#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: `y=A(x)`. 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: `y=A^t(x)`. The default behavior in class Operator is to generate an error. 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)
	Construct an Operator with the given height (output size) and width (input size). More...

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

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

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

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

virtual Operator &	GetGradient (const Vector &x) const
	Evaluate the gradient operator at the point x. The default behavior in class Operator is to generate an error. More...

virtual const Operator *	GetProlongation () const
	Prolongation operator from linear algebra (linear system) vectors, to input vectors for the operator. `NULL` means identity. More...

virtual const Operator *	GetRestriction () const
	Restriction operator from input vectors for the operator to linear algebra (linear system) vectors. `NULL` means identity. More...

void	FormLinearSystem (const Array< int > &ess_tdof_list, Vector &x, Vector &b, Operator *&A, Vector &X, Vector &B, int copy_interior=0)
	Form a constrained linear system using a matrix-free approach. More...

virtual void	RecoverFEMSolution (const Vector &X, const Vector &b, Vector &x)
	Reconstruct a solution vector x (e.g. a GridFunction) from the solution X of a constrained linear system obtained from Operator::FormLinearSystem(). More...

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

virtual	~Operator ()
	Virtual destructor. More...

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
	Dimension of the output / number of rows in the matrix. More...

int	width
	Dimension of the input / number of columns in the matrix. More...

Additional Inherited Members
Public Types inherited from mfem::Operator
enum	Type { MFEM_SPARSEMAT, HYPRE_PARCSR, PETSC_MATAIJ, PETSC_MATIS, PETSC_MATSHELL, PETSC_MATNEST }
	Enumeration defining IDs for some classes derived from Operator. More...

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 functions 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 345 of file bilinearform.hpp.

Constructor & Destructor Documentation

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

Definition at line 898 of file bilinearform.cpp.

mfem::MixedBilinearForm::~MixedBilinearForm ( )

virtual

Definition at line 1139 of file bilinearform.cpp.

Member Function Documentation

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

Definition at line 961 of file bilinearform.cpp.

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

Definition at line 956 of file bilinearform.cpp.

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

virtual

Definition at line 922 of file bilinearform.cpp.

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

virtual

Definition at line 928 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 966 of file bilinearform.cpp.

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

Definition at line 971 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 1056 of file bilinearform.cpp.

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

virtual

Returns reference to a_{ij}.

Implements mfem::Matrix.

Definition at line 907 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 912 of file bilinearform.cpp.

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

Definition at line 1105 of file bilinearform.cpp.

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

virtual

Definition at line 1111 of file bilinearform.cpp.

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

Definition at line 1082 of file bilinearform.cpp.

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

virtual

Finalizes the matrix initialization.

Reimplemented from mfem::Matrix.

Definition at line 939 of file bilinearform.cpp.

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

inline

Definition at line 399 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 944 of file bilinearform.cpp.

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

inline

Definition at line 397 of file bilinearform.hpp.

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

inline

Definition at line 401 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 934 of file bilinearform.cpp.

SparseMatrix* mfem::MixedBilinearForm::LoseMat ( )

inline

Definition at line 386 of file bilinearform.hpp.

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

virtual

Operator application: y=A(x).

Implements mfem::Operator.

Definition at line 917 of file bilinearform.cpp.

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

inlinevirtual

Action of the transpose operator: y=A^t(x). The default behavior in class Operator is to generate an error.

Reimplemented from mfem::Operator.

Definition at line 372 of file bilinearform.hpp.

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

inline

Definition at line 403 of file bilinearform.hpp.

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

inline

Definition at line 384 of file bilinearform.hpp.

SparseMatrix& mfem::MixedBilinearForm::SpMat ( )

inline

Definition at line 385 of file bilinearform.hpp.

void mfem::MixedBilinearForm::Update ( )

Definition at line 1131 of file bilinearform.cpp.

Member Data Documentation

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

protected

Definition at line 353 of file bilinearform.hpp.

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

protected

Definition at line 352 of file bilinearform.hpp.

SparseMatrix* mfem::MixedBilinearForm::mat

protected

Definition at line 348 of file bilinearform.hpp.

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

protected

Definition at line 354 of file bilinearform.hpp.

FiniteElementSpace * mfem::MixedBilinearForm::test_fes

protected

Definition at line 350 of file bilinearform.hpp.

FiniteElementSpace* mfem::MixedBilinearForm::trial_fes

protected

Definition at line 350 of file bilinearform.hpp.

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

Public Member Functions

Protected Attributes

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation