#include <bilinearform.hpp>

Inheritance diagram for BilinearForm:

Collaboration diagram for BilinearForm:

Public Member Functions
	BilinearForm (FiniteElementSpace *f)
	Creates bilinear form associated with FE space *f.
	BilinearForm (FiniteElementSpace f, BilinearForm bf)
Array< BilinearFormIntegrator * > *	GetDBFI ()
Array< BilinearFormIntegrator * > *	GetBBFI ()
Array< BilinearFormIntegrator * > *	GetFBFI ()
Array< BilinearFormIntegrator * > *	GetBFBFI ()
const double &	operator() (int i, int j)
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
	Matrix vector multiplication.
void	FullMult (const Vector &x, Vector &y) const
virtual void	AddMult (const Vector &x, Vector &y, const double a=1.0) const
void	FullAddMult (const Vector &x, Vector &y) const
double	InnerProduct (const Vector &x, const Vector &y) const
virtual MatrixInverse *	Inverse () const
	Returns a pointer to (approximation) of the matrix inverse.
virtual void	Finalize (int skip_zeros=1)
	Finalizes the matrix initialization.
const SparseMatrix &	SpMat () const
	Returns a reference to the sparse martix.
SparseMatrix &	SpMat ()
void	AddDomainIntegrator (BilinearFormIntegrator *bfi)
	Adds new Domain Integrator.
void	AddBoundaryIntegrator (BilinearFormIntegrator *bfi)
	Adds new Boundary Integrator.
void	AddInteriorFaceIntegrator (BilinearFormIntegrator *bfi)
	Adds new interior Face Integrator.
void	AddBdrFaceIntegrator (BilinearFormIntegrator *bfi)
	Adds new boundary Face Integrator.
void	operator= (const double a)
void	Assemble (int skip_zeros=1)
	Assembles the form i.e. sums over all domain/bdr integrators.
void	ComputeElementMatrices ()
	Compute and store internally all element matrices.
void	FreeElementMatrices ()
	Free the memory used by the element matrices.
void	ComputeElementMatrix (int i, DenseMatrix &elmat)
void	AssembleElementMatrix (int i, const DenseMatrix &elmat, Array< int > &vdofs, int skip_zeros=1)
void	EliminateEssentialBC (Array< int > &bdr_attr_is_ess, Vector &sol, Vector &rhs, int d=0)
void	EliminateVDofs (Array< int > &vdofs, Vector &sol, Vector &rhs, int d=0)
	Here, vdofs is a list of DOFs.
void	EliminateVDofs (Array< int > &vdofs, int d=0)
void	EliminateVDofsInRHS (Array< int > &vdofs, const Vector &x, Vector &b)
double	FullInnerProduct (const Vector &x, const Vector &y) const
void	EliminateEssentialBC (Array< int > &bdr_attr_is_ess, int d=0)
void	EliminateEssentialBCFromDofs (Array< int > &ess_dofs, Vector &sol, Vector &rhs, int d=0)
void	EliminateEssentialBCFromDofs (Array< int > &ess_dofs, int d=0)
void	Update (FiniteElementSpace *nfes=NULL)
FiniteElementSpace *	GetFES ()
virtual	~BilinearForm ()
	Destroys bilinear form.
Protected Member Functions
	BilinearForm ()
Protected Attributes
SparseMatrix *	mat
	Sparse matrix to be associated with the form.
SparseMatrix *	mat_e
FiniteElementSpace *	fes
	FE space on which the form lives.
int	extern_bfs
Array< BilinearFormIntegrator * >	dbfi
	Set of Domain Integrators to be applied.
Array< BilinearFormIntegrator * >	bbfi
	Set of Boundary Integrators to be applied.
Array< BilinearFormIntegrator * >	fbfi
	Set of interior face Integrators to be applied.
Array< BilinearFormIntegrator * >	bfbfi
	Set of boundary face Integrators to be applied.
DenseMatrix	elemmat
Array< int >	vdofs
DenseTensor *	element_matrices

Detailed Description

Class for bilinear form - "Matrix" with asociated FE space and BLFIntegrators.

Definition at line 18 of file bilinearform.hpp.

Constructor & Destructor Documentation

BilinearForm::BilinearForm ( ) [inline, protected]

Definition at line 50 of file bilinearform.hpp.

References element_matrices, extern_bfs, fes, mat, and mat_e.

BilinearForm::BilinearForm ( FiniteElementSpace * f )

Creates bilinear form associated with FE space *f.

Definition at line 17 of file bilinearform.cpp.

References element_matrices, extern_bfs, fes, mat, and mat_e.

BilinearForm::BilinearForm	(	FiniteElementSpace *	f,
		BilinearForm *	bf
	)

Definition at line 26 of file bilinearform.cpp.

References bbfi, bfbfi, dbfi, element_matrices, extern_bfs, fbfi, fes, GetBBFI(), GetBFBFI(), GetDBFI(), GetFBFI(), mat, mat_e, Array< T >::SetSize(), Array< T >::Size(), and Operator::size.

BilinearForm::~BilinearForm ( ) [virtual]

Destroys bilinear form.

Definition at line 390 of file bilinearform.cpp.

References bbfi, bfbfi, dbfi, element_matrices, extern_bfs, fbfi, mat, mat_e, and Array< T >::Size().

Member Function Documentation

void BilinearForm::AddBdrFaceIntegrator ( BilinearFormIntegrator * bfi )

Adds new boundary Face Integrator.

Definition at line 101 of file bilinearform.cpp.

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

void BilinearForm::AddBoundaryIntegrator ( BilinearFormIntegrator * bfi )

Adds new Boundary Integrator.

Definition at line 91 of file bilinearform.cpp.

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

void BilinearForm::AddDomainIntegrator ( BilinearFormIntegrator * bfi )

Adds new Domain Integrator.

Definition at line 86 of file bilinearform.cpp.

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

Referenced by main().

void BilinearForm::AddInteriorFaceIntegrator ( BilinearFormIntegrator * bfi )

Adds new interior Face Integrator.

Definition at line 96 of file bilinearform.cpp.

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

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

Definition at line 81 of file bilinearform.hpp.

References AddMult(), and mat.

Referenced by AddMult().

void BilinearForm::Assemble ( int skip_zeros = 1 )

Assembles the form i.e. sums over all domain/bdr integrators.

Definition at line 145 of file bilinearform.cpp.

References SparseMatrix::AddSubMatrix(), Array< T >::Append(), AssembleElementMatrix(), bbfi, bfbfi, ComputeElementMatrices(), dbfi, element_matrices, elemmat, fbfi, fes, FreeElementMatrices(), FiniteElementSpace::GetBE(), FiniteElementSpace::GetElementTransformation(), FiniteElementSpace::GetElementVDofs(), FiniteElementSpace::GetFE(), mat, Array< T >::Size(), Operator::size, and vdofs.

Referenced by main().

void BilinearForm::AssembleElementMatrix	(	int	i,
		const DenseMatrix &	elmat,
		Array< int > &	vdofs,
		int	skip_zeros = `1`
	)

Definition at line 136 of file bilinearform.cpp.

References SparseMatrix::AddSubMatrix(), fes, FiniteElementSpace::GetElementVDofs(), mat, and Operator::size.

Referenced by Assemble().

void BilinearForm::ComputeElementMatrices ( )

Compute and store internally all element matrices.

Definition at line 253 of file bilinearform.cpp.

References DenseMatrix::ClearExternalData(), dbfi, element_matrices, fes, DenseTensor::GetData(), FiniteElement::GetDof(), FiniteElementSpace::GetElementTransformation(), FiniteElementSpace::GetFE(), FiniteElementSpace::GetNE(), FiniteElementSpace::GetVDim(), mfem_error(), and Array< T >::Size().

Referenced by Assemble().

void BilinearForm::ComputeElementMatrix	(	int	i,
		DenseMatrix &	elmat
	)

Definition at line 106 of file bilinearform.cpp.

References dbfi, element_matrices, elemmat, fes, DenseTensor::GetData(), FiniteElementSpace::GetElementTransformation(), FiniteElementSpace::GetElementVDofs(), FiniteElementSpace::GetFE(), DenseMatrix::SetSize(), Array< T >::Size(), DenseTensor::SizeI(), DenseTensor::SizeJ(), and vdofs.

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

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

Implements Matrix.

Definition at line 59 of file bilinearform.cpp.

References mat.

Referenced by Elem().

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

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

Implements Matrix.

Definition at line 64 of file bilinearform.cpp.

References Elem(), and mat.

void BilinearForm::EliminateEssentialBC	(	Array< int > &	bdr_attr_is_ess,
		int	d = `0`
	)

Definition at line 345 of file bilinearform.cpp.

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

void BilinearForm::EliminateEssentialBC	(	Array< int > &	bdr_attr_is_ess,
		Vector &	sol,
		Vector &	rhs,
		int	d = `0`
	)

If d == 0 the diagonal at the ess. b.c. is set to 1.0, otherwise leave it the same.

Definition at line 293 of file bilinearform.cpp.

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

Referenced by main().

void BilinearForm::EliminateEssentialBCFromDofs	(	Array< int > &	ess_dofs,
		Vector &	sol,
		Vector &	rhs,
		int	d = `0`
	)

Similar to EliminateVDofs but here ess_dofs is a marker (boolean) array on all vdofs (ess_dofs[i] < 0 is true).

Definition at line 362 of file bilinearform.cpp.

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

Referenced by main().

void BilinearForm::EliminateEssentialBCFromDofs	(	Array< int > &	ess_dofs,
		int	d = `0`
	)

Similar to EliminateVDofs but here ess_dofs is a marker (boolean) array on all vdofs (ess_dofs[i] < 0 is true).

Definition at line 370 of file bilinearform.cpp.

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

void BilinearForm::EliminateVDofs	(	Array< int > &	vdofs,
		Vector &	sol,
		Vector &	rhs,
		int	d = `0`
	)

Here, vdofs is a list of DOFs.

Definition at line 310 of file bilinearform.cpp.

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

void BilinearForm::EliminateVDofs	(	Array< int > &	vdofs,
		int	d = `0`
	)

Eliminate the given vdofs storing the eliminated part internally; vdofs is a list of DOFs.

Definition at line 323 of file bilinearform.cpp.

References mat, mat_e, Array< T >::Size(), and Operator::size.

void BilinearForm::EliminateVDofsInRHS	(	Array< int > &	vdofs,
		const Vector &	x,
		Vector &	b
	)

Use the stored eliminated part of the matrix to modify r.h.s.; vdofs is a list of DOFs (non-directional, i.e. >= 0).

Definition at line 338 of file bilinearform.cpp.

References SparseMatrix::AddMult(), mat, mat_e, and SparseMatrix::PartMult().

void BilinearForm::Finalize ( int skip_zeros = 1 ) [virtual]

Finalizes the matrix initialization.

Reimplemented from Matrix.

Definition at line 79 of file bilinearform.cpp.

References mat, and mat_e.

Referenced by main().

void BilinearForm::FreeElementMatrices ( ) [inline]

Free the memory used by the element matrices.

Definition at line 122 of file bilinearform.hpp.

References element_matrices.

Referenced by Assemble(), and Update().

void BilinearForm::FullAddMult	(	const Vector &	x,
		Vector &	y
	)		const `[inline]`

Definition at line 84 of file bilinearform.hpp.

References SparseMatrix::AddMult(), mat, and mat_e.

double BilinearForm::FullInnerProduct	(	const Vector &	x,
		const Vector &	y
	)		const `[inline]`

Definition at line 145 of file bilinearform.hpp.

References SparseMatrix::InnerProduct(), mat, and mat_e.

void BilinearForm::FullMult	(	const Vector &	x,
		Vector &	y
	)		const `[inline]`

Definition at line 78 of file bilinearform.hpp.

References SparseMatrix::AddMult(), mat, mat_e, and SparseMatrix::Mult().

Array<BilinearFormIntegrator*>* BilinearForm::GetBBFI ( ) [inline]

Definition at line 61 of file bilinearform.hpp.

References bbfi.

Referenced by BilinearForm().

Array<BilinearFormIntegrator*>* BilinearForm::GetBFBFI ( ) [inline]

Definition at line 65 of file bilinearform.hpp.

References bfbfi.

Referenced by BilinearForm().

Array<BilinearFormIntegrator*>* BilinearForm::GetDBFI ( ) [inline]

Definition at line 59 of file bilinearform.hpp.

References dbfi.

Referenced by BilinearForm().

Array<BilinearFormIntegrator*>* BilinearForm::GetFBFI ( ) [inline]

Definition at line 63 of file bilinearform.hpp.

References fbfi.

Referenced by BilinearForm().

FiniteElementSpace* BilinearForm::GetFES ( ) [inline]

Definition at line 161 of file bilinearform.hpp.

References fes.

double BilinearForm::InnerProduct	(	const Vector &	x,
		const Vector &	y
	)		const `[inline]`

Definition at line 87 of file bilinearform.hpp.

References SparseMatrix::InnerProduct(), and mat.

MatrixInverse * BilinearForm::Inverse ( ) const [virtual]

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

Implements Matrix.

Definition at line 74 of file bilinearform.cpp.

References mat.

void BilinearForm::Mult	(	const Vector &	x,
		Vector &	y
	)		const `[virtual]`

Matrix vector multiplication.

Implements Operator.

Definition at line 69 of file bilinearform.cpp.

References mat.

const double& BilinearForm::operator()	(	int	i,
		int	j
	)		`[inline]`

Definition at line 67 of file bilinearform.hpp.

References mat.

void BilinearForm::operator= ( const double a ) [inline]

Definition at line 112 of file bilinearform.hpp.

References mat, and mat_e.

SparseMatrix& BilinearForm::SpMat ( ) [inline]

Definition at line 98 of file bilinearform.hpp.

References mat.

const SparseMatrix& BilinearForm::SpMat ( ) const [inline]

Returns a reference to the sparse martix.

Definition at line 97 of file bilinearform.hpp.

References mat.

Referenced by main().

void BilinearForm::Update ( FiniteElementSpace * nfes = NULL )

Definition at line 377 of file bilinearform.cpp.

References fes, FreeElementMatrices(), FiniteElementSpace::GetVSize(), mat, mat_e, and Operator::size.

Member Data Documentation

Array<BilinearFormIntegrator*> BilinearForm::bbfi [protected]

Set of Boundary Integrators to be applied.

Definition at line 36 of file bilinearform.hpp.

Referenced by AddBoundaryIntegrator(), Assemble(), BilinearForm(), GetBBFI(), and ~BilinearForm().

Array<BilinearFormIntegrator*> BilinearForm::bfbfi [protected]

Set of boundary face Integrators to be applied.

Definition at line 42 of file bilinearform.hpp.

Referenced by AddBdrFaceIntegrator(), Assemble(), BilinearForm(), GetBFBFI(), and ~BilinearForm().

Array<BilinearFormIntegrator*> BilinearForm::dbfi [protected]

Set of Domain Integrators to be applied.

Definition at line 33 of file bilinearform.hpp.

Referenced by AddDomainIntegrator(), Assemble(), BilinearForm(), ComputeElementMatrices(), ComputeElementMatrix(), GetDBFI(), and ~BilinearForm().

DenseTensor* BilinearForm::element_matrices [protected]

Definition at line 47 of file bilinearform.hpp.

Referenced by Assemble(), BilinearForm(), ComputeElementMatrices(), ComputeElementMatrix(), FreeElementMatrices(), and ~BilinearForm().

DenseMatrix BilinearForm::elemmat [protected]

Definition at line 44 of file bilinearform.hpp.

Referenced by Assemble(), and ComputeElementMatrix().

int BilinearForm::extern_bfs [protected]

Definition at line 30 of file bilinearform.hpp.

Referenced by BilinearForm(), and ~BilinearForm().

Array<BilinearFormIntegrator*> BilinearForm::fbfi [protected]

Set of interior face Integrators to be applied.

Definition at line 39 of file bilinearform.hpp.

Referenced by AddInteriorFaceIntegrator(), Assemble(), BilinearForm(), GetFBFI(), and ~BilinearForm().

FiniteElementSpace* BilinearForm::fes [protected]

FE space on which the form lives.

Definition at line 28 of file bilinearform.hpp.

Referenced by Assemble(), AssembleElementMatrix(), BilinearForm(), ComputeElementMatrices(), ComputeElementMatrix(), EliminateEssentialBC(), GetFES(), and Update().

SparseMatrix* BilinearForm::mat [protected]

Sparse matrix to be associated with the form.

Definition at line 22 of file bilinearform.hpp.

Referenced by AddMult(), Assemble(), AssembleElementMatrix(), BilinearForm(), Elem(), EliminateEssentialBC(), EliminateEssentialBCFromDofs(), EliminateVDofs(), EliminateVDofsInRHS(), Finalize(), FullAddMult(), FullInnerProduct(), FullMult(), InnerProduct(), Inverse(), Mult(), operator()(), operator=(), ParBilinearForm::ParallelAssemble(), SpMat(), Update(), and ~BilinearForm().

SparseMatrix* BilinearForm::mat_e [protected]

Definition at line 25 of file bilinearform.hpp.

Referenced by BilinearForm(), EliminateVDofs(), EliminateVDofsInRHS(), Finalize(), FullAddMult(), FullInnerProduct(), FullMult(), operator=(), ParBilinearForm::ParallelAssembleElim(), Update(), and ~BilinearForm().

Array<int> BilinearForm::vdofs [protected]

Definition at line 45 of file bilinearform.hpp.

Referenced by Assemble(), ComputeElementMatrix(), and EliminateEssentialBC().

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

Public Member Functions

Protected Member Functions

Protected Attributes

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation