#include <bilinearform.hpp>

Inheritance diagram for mfem::MixedBilinearForm:

Collaboration diagram for mfem::MixedBilinearForm:

Public Member Functions
	MixedBilinearForm (FiniteElementSpace tr_fes, FiniteElementSpace te_fes)
	Construct a MixedBilinearForm on the given trial, tr_fes, and test, te_fes, FiniteElementSpaces. More...

	MixedBilinearForm (FiniteElementSpace tr_fes, FiniteElementSpace te_fes, MixedBilinearForm *mbf)
	Create a MixedBilinearForm on the given trial, tr_fes, and test, te_fes, FiniteElementSpaces, using the same integrators as the MixedBilinearForm mbf. More...

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)
	Adds a domain integrator. Assumes ownership of bfi. More...

void	AddBoundaryIntegrator (BilinearFormIntegrator *bfi)
	Adds a boundary integrator. Assumes ownership of bfi. More...

void	AddTraceFaceIntegrator (BilinearFormIntegrator *bfi)
	Add a trace face integrator. Assumes ownership of bfi. More...

Array< BilinearFormIntegrator * > *	GetDBFI ()
	Access all integrators added with AddDomainIntegrator(). More...

Array< BilinearFormIntegrator * > *	GetBBFI ()
	Access all integrators added with AddBoundaryIntegrator(). More...

Array< BilinearFormIntegrator * > *	GetTFBFI ()
	Access all integrators added with AddTraceFaceIntegrator(). More...

void	operator= (const double a)

void	Assemble (int skip_zeros=1)

void	ConformingAssemble ()

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

void	EliminateEssentialBCFromTrialDofs (Array< int > &marked_vdofs, const 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=mfem::out, 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 MemoryClass	GetMemoryClass () const
	Return the MemoryClass preferred by the Operator. 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...

Type	GetType () const
	Return the type ID of the Operator class. More...

Protected Attributes
SparseMatrix *	mat
	Owned. More...

FiniteElementSpace *	trial_fes
	Not owned. More...

FiniteElementSpace *	test_fes
	Not owned. More...

int	extern_bfs
	Indicates the BilinearFormIntegrators stored in dom, bdr, and skt are owned by another MixedBilinearForm. More...

Array< BilinearFormIntegrator * >	dom
	Domain integrators. More...

Array< BilinearFormIntegrator * >	bdr
	Boundary integrators. More...

Array< BilinearFormIntegrator * >	skt
	Trace face (skeleton) integrators. More...

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::Matrix
enum	DiagonalPolicy { DIAG_ZERO, DIAG_ONE, DIAG_KEEP }

Public Types inherited from mfem::Operator
enum	Type { ANY_TYPE, MFEM_SPARSEMAT, Hypre_ParCSR, PETSC_MATAIJ, PETSC_MATIS, PETSC_MATSHELL, PETSC_MATNEST, PETSC_MATHYPRE, PETSC_MATGENERIC }
	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 508 of file bilinearform.hpp.

Constructor & Destructor Documentation

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

Construct a MixedBilinearForm on the given trial, tr_fes, and test, te_fes, FiniteElementSpaces.

The pointers tr_fes and te_fes are not owned by the newly constructed object.

Definition at line 998 of file bilinearform.cpp.

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

Create a MixedBilinearForm on the given trial, tr_fes, and test, te_fes, FiniteElementSpaces, using the same integrators as the MixedBilinearForm mbf.

The pointers tr_fes and te_fes are not owned by the newly constructed object.

The integrators in mbf are copied as pointers and they are not owned by the newly constructed MixedBilinearForm.

Definition at line 1008 of file bilinearform.cpp.

mfem::MixedBilinearForm::~MixedBilinearForm ( )

virtual

Definition at line 1256 of file bilinearform.cpp.

Member Function Documentation

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

Adds a boundary integrator. Assumes ownership of bfi.

Definition at line 1078 of file bilinearform.cpp.

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

Adds a domain integrator. Assumes ownership of bfi.

Definition at line 1073 of file bilinearform.cpp.

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

virtual

Definition at line 1039 of file bilinearform.cpp.

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

virtual

Definition at line 1045 of file bilinearform.cpp.

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

Add a trace face integrator. Assumes ownership of bfi.

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 1083 of file bilinearform.cpp.

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

Definition at line 1088 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 1173 of file bilinearform.cpp.

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

virtual

Returns reference to a_{ij}.

Implements mfem::Matrix.

Definition at line 1024 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 1029 of file bilinearform.cpp.

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

Definition at line 1222 of file bilinearform.cpp.

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

virtual

Definition at line 1228 of file bilinearform.cpp.

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

Definition at line 1199 of file bilinearform.cpp.

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

virtual

Finalizes the matrix initialization.

Reimplemented from mfem::Matrix.

Definition at line 1056 of file bilinearform.cpp.

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

inline

Access all integrators added with AddBoundaryIntegrator().

Definition at line 600 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 1061 of file bilinearform.cpp.

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

inline

Access all integrators added with AddDomainIntegrator().

Definition at line 597 of file bilinearform.hpp.

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

inline

Access all integrators added with AddTraceFaceIntegrator().

Definition at line 603 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 1051 of file bilinearform.cpp.

SparseMatrix* mfem::MixedBilinearForm::LoseMat ( )

inline

Definition at line 581 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 1034 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 567 of file bilinearform.hpp.

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

inline

Definition at line 605 of file bilinearform.hpp.

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

inline

Definition at line 579 of file bilinearform.hpp.

SparseMatrix& mfem::MixedBilinearForm::SpMat ( )

inline

Definition at line 580 of file bilinearform.hpp.

void mfem::MixedBilinearForm::Update ( )

Definition at line 1248 of file bilinearform.cpp.

Member Data Documentation

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

protected

Boundary integrators.

Definition at line 523 of file bilinearform.hpp.

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

protected

Domain integrators.

Definition at line 521 of file bilinearform.hpp.

int mfem::MixedBilinearForm::extern_bfs

protected

Indicates the BilinearFormIntegrators stored in dom, bdr, and skt are owned by another MixedBilinearForm.

Definition at line 518 of file bilinearform.hpp.

SparseMatrix* mfem::MixedBilinearForm::mat

protected

Owned.

Definition at line 511 of file bilinearform.hpp.

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

protected

Trace face (skeleton) integrators.

Definition at line 525 of file bilinearform.hpp.

FiniteElementSpace * mfem::MixedBilinearForm::test_fes

protected

Not owned.

Definition at line 513 of file bilinearform.hpp.

FiniteElementSpace* mfem::MixedBilinearForm::trial_fes

protected

Not owned.

Definition at line 513 of file bilinearform.hpp.

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

fem/bilinearform.hpp
fem/bilinearform.cpp

Public Member Functions

Protected Attributes

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation