#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 294 of file bilinearform.hpp.

Constructor & Destructor Documentation

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

Definition at line 773 of file bilinearform.cpp.

mfem::MixedBilinearForm::~MixedBilinearForm ( )

virtual

Definition at line 1014 of file bilinearform.cpp.

Member Function Documentation

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

Definition at line 836 of file bilinearform.cpp.

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

Definition at line 831 of file bilinearform.cpp.

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

virtual

Definition at line 797 of file bilinearform.cpp.

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

virtual

Definition at line 803 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 841 of file bilinearform.cpp.

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

Definition at line 846 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 931 of file bilinearform.cpp.

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

virtual

Returns reference to a_{ij}.

Implements mfem::Matrix.

Definition at line 782 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 787 of file bilinearform.cpp.

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

Definition at line 980 of file bilinearform.cpp.

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

virtual

Definition at line 986 of file bilinearform.cpp.

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

Definition at line 957 of file bilinearform.cpp.

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

virtual

Finalizes the matrix initialization.

Reimplemented from mfem::Matrix.

Definition at line 814 of file bilinearform.cpp.

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

inline

Definition at line 348 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 819 of file bilinearform.cpp.

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

inline

Definition at line 346 of file bilinearform.hpp.

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

inline

Definition at line 350 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 809 of file bilinearform.cpp.

SparseMatrix* mfem::MixedBilinearForm::LoseMat ( )

inline

Definition at line 335 of file bilinearform.hpp.

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

virtual

Operator application.

Implements mfem::Operator.

Definition at line 792 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 321 of file bilinearform.hpp.

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

inline

Definition at line 352 of file bilinearform.hpp.

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

inline

Definition at line 333 of file bilinearform.hpp.

SparseMatrix& mfem::MixedBilinearForm::SpMat ( )

inline

Definition at line 334 of file bilinearform.hpp.

void mfem::MixedBilinearForm::Update ( )

Definition at line 1006 of file bilinearform.cpp.

Member Data Documentation

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

protected

Definition at line 302 of file bilinearform.hpp.

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

protected

Definition at line 301 of file bilinearform.hpp.

SparseMatrix* mfem::MixedBilinearForm::mat

protected

Definition at line 297 of file bilinearform.hpp.

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

protected

Definition at line 303 of file bilinearform.hpp.

FiniteElementSpace * mfem::MixedBilinearForm::test_fes

protected

Definition at line 299 of file bilinearform.hpp.

FiniteElementSpace* mfem::MixedBilinearForm::trial_fes

protected

Definition at line 299 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