#include <bilinearform.hpp>

Inheritance diagram for MixedBilinearForm:

Collaboration diagram for MixedBilinearForm:

Public Member Functions
	MixedBilinearForm (FiniteElementSpace tr_fes, FiniteElementSpace te_fes)
int	Width () const
virtual double &	Elem (int i, int j)
	Returns reference to a_{ij}. Index i, j = 0 .. size-1.
virtual const double &	Elem (int i, int j) const
	Returns constant reference to a_{ij}. Index i, j = 0 .. size-1.
virtual void	Mult (const Vector &x, Vector &y) const
	Operator application.
virtual void	AddMult (const Vector &x, Vector &y, const double a=1.0) const
virtual void	AddMultTranspose (const Vector &x, Vector &y, const double a=1.0) const
virtual void	MultTranspose (const Vector &x, Vector &y) const
	Action of the transpose operator.
virtual MatrixInverse *	Inverse () const
	Returns a pointer to (approximation) of the matrix inverse.
virtual void	Finalize (int skip_zeros=1)
	Finalizes the matrix initialization.
void	GetBlocks (Array2D< SparseMatrix * > &blocks) const
const SparseMatrix &	SpMat () const
SparseMatrix &	SpMat ()
void	AddDomainIntegrator (BilinearFormIntegrator *bfi)
void	AddBoundaryIntegrator (BilinearFormIntegrator *bfi)
void	operator= (const double a)
virtual void	Assemble (int skip_zeros=1)
void	EliminateTrialDofs (Array< int > &bdr_attr_is_ess, Vector &sol, Vector &rhs)
virtual void	EliminateTestDofs (Array< int > &bdr_attr_is_ess)
void	Update ()
virtual	~MixedBilinearForm ()
Protected Attributes
SparseMatrix *	mat
FiniteElementSpace *	trial_fes
FiniteElementSpace *	test_fes
Array< BilinearFormIntegrator * >	dom
Array< BilinearFormIntegrator * >	bdr
int	width

Detailed Description

Class for assembling of bilinear forms a(u,v) defined on different trial and test spaces. The assembled matrix A is such that

a(u,v) = V^t A U

where U and V are the vectors representing the function u and v, respectively. The first argument, u, of a(,) is in the trial space and the second argument, v, is in the test space. Thus,

# of rows of A = dimension of the test space and # of cols of A = dimension of the trial space.

Both trial and test spaces should be defined on the same mesh.

Definition at line 182 of file bilinearform.hpp.

Constructor & Destructor Documentation

MixedBilinearForm::MixedBilinearForm	(	FiniteElementSpace *	tr_fes,
		FiniteElementSpace *	te_fes
	)

Definition at line 407 of file bilinearform.cpp.

References FiniteElementSpace::GetVSize(), mat, test_fes, trial_fes, and width.

MixedBilinearForm::~MixedBilinearForm ( ) [virtual]

Definition at line 564 of file bilinearform.cpp.

References bdr, dom, mat, and Array< T >::Size().

Member Function Documentation

void MixedBilinearForm::AddBoundaryIntegrator ( BilinearFormIntegrator * bfi )

Definition at line 471 of file bilinearform.cpp.

References Array< T >::Append(), and bdr.

void MixedBilinearForm::AddDomainIntegrator ( BilinearFormIntegrator * bfi )

Definition at line 466 of file bilinearform.cpp.

References Array< T >::Append(), and dom.

Referenced by DiscreteLinearOperator::AddDomainInterpolator().

void MixedBilinearForm::AddMult	(	const Vector &	x,
		Vector &	y,
		const double	a = `1.0`
	)		const `[virtual]`

Definition at line 432 of file bilinearform.cpp.

References mat.

void MixedBilinearForm::AddMultTranspose	(	const Vector &	x,
		Vector &	y,
		const double	a = `1.0`
	)		const `[virtual]`

Definition at line 438 of file bilinearform.cpp.

References mat.

Referenced by MultTranspose().

void MixedBilinearForm::Assemble ( int skip_zeros = 1 ) [virtual]

Reimplemented in DiscreteLinearOperator.

Definition at line 476 of file bilinearform.cpp.

References bdr, dom, mat, Array< T >::Size(), Operator::size, test_fes, trial_fes, and width.

double & MixedBilinearForm::Elem	(	int	i,
		int	j
	)		`[virtual]`

Returns reference to a_{ij}. Index i, j = 0 .. size-1.

Implements Matrix.

Definition at line 417 of file bilinearform.cpp.

References mat.

const double & MixedBilinearForm::Elem	(	int	i,
		int	j
	)		const `[virtual]`

Returns constant reference to a_{ij}. Index i, j = 0 .. size-1.

Implements Matrix.

Definition at line 422 of file bilinearform.cpp.

References mat.

void MixedBilinearForm::EliminateTestDofs ( Array< int > & bdr_attr_is_ess ) [virtual]

Definition at line 538 of file bilinearform.cpp.

References mat, Array< T >::Size(), and test_fes.

void MixedBilinearForm::EliminateTrialDofs	(	Array< int > &	bdr_attr_is_ess,
		Vector &	sol,
		Vector &	rhs
	)

Definition at line 517 of file bilinearform.cpp.

References mat, Array< T >::Size(), and trial_fes.

void MixedBilinearForm::Finalize ( int = 1 ) [virtual]

Finalizes the matrix initialization.

Reimplemented from Matrix.

Definition at line 449 of file bilinearform.cpp.

References mat.

void MixedBilinearForm::GetBlocks ( Array2D< SparseMatrix * > & blocks ) const

Extract the associated matrix as SparseMatrix blocks. The number of block rows and columns is given by the vector dimensions (vdim) of the test and trial spaces, respectively.

Definition at line 454 of file bilinearform.cpp.

References Ordering::byNODES, SparseMatrix::GetBlocks(), FiniteElementSpace::GetOrdering(), FiniteElementSpace::GetVDim(), mat, mfem_error(), Array2D< T >::SetSize(), test_fes, and trial_fes.