#include <bilinearform.hpp>

Inheritance diagram for mfem::BilinearForm:

Collaboration diagram for mfem::BilinearForm:

Public Member Functions
	BilinearForm (FiniteElementSpace *f)
	Creates bilinear form associated with FE space *f. More...

	BilinearForm (FiniteElementSpace f, BilinearForm bf, int ps=0)

int	Size () const
	Get the size of the BilinearForm as a square matrix. More...

void	EnableStaticCondensation ()

bool	StaticCondensationIsEnabled () const

FiniteElementSpace *	SCFESpace () const
	Return the trace FE space associated with static condensation. More...

void	EnableHybridization (FiniteElementSpace constr_space, BilinearFormIntegrator constr_integ, const Array< int > &ess_tdof_list)

void	UsePrecomputedSparsity (int ps=1)

void	UseSparsity (int I, int J, bool isSorted)
	Use the given CSR sparsity pattern to allocate the internal SparseMatrix. More...

void	UseSparsity (SparseMatrix &A)
	Use the sparsity of A to allocate the internal SparseMatrix. More...

void	AllocateMatrix ()

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}. 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
	Matrix vector multiplication. More...

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

virtual void	AddMultTranspose (const Vector &x, Vector &y, const double a=1.0) const

void	FullAddMultTranspose (const Vector &x, Vector &y) 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...

double	InnerProduct (const Vector &x, const Vector &y) const

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

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

const SparseMatrix &	SpMat () const
	Returns a reference to the sparse matrix. More...

SparseMatrix &	SpMat ()

SparseMatrix *	LoseMat ()

const SparseMatrix &	SpMatElim () const
	Returns a reference to the sparse matrix of eliminated b.c. More...

SparseMatrix &	SpMatElim ()

void	AddDomainIntegrator (BilinearFormIntegrator *bfi)
	Adds new Domain Integrator. More...

void	AddBoundaryIntegrator (BilinearFormIntegrator *bfi)
	Adds new Boundary Integrator. More...

void	AddBoundaryIntegrator (BilinearFormIntegrator *bfi, Array< int > &bdr_marker)
	Adds new Boundary Integrator, restricted to specific boundary attributes. More...

void	AddInteriorFaceIntegrator (BilinearFormIntegrator *bfi)
	Adds new interior Face Integrator. More...

void	AddBdrFaceIntegrator (BilinearFormIntegrator *bfi)
	Adds new boundary Face Integrator. More...

void	AddBdrFaceIntegrator (BilinearFormIntegrator *bfi, Array< int > &bdr_marker)
	Adds new boundary Face Integrator, restricted to specific boundary attributes. More...

void	operator= (const double a)

void	Assemble (int skip_zeros=1)
	Assembles the form i.e. sums over all domain/bdr integrators. More...

virtual const Operator *	GetProlongation () const
	Get the finite element space prolongation matrix. More...

virtual const Operator *	GetRestriction () const
	Get the finite element space restriction matrix. More...

void	FormLinearSystem (const Array< int > &ess_tdof_list, Vector &x, Vector &b, SparseMatrix &A, Vector &X, Vector &B, int copy_interior=0)
	Form a linear system, A X = B. More...

void	FormSystemMatrix (const Array< int > &ess_tdof_list, SparseMatrix &A)
	Form the linear system matrix A, see FormLinearSystem() for details. More...

virtual void	RecoverFEMSolution (const Vector &X, const Vector &b, Vector &x)
	Recover the solution of a linear system formed with FormLinearSystem(). More...

void	ComputeElementMatrices ()
	Compute and store internally all element matrices. More...

void	FreeElementMatrices ()
	Free the memory used by the element matrices. More...

void	ComputeElementMatrix (int i, DenseMatrix &elmat)

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

void	AssembleBdrElementMatrix (int i, const DenseMatrix &elmat, Array< int > &vdofs, int skip_zeros=1)

void	EliminateEssentialBC (const Array< int > &bdr_attr_is_ess, const Vector &sol, Vector &rhs, DiagonalPolicy dpolicy=DIAG_ONE)
	Eliminate essential boundary DOFs from the system. More...

void	EliminateEssentialBC (const Array< int > &bdr_attr_is_ess, DiagonalPolicy dpolicy=DIAG_ONE)
	Eliminate essential boundary DOFs from the system matrix. More...

void	EliminateEssentialBCDiag (const Array< int > &bdr_attr_is_ess, double value)
	Perform elimination and set the diagonal entry to the given value. More...

void	EliminateVDofs (const Array< int > &vdofs, const Vector &sol, Vector &rhs, DiagonalPolicy dpolicy=DIAG_ONE)
	Eliminate the given vdofs. NOTE: here, vdofs is a list of DOFs. More...

void	EliminateVDofs (const Array< int > &vdofs, DiagonalPolicy dpolicy=DIAG_ONE)
	Eliminate the given vdofs, storing the eliminated part internally. More...

void	EliminateEssentialBCFromDofs (const Array< int > &ess_dofs, const Vector &sol, Vector &rhs, DiagonalPolicy dpolicy=DIAG_ONE)
	Similar to EliminateVDofs(const Array<int> &, const Vector &, Vector &, DiagonalPolicy) but here ess_dofs is a marker (boolean) array on all vector-dofs (ess_dofs[i] < 0 is true). More...

void	EliminateEssentialBCFromDofs (const Array< int > &ess_dofs, DiagonalPolicy dpolicy=DIAG_ONE)
	Similar to EliminateVDofs(const Array<int> &, DiagonalPolicy) but here ess_dofs is a marker (boolean) array on all vector-dofs (ess_dofs[i] < 0 is true). More...

void	EliminateEssentialBCFromDofsDiag (const Array< int > &ess_dofs, double value)
	Perform elimination and set the diagonal entry to the given value. More...

void	EliminateVDofsInRHS (const Array< int > &vdofs, const Vector &x, Vector &b)
	Use the stored eliminated part of the matrix (see EliminateVDofs(const Array<int> &, DiagonalPolicy)) to modify the r.h.s. b; vdofs is a list of DOFs (non-directional, i.e. >= 0). More...

double	FullInnerProduct (const Vector &x, const Vector &y) const

virtual void	Update (FiniteElementSpace *nfes=NULL)

FiniteElementSpace *	GetFES ()
	(DEPRECATED) Return the FE space associated with the BilinearForm. More...

FiniteElementSpace *	FESpace ()
	Return the FE space associated with the BilinearForm. More...

const FiniteElementSpace *	FESpace () const
	Read-only access to the associated FiniteElementSpace. More...

void	SetDiagonalPolicy (DiagonalPolicy policy)
	Sets diagonal policy used upon construction of the linear system. More...

virtual	~BilinearForm ()
	Destroys bilinear form. More...

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 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...

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...

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 Member Functions
void	AllocMat ()

void	ConformingAssemble ()

	BilinearForm ()

Protected Attributes
SparseMatrix *	mat
	Sparse matrix to be associated with the form. More...

SparseMatrix *	mat_e
	Matrix used to eliminate b.c. More...

FiniteElementSpace *	fes
	FE space on which the form lives. More...

long	sequence

int	extern_bfs

Array< BilinearFormIntegrator * >	dbfi
	Set of Domain Integrators to be applied. More...

Array< BilinearFormIntegrator * >	bbfi
	Set of Boundary Integrators to be applied. More...

Array< Array< int > * >	bbfi_marker

Array< BilinearFormIntegrator * >	fbfi
	Set of interior face Integrators to be applied. More...

Array< BilinearFormIntegrator * >	bfbfi
	Set of boundary face Integrators to be applied. More...

Array< Array< int > * >	bfbfi_marker

DenseMatrix	elemmat

Array< int >	vdofs

DenseTensor *	element_matrices

StaticCondensation *	static_cond

Hybridization *	hybridization

DiagonalPolicy	diag_policy

int	precompute_sparsity

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 bilinear form - "Matrix" with associated FE space and BLFIntegrators.

Definition at line 29 of file bilinearform.hpp.

Constructor & Destructor Documentation

mfem::BilinearForm::BilinearForm ( )

inlineprotected

Definition at line 83 of file bilinearform.hpp.

mfem::BilinearForm::BilinearForm ( FiniteElementSpace * f )

Creates bilinear form associated with FE space *f.

Definition at line 65 of file bilinearform.cpp.

mfem::BilinearForm::BilinearForm	(	FiniteElementSpace *	f,
		BilinearForm *	bf,
		int	ps = `0`
	)

Definition at line 79 of file bilinearform.cpp.

mfem::BilinearForm::~BilinearForm ( )

virtual

Destroys bilinear form.

Definition at line 918 of file bilinearform.cpp.

Member Function Documentation

void mfem::BilinearForm::AddBdrFaceIntegrator ( BilinearFormIntegrator * bfi )

Adds new boundary Face Integrator.

Definition at line 225 of file bilinearform.cpp.

void mfem::BilinearForm::AddBdrFaceIntegrator	(	BilinearFormIntegrator *	bfi,
		Array< int > &	bdr_marker
	)

Adds new boundary Face Integrator, restricted to specific boundary attributes.

Definition at line 231 of file bilinearform.cpp.

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

Adds new Boundary Integrator.

Definition at line 207 of file bilinearform.cpp.

void mfem::BilinearForm::AddBoundaryIntegrator	(	BilinearFormIntegrator *	bfi,
		Array< int > &	bdr_marker
	)

Adds new Boundary Integrator, restricted to specific boundary attributes.

Definition at line 213 of file bilinearform.cpp.

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

Adds new Domain Integrator.

Definition at line 202 of file bilinearform.cpp.

void mfem::BilinearForm::AddInteriorFaceIntegrator ( BilinearFormIntegrator * bfi )

Adds new interior Face Integrator.

Definition at line 220 of file bilinearform.cpp.

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

inlinevirtual

Definition at line 168 of file bilinearform.hpp.

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

inlinevirtual

Definition at line 174 of file bilinearform.hpp.

void mfem::BilinearForm::AllocateMatrix ( )

inline

Pre-allocate the internal SparseMatrix before assembly. If the flag 'precompute sparsity' is set, the matrix is allocated in CSR format (i.e. finalized) and the entries are initialized with zeros.

Definition at line 144 of file bilinearform.hpp.

void mfem::BilinearForm::AllocMat ( )

protected

Definition at line 20 of file bilinearform.cpp.

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

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

Definition at line 310 of file bilinearform.cpp.

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

Definition at line 288 of file bilinearform.cpp.

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

Definition at line 266 of file bilinearform.cpp.

void mfem::BilinearForm::ComputeElementMatrices ( )

Compute and store internally all element matrices.

Definition at line 694 of file bilinearform.cpp.

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

Definition at line 238 of file bilinearform.cpp.

void mfem::BilinearForm::ConformingAssemble ( )

protected

Definition at line 508 of file bilinearform.cpp.

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

virtual

Returns reference to a_{ij}.

Implements mfem::Matrix.

Definition at line 179 of file bilinearform.cpp.

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

virtual

Returns constant reference to a_{ij}.

Implements mfem::Matrix.

Definition at line 184 of file bilinearform.cpp.

void mfem::BilinearForm::EliminateEssentialBC	(	const Array< int > &	bdr_attr_is_ess,
		const Vector &	sol,
		Vector &	rhs,
		DiagonalPolicy	dpolicy = `DIAG_ONE`
	)

Eliminate essential boundary DOFs from the system.

The array bdr_attr_is_ess marks boundary attributes that constitute the essential part of the boundary. By default, the diagonal at the essential DOFs is set to 1.0. This behavior is controlled by the argument dpolicy.

Definition at line 736 of file bilinearform.cpp.

void mfem::BilinearForm::EliminateEssentialBC	(	const Array< int > &	bdr_attr_is_ess,
		DiagonalPolicy	dpolicy = `DIAG_ONE`
	)

Eliminate essential boundary DOFs from the system matrix.

Definition at line 753 of file bilinearform.cpp.

void mfem::BilinearForm::EliminateEssentialBCDiag	(	const Array< int > &	bdr_attr_is_ess,
		double	value
	)

Perform elimination and set the diagonal entry to the given value.

Definition at line 770 of file bilinearform.cpp.

void mfem::BilinearForm::EliminateEssentialBCFromDofs	(	const Array< int > &	ess_dofs,
		const Vector &	sol,
		Vector &	rhs,
		DiagonalPolicy	dpolicy = `DIAG_ONE`
	)

Similar to EliminateVDofs(const Array<int> &, const Vector &, Vector &, DiagonalPolicy) but here ess_dofs is a marker (boolean) array on all vector-dofs (ess_dofs[i] < 0 is true).

Definition at line 827 of file bilinearform.cpp.

void mfem::BilinearForm::EliminateEssentialBCFromDofs	(	const Array< int > &	ess_dofs,
		DiagonalPolicy	dpolicy = `DIAG_ONE`
	)

Similar to EliminateVDofs(const Array<int> &, DiagonalPolicy) but here ess_dofs is a marker (boolean) array on all vector-dofs (ess_dofs[i] < 0 is true).

Definition at line 842 of file bilinearform.cpp.

void mfem::BilinearForm::EliminateEssentialBCFromDofsDiag	(	const Array< int > &	ess_dofs,
		double	value
	)

Perform elimination and set the diagonal entry to the given value.

Definition at line 854 of file bilinearform.cpp.

void mfem::BilinearForm::EliminateVDofs	(	const Array< int > &	vdofs,
		const Vector &	sol,
		Vector &	rhs,
		DiagonalPolicy	dpolicy = `DIAG_ONE`
	)

Eliminate the given vdofs. NOTE: here, vdofs is a list of DOFs.

Definition at line 787 of file bilinearform.cpp.

void mfem::BilinearForm::EliminateVDofs	(	const Array< int > &	vdofs,
		DiagonalPolicy	dpolicy = `DIAG_ONE`
	)

Eliminate the given vdofs, storing the eliminated part internally.

This method works in conjunction with EliminateVDofsInRHS() and allows elimination of boundary conditions in multiple right-hand sides. In this method, vdofs is a list of DOFs.

Definition at line 805 of file bilinearform.cpp.

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

Use the stored eliminated part of the matrix (see EliminateVDofs(const Array<int> &, DiagonalPolicy)) to modify the r.h.s. b; vdofs is a list of DOFs (non-directional, i.e. >= 0).

Definition at line 866 of file bilinearform.cpp.

void mfem::BilinearForm::EnableHybridization	(	FiniteElementSpace *	constr_space,
		BilinearFormIntegrator *	constr_integ,
		const Array< int > &	ess_tdof_list
	)

Enable hybridization; for details see the description for class Hybridization in fem/hybridization.hpp. This method should be called before assembly.

Definition at line 143 of file bilinearform.cpp.

void mfem::BilinearForm::EnableStaticCondensation ( )

Enable the use of static condensation. For details see the description for class StaticCondensation in fem/staticcond.hpp This method should be called before assembly. If the number of unknowns after static condensation is not reduced, it is not enabled.

Definition at line 126 of file bilinearform.cpp.

FiniteElementSpace* mfem::BilinearForm::FESpace ( )

inline

Return the FE space associated with the BilinearForm.

Definition at line 367 of file bilinearform.hpp.

const FiniteElementSpace* mfem::BilinearForm::FESpace ( ) const

inline

Read-only access to the associated FiniteElementSpace.

Definition at line 369 of file bilinearform.hpp.

void mfem::BilinearForm::Finalize ( int skip_zeros = 1 )

virtual

Finalizes the matrix initialization.

Reimplemented from mfem::Matrix.

Definition at line 194 of file bilinearform.cpp.

void mfem::BilinearForm::FormLinearSystem	(	const Array< int > &	ess_tdof_list,
		Vector &	x,
		Vector &	b,
		SparseMatrix &	A,
		Vector &	X,
		Vector &	B,
		int	copy_interior = `0`
	)

Form a linear system, A X = B.

Form the linear system A X = B, corresponding to the current bilinear form and b(.), by applying any necessary transformations such as: eliminating boundary conditions; applying conforming constraints for non-conforming AMR; static condensation; hybridization.

The GridFunction-size vector x must contain the essential b.c. The BilinearForm and the LinearForm-size vector b must be assembled.

The vector X is initialized with a suitable initial guess: when using hybridization, the vector X is set to zero; otherwise, the essential entries of X are set to the corresponding b.c. and all other entries are set to zero (copy_interior == 0) or copied from x (copy_interior != 0).

This method can be called multiple times (with the same ess_tdof_list array) to initialize different right-hand sides and boundary condition values.

After solving the linear system, the finite element solution x can be recovered by calling RecoverFEMSolution() (with the same vectors X, b, and x).

NOTE: If there are no transformations, X simply reuses the data of x.

Definition at line 543 of file bilinearform.cpp.

void mfem::BilinearForm::FormSystemMatrix	(	const Array< int > &	ess_tdof_list,
		SparseMatrix &	A
	)

Form the linear system matrix A, see FormLinearSystem() for details.

Definition at line 609 of file bilinearform.cpp.

void mfem::BilinearForm::FreeElementMatrices ( )

inline

Free the memory used by the element matrices.

Definition at line 299 of file bilinearform.hpp.

void mfem::BilinearForm::FullAddMult	(	const Vector &	x,
		Vector &	y
	)		const

inline

Definition at line 171 of file bilinearform.hpp.

void mfem::BilinearForm::FullAddMultTranspose	(	const Vector &	x,
		Vector &	y
	)		const

inline

Definition at line 178 of file bilinearform.hpp.

double mfem::BilinearForm::FullInnerProduct	(	const Vector &	x,
		const Vector &	y
	)		const

inline

Definition at line 357 of file bilinearform.hpp.

void mfem::BilinearForm::FullMult	(	const Vector &	x,
		Vector &	y
	)		const

inline

Definition at line 165 of file bilinearform.hpp.

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

inline

Definition at line 148 of file bilinearform.hpp.

Array<BilinearFormIntegrator*>* mfem::BilinearForm::GetBFBFI ( )

inline

Definition at line 152 of file bilinearform.hpp.

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

inline

Definition at line 146 of file bilinearform.hpp.

Array<BilinearFormIntegrator*>* mfem::BilinearForm::GetFBFI ( )

inline

Definition at line 150 of file bilinearform.hpp.

FiniteElementSpace* mfem::BilinearForm::GetFES ( )

inline

(DEPRECATED) Return the FE space associated with the BilinearForm.

Deprecated:: Use FESpace() instead.

Definition at line 364 of file bilinearform.hpp.

virtual const Operator* mfem::BilinearForm::GetProlongation ( ) const

inlinevirtual

Get the finite element space prolongation matrix.

Reimplemented from mfem::Operator.

Reimplemented in mfem::ParBilinearForm.

Definition at line 250 of file bilinearform.hpp.

virtual const Operator* mfem::BilinearForm::GetRestriction ( ) const

inlinevirtual

Get the finite element space restriction matrix.

Reimplemented from mfem::Operator.

Reimplemented in mfem::ParBilinearForm.

Definition at line 253 of file bilinearform.hpp.

double mfem::BilinearForm::InnerProduct	(	const Vector &	x,
		const Vector &	y
	)		const

inline

Definition at line 184 of file bilinearform.hpp.

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

virtual

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

Implements mfem::Matrix.

Definition at line 189 of file bilinearform.cpp.

SparseMatrix* mfem::BilinearForm::LoseMat ( )

inline

Definition at line 204 of file bilinearform.hpp.

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

inlinevirtual

Matrix vector multiplication.

Implements mfem::Operator.

Definition at line 163 of file bilinearform.hpp.

virtual void mfem::BilinearForm::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 181 of file bilinearform.hpp.

const double& mfem::BilinearForm::operator()	(	int	i,
		int	j
	)

inline

Definition at line 154 of file bilinearform.hpp.

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

inline

Definition at line 240 of file bilinearform.hpp.

void mfem::BilinearForm::RecoverFEMSolution	(	const Vector &	X,
		const Vector &	b,
		Vector &	x
	)

virtual

Recover the solution of a linear system formed with FormLinearSystem().

Call this method after solving a linear system constructed using the FormLinearSystem() method to recover the solution as a GridFunction-size vector in x. Use the same arguments as in the FormLinearSystem() call.

Reimplemented from mfem::Operator.

Reimplemented in mfem::ParBilinearForm.

Definition at line 646 of file bilinearform.cpp.

FiniteElementSpace* mfem::BilinearForm::SCFESpace ( ) const

inline

Return the trace FE space associated with static condensation.

Definition at line 112 of file bilinearform.hpp.

void mfem::BilinearForm::SetDiagonalPolicy ( DiagonalPolicy policy )

Sets diagonal policy used upon construction of the linear system.

Definition at line 913 of file bilinearform.cpp.

int mfem::BilinearForm::Size ( ) const

inline

Get the size of the BilinearForm as a square matrix.

Definition at line 99 of file bilinearform.hpp.

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

inline

Returns a reference to the sparse matrix.

Definition at line 194 of file bilinearform.hpp.

SparseMatrix& mfem::BilinearForm::SpMat ( )

inline

Definition at line 199 of file bilinearform.hpp.

const SparseMatrix& mfem::BilinearForm::SpMatElim ( ) const

inline

Returns a reference to the sparse matrix of eliminated b.c.

Definition at line 207 of file bilinearform.hpp.

SparseMatrix& mfem::BilinearForm::SpMatElim ( )

inline

Definition at line 212 of file bilinearform.hpp.

bool mfem::BilinearForm::StaticCondensationIsEnabled ( ) const

inline

Check if static condensation was actually enabled by a previous call to EnableStaticCondensation().

Definition at line 109 of file bilinearform.hpp.

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

virtual

Reimplemented in mfem::ParBilinearForm.

Definition at line 873 of file bilinearform.cpp.

void mfem::BilinearForm::UsePrecomputedSparsity ( int ps = 1 )

inline

For scalar FE spaces, precompute the sparsity pattern of the matrix (assuming dense element matrices) based on the types of integrators present in the bilinear form.

Definition at line 125 of file bilinearform.hpp.

void mfem::BilinearForm::UseSparsity	(	int *	I,
		int *	J,
		bool	isSorted
	)

Use the given CSR sparsity pattern to allocate the internal SparseMatrix.

The I and J arrays must define a square graph with size equal to GetVSize() of the associated FiniteElementSpace.
This method should be called after enabling static condensation or hybridization, if used.
In the case of static condensation, I and J are not used.
The ownership of the arrays I and J remains with the caller.

Definition at line 153 of file bilinearform.cpp.

void mfem::BilinearForm::UseSparsity ( SparseMatrix & A )

Use the sparsity of A to allocate the internal SparseMatrix.

Definition at line 169 of file bilinearform.cpp.

Member Data Documentation

Array<BilinearFormIntegrator*> mfem::BilinearForm::bbfi

protected

Set of Boundary Integrators to be applied.

Definition at line 51 of file bilinearform.hpp.

Array<Array<int>*> mfem::BilinearForm::bbfi_marker

protected

Definition at line 52 of file bilinearform.hpp.

Array<BilinearFormIntegrator*> mfem::BilinearForm::bfbfi

protected

Set of boundary face Integrators to be applied.

Definition at line 58 of file bilinearform.hpp.

Array<Array<int>*> mfem::BilinearForm::bfbfi_marker

protected

Definition at line 59 of file bilinearform.hpp.

Array<BilinearFormIntegrator*> mfem::BilinearForm::dbfi

protected

Set of Domain Integrators to be applied.

Definition at line 48 of file bilinearform.hpp.

DiagonalPolicy mfem::BilinearForm::diag_policy

protected

This member allows one to specify what should be done to the diagonal matrix entries and corresponding RHS values upon elimination of the constrained DoFs.

Definition at line 74 of file bilinearform.hpp.

DenseTensor* mfem::BilinearForm::element_matrices

protected

Definition at line 64 of file bilinearform.hpp.

DenseMatrix mfem::BilinearForm::elemmat

protected

Definition at line 61 of file bilinearform.hpp.

int mfem::BilinearForm::extern_bfs

protected

Definition at line 45 of file bilinearform.hpp.

Array<BilinearFormIntegrator*> mfem::BilinearForm::fbfi

protected

Set of interior face Integrators to be applied.

Definition at line 55 of file bilinearform.hpp.

FiniteElementSpace* mfem::BilinearForm::fes

protected

FE space on which the form lives.

Definition at line 39 of file bilinearform.hpp.

Hybridization* mfem::BilinearForm::hybridization

protected

Definition at line 67 of file bilinearform.hpp.

SparseMatrix* mfem::BilinearForm::mat

protected

Sparse matrix to be associated with the form.

Definition at line 33 of file bilinearform.hpp.

SparseMatrix* mfem::BilinearForm::mat_e

protected

Matrix used to eliminate b.c.

Definition at line 36 of file bilinearform.hpp.

int mfem::BilinearForm::precompute_sparsity

protected

Definition at line 76 of file bilinearform.hpp.

long mfem::BilinearForm::sequence

protected

Indicates the Mesh::sequence corresponding to the current state of the BilinearForm.

Definition at line 43 of file bilinearform.hpp.

StaticCondensation* mfem::BilinearForm::static_cond

protected

Definition at line 66 of file bilinearform.hpp.

Array<int> mfem::BilinearForm::vdofs

protected

Definition at line 62 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 Member Functions

Protected Attributes

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation