem::SesquilinearForm::SetConvention ( const ComplexOperator::Convention & convention )

inline

Definition at line 240 of file complex_fem.hpp.

◆ SetDiagonalPolicy()

void mfem::SesquilinearForm::SetDiagonalPolicy ( mfem::Matrix::DiagonalPolicy dpolicy )

Sets diagonal policy used upon construction of the linear system.

Definition at line 311 of file complex_fem.cpp.

◆ Update()

void mfem::SesquilinearForm::Update ( FiniteElementSpace * nfes = NULL )

virtual

Definition at line 648 of file complex_fem.cpp.

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

fem/complex_fem.hpp
fem/complex_fem.cpp

Public Member Functions

Detailed Description

Constructor & Destructor Documentation

◆ SesquilinearForm() [1/2]

◆ SesquilinearForm() [2/2]

◆ ~SesquilinearForm()

Member Function Documentation

◆ AddBdrFaceIntegrator() [1/2]

◆ AddBdrFaceIntegrator() [2/2]

◆ AddBoundaryIntegrator() [1/2]

◆ AddBoundaryIntegrator() [2/2]

◆ AddDomainIntegrator() [1/2]

◆ AddDomainIntegrator() [2/2]

◆ AddInteriorFaceIntegrator()

◆ Assemble()

◆ AssembleComplexSparseMatrix()

◆ FESpace()

◆ Finalize()

◆ FormLinearSystem()

◆ FormSystemMatrix()

◆ GetConvention()

◆ GetDiagonalPolicy()

◆ imag() [1/2]

◆ imag() [2/2]

◆ real() [1/2]

◆ real() [2/2]

◆ RecoverFEMSolution()

◆ SetAssemblyLevel()

◆ SetConvention()

◆ SetDiagonalPolicy()

◆ Update()