#include <complex_fem.hpp>

Public Member Functions
	ParSesquilinearForm (ParFiniteElementSpace *pf, ComplexOperator::Convention convention=ComplexOperator::HERMITIAN)

	ParSesquilinearForm (ParFiniteElementSpace pf, ParBilinearForm pbfr, ParBilinearForm *pbfi, ComplexOperator::Convention convention=ComplexOperator::HERMITIAN)
	Create a ParSesquilinearForm on the ParFiniteElementSpace pf, using the same integrators as the ParBilinearForms pbfr and pbfi . More...

ComplexOperator::Convention	GetConvention () const

void	SetConvention (const ComplexOperator::Convention &convention)

ParBilinearForm &	real ()

ParBilinearForm &	imag ()

const ParBilinearForm &	real () const

const ParBilinearForm &	imag () const

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

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

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

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

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

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

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

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

ComplexHypreParMatrix *	ParallelAssemble ()
	Returns the matrix assembled on the true dofs, i.e. P^t A P. More...

ParFiniteElementSpace *	ParFESpace () const
	Return the parallel FE space associated with the ParBilinearForm. More...

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)

virtual	~ParSesquilinearForm ()

Detailed Description

Class for a parallel 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 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 ParSesquilinearForm 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 493 of file complex_fem.hpp.

Constructor & Destructor Documentation

mfem::ParSesquilinearForm::ParSesquilinearForm	(	ParFiniteElementSpace *	pf,
		ComplexOperator::Convention	convention = `ComplexOperator::HERMITIAN`
	)

Definition at line 811 of file complex_fem.cpp.

mfem::ParSesquilinearForm::ParSesquilinearForm	(	ParFiniteElementSpace *	pf,
		ParBilinearForm *	pbfr,
		ParBilinearForm *	pbfi,
		ComplexOperator::Convention	convention = `ComplexOperator::HERMITIAN`
	)

Create a ParSesquilinearForm on the ParFiniteElementSpace pf, using the same integrators as the ParBilinearForms pbfr and pbfi .

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

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

Definition at line 819 of file complex_fem.cpp.

mfem::ParSesquilinearForm::~ParSesquilinearForm ( )

virtual

Definition at line 827 of file complex_fem.cpp.

Member Function Documentation

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

Adds new boundary Face Integrator. Assumes ownership of bfi.

Definition at line 866 of file complex_fem.cpp.

void mfem::ParSesquilinearForm::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 874 of file complex_fem.cpp.

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

Adds new Boundary Integrator.

Definition at line 841 of file complex_fem.cpp.

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

Adds new boundary 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 849 of file complex_fem.cpp.

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

Adds new Domain Integrator.

Definition at line 833 of file complex_fem.cpp.

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

Adds new interior Face Integrator. Assumes ownership of bfi.

Definition at line 858 of file complex_fem.cpp.

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

Assemble the local matrix.

Definition at line 883 of file complex_fem.cpp.

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

Finalizes the matrix initialization.

Definition at line 890 of file complex_fem.cpp.

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

Definition at line 906 of file complex_fem.cpp.

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

Definition at line 1029 of file complex_fem.cpp.

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

inline

Definition at line 523 of file complex_fem.hpp.

ParBilinearForm& mfem::ParSesquilinearForm::imag ( )

inline

Definition at line 528 of file complex_fem.hpp.

const ParBilinearForm& mfem::ParSesquilinearForm::imag ( ) const

inline

Definition at line 530 of file complex_fem.hpp.

ComplexHypreParMatrix * mfem::ParSesquilinearForm::ParallelAssemble ( )

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 897 of file complex_fem.cpp.

ParFiniteElementSpace* mfem::ParSesquilinearForm::ParFESpace ( ) const

inline

Return the parallel FE space associated with the ParBilinearForm.

Definition at line 581 of file complex_fem.hpp.

ParBilinearForm& mfem::ParSesquilinearForm::real ( )

inline

Definition at line 527 of file complex_fem.hpp.

const ParBilinearForm& mfem::ParSesquilinearForm::real ( ) const

inline

Definition at line 529 of file complex_fem.hpp.

void mfem::ParSesquilinearForm::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 1093 of file complex_fem.cpp.

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

inline

Definition at line 524 of file complex_fem.hpp.

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

virtual

Definition at line 1115 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

Member Function Documentation