#include <bilinearform.hpp>

Inheritance diagram for mfem::MixedBilinearForm:

Collaboration diagram for mfem::MixedBilinearForm:

Public Member Functions
	MixedBilinearForm (FiniteElementSpace tr_fes, FiniteElementSpace te_fes)

virtual double &	Elem (int i, int j)
	Returns reference to a_{ij}. More...

virtual const double &	Elem (int i, int j) const
	Returns constant reference to a_{ij}. More...

virtual void	Mult (const Vector &x, Vector &y) const
	Operator application. More...

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. More...

virtual MatrixInverse *	Inverse () const
	Returns a pointer to (an approximation) of the matrix inverse. More...

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

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

const SparseMatrix &	SpMat () const

SparseMatrix &	SpMat ()

SparseMatrix *	LoseMat ()

void	AddDomainIntegrator (BilinearFormIntegrator *bfi)

void	AddBoundaryIntegrator (BilinearFormIntegrator *bfi)

void	AddTraceFaceIntegrator (BilinearFormIntegrator *bfi)

Array< BilinearFormIntegrator * > *	GetDBFI ()

Array< BilinearFormIntegrator * > *	GetBBFI ()

Array< BilinearFormIntegrator * > *	GetTFBFI ()

void	operator= (const double a)

void	Assemble (int skip_zeros=1)

void	ConformingAssemble ()

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

void	EliminateEssentialBCFromTrialDofs (Array< int > &marked_vdofs, Vector &sol, Vector &rhs)

virtual void	EliminateTestDofs (Array< int > &bdr_attr_is_ess)

void	Update ()

virtual	~MixedBilinearForm ()

Public Member Functions inherited from mfem::Matrix
	Matrix (int s)
	Creates a square matrix of size s. More...

	Matrix (int h, int w)
	Creates a matrix of the given height and width. More...

virtual void	Print (std::ostream &out=std::cout, int width_=4) const
	Prints matrix to stream out. More...

virtual	~Matrix ()
	Destroys matrix. More...

Public Member Functions inherited from mfem::Operator
	Operator (int s=0)
	Construct a square Operator with given size s (default 0) More...

	Operator (int h, int w)

int	Height () const
	Get the height (size of output) of the Operator. Synonym with NumRows. More...

int	NumRows () const

int	Width () const
	Get the width (size of input) of the Operator. Synonym with NumCols. More...

int	NumCols () const

virtual Operator &	GetGradient (const Vector &x) const
	Evaluate the gradient operator at the point x. More...

void	PrintMatlab (std::ostream &out, int n=0, int m=0)
	Prints operator with input size n and output size m in matlab format. More...

virtual	~Operator ()

Protected Attributes
SparseMatrix *	mat

FiniteElementSpace *	trial_fes

FiniteElementSpace *	test_fes

Array< BilinearFormIntegrator * >	dom

Array< BilinearFormIntegrator * >	bdr

Array< BilinearFormIntegrator * >	skt

Protected Attributes inherited from mfem::Operator
int	height

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 224 of file bilinearform.hpp.

Constructor & Destructor Documentation

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

Definition at line 490 of file bilinearform.cpp.

mfem::MixedBilinearForm::~MixedBilinearForm ( )

virtual

Definition at line 720 of file bilinearform.cpp.

Member Function Documentation

void mfem::MixedBilinearForm::AddBoundaryIntegrator ( BilinearFormIntegrator * bfi )

Definition at line 553 of file bilinearform.cpp.

void mfem::MixedBilinearForm::AddDomainIntegrator ( BilinearFormIntegrator * bfi )

Definition at line 548 of file bilinearform.cpp.

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

virtual

Definition at line 514 of file bilinearform.cpp.

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

virtual

Definition at line 520 of file bilinearform.cpp.

void mfem::MixedBilinearForm::AddTraceFaceIntegrator ( BilinearFormIntegrator * bfi )

Add a trace face integrator. This type of integrator assembles terms over all faces of the mesh using the face FE from the trial space and the two adjacent volume FEs from the test space.

Definition at line 558 of file bilinearform.cpp.

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

Definition at line 563 of file bilinearform.cpp.

void mfem::MixedBilinearForm::ConformingAssemble ( )

For partially conforming trial and/or test FE spaces, complete the assembly process by performing A := P2^t A P1 where A is the internal sparse matrix; P1 and P2 are the conforming prolongation matrices of the trial and test FE spaces, respectively. After this call the MixedBilinearForm becomes an operator on the conforming FE spaces.

Definition at line 641 of file bilinearform.cpp.

double & mfem::MixedBilinearForm::Elem	(	int	i,
		int	j
	)

virtual

Returns reference to a_{ij}.

Implements mfem::Matrix.

Definition at line 499 of file bilinearform.cpp.

const double & mfem::MixedBilinearForm::Elem	(	int	i,
		int	j
	)		const

virtual

Returns constant reference to a_{ij}.

Implements mfem::Matrix.

Definition at line 504 of file bilinearform.cpp.

void mfem::MixedBilinearForm::EliminateEssentialBCFromTrialDofs	(	Array< int > &	marked_vdofs,
		Vector &	sol,
		Vector &	rhs
	)

Definition at line 688 of file bilinearform.cpp.

void mfem::MixedBilinearForm::EliminateTestDofs ( Array< int > & bdr_attr_is_ess )

virtual

Definition at line 694 of file bilinearform.cpp.

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

Definition at line 667 of file bilinearform.cpp.

void mfem::MixedBilinearForm::Finalize ( int = 1 )

virtual

Finalizes the matrix initialization.

Reimplemented from mfem::Matrix.

Definition at line 531 of file bilinearform.cpp.

Array<BilinearFormIntegrator*>* mfem::MixedBilinearForm::GetBBFI ( )

inline

Definition at line 278 of file bilinearform.hpp.

void mfem::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 536 of file bilinearform.cpp.

Array<BilinearFormIntegrator*>* mfem::MixedBilinearForm::GetDBFI ( )

inline

Definition at line 276 of file bilinearform.hpp.

Array<BilinearFormIntegrator*>* mfem::MixedBilinearForm::GetTFBFI ( )

inline

Definition at line 280 of file bilinearform.hpp.

MatrixInverse * mfem::MixedBilinearForm::Inverse ( ) const

virtual

Returns a pointer to (an approximation) of the matrix inverse.

Implements mfem::Matrix.

Definition at line 526 of file bilinearform.cpp.

SparseMatrix* mfem::MixedBilinearForm::LoseMat ( )

inline

Definition at line 265 of file bilinearform.hpp.

void mfem::MixedBilinearForm::Mult	(	const Vector &	x,
		Vector &	y
	)		const

virtual

Operator application.

Implements mfem::Operator.

Definition at line 509 of file bilinearform.cpp.

virtual void mfem::MixedBilinearForm::MultTranspose	(	const Vector &	x,
		Vector &	y
	)		const

inlinevirtual

Action of the transpose operator.

Reimplemented from mfem::Operator.

Definition at line 251 of file bilinearform.hpp.

void mfem::MixedBilinearForm::operator= ( const double a )

inline

Definition at line 282 of file bilinearform.hpp.

const SparseMatrix& mfem::MixedBilinearForm::SpMat ( ) const

inline

Definition at line 263 of file bilinearform.hpp.

SparseMatrix& mfem::MixedBilinearForm::SpMat ( )

inline

Definition at line 264 of file bilinearform.hpp.

void mfem::MixedBilinearForm::Update ( )

Definition at line 712 of file bilinearform.cpp.

Member Data Documentation

Array<BilinearFormIntegrator*> mfem::MixedBilinearForm::bdr

protected

Definition at line 232 of file bilinearform.hpp.

Array<BilinearFormIntegrator*> mfem::MixedBilinearForm::dom

protected

Definition at line 231 of file bilinearform.hpp.

SparseMatrix* mfem::MixedBilinearForm::mat

protected

Definition at line 227 of file bilinearform.hpp.

Array<BilinearFormIntegrator*> mfem::MixedBilinearForm::skt

protected

Definition at line 233 of file bilinearform.hpp.

FiniteElementSpace * mfem::MixedBilinearForm::test_fes

protected

Definition at line 229 of file bilinearform.hpp.

FiniteElementSpace* mfem::MixedBilinearForm::trial_fes

protected

Definition at line 229 of file bilinearform.hpp.

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

Public Member Functions

Protected Attributes

Detailed Description

of rows of A = dimension of the test space and

of cols of A = dimension of the trial space.

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation