Class for parallel bilinear form. More...

#include <pbilinearform.hpp>

Inheritance diagram for mfem::ParBilinearForm:

Collaboration diagram for mfem::ParBilinearForm:

Public Member Functions
	ParBilinearForm (ParFiniteElementSpace *pf)

	ParBilinearForm (ParFiniteElementSpace pf, ParBilinearForm bf)

void	KeepNbrBlock (bool knb=true)

void	Assemble (int skip_zeros=1)
	Assemble the local matrix. More...

HypreParMatrix *	ParallelAssemble ()
	Returns the matrix assembled on the true dofs, i.e. P^t A P. More...

HypreParMatrix *	ParallelAssembleElim ()
	Returns the eliminated matrix assembled on the true dofs, i.e. P^t A_e P. More...

HypreParMatrix *	ParallelAssemble (SparseMatrix *m)
	Return the matrix m assembled on the true dofs, i.e. P^t A P. More...

void	ParallelEliminateEssentialBC (const Array< int > &bdr_attr_is_ess, HypreParMatrix &A, const HypreParVector &X, HypreParVector &B) const

HypreParMatrix *	ParallelEliminateEssentialBC (const Array< int > &bdr_attr_is_ess, HypreParMatrix &A) const

HypreParMatrix *	ParallelEliminateTDofs (const Array< int > &tdofs_list, HypreParMatrix &A) const

void	TrueAddMult (const Vector &x, Vector &y, const double a=1.0) const
	Compute y += a (P^t A P) x, where x and y are vectors on the true dofs. More...

ParFiniteElementSpace *	ParFESpace () const
	Return the parallel FE space associated with the ParBilinearForm. More...

ParFiniteElementSpace *	SCParFESpace () const
	Return the parallel trace FE space associated with static condensation. More...

void	FormLinearSystem (Array< int > &ess_tdof_list, Vector &x, Vector &b, HypreParMatrix &A, Vector &X, Vector &B, int copy_interior=0)

void	RecoverFEMSolution (const Vector &X, const Vector &b, Vector &x)

virtual void	Update (FiniteElementSpace *nfes=NULL)

virtual	~ParBilinearForm ()

Public Member Functions inherited from mfem::BilinearForm
	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	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

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 ()

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

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

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

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

void	operator= (const double a)

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

void	ConformingAssemble ()

void	ConformingAssemble (GridFunction &sol, LinearForm &rhs)

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

void	RecoverFEMSolution (const Vector &X, const Vector &b, Vector &x)

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

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

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

void	EliminateVDofs (Array< int > &vdofs, Vector &sol, Vector &rhs, int d=0)
	Eliminate the given vdofs. NOTE: here, vdofs is a list of DOFs. More...

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

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

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

FiniteElementSpace *	GetFES ()
	Return the FE space associated with the BilinearForm. 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=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 void	MultTranspose (const Vector &x, Vector &y) const
	Action of the transpose operator. More...

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 Member Functions
void	pAllocMat ()

void	AssembleSharedFaces (int skip_zeros=1)

Protected Member Functions inherited from mfem::BilinearForm
void	AllocMat ()

	BilinearForm ()

Protected Attributes
ParFiniteElementSpace *	pfes

ParGridFunction	X

ParGridFunction	Y

HypreParMatrix *	p_mat

HypreParMatrix *	p_mat_e

bool	keep_nbr_block

Protected Attributes inherited from mfem::BilinearForm
SparseMatrix *	mat
	Sparse matrix to be associated with the form. More...

SparseMatrix *	mat_e

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

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

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

DenseMatrix	elemmat

Array< int >	vdofs

DenseTensor *	element_matrices

StaticCondensation *	static_cond

Hybridization *	hybridization

int	precompute_sparsity

Protected Attributes inherited from mfem::Operator
int	height

int	width

Detailed Description

Class for parallel bilinear form.

Definition at line 29 of file pbilinearform.hpp.

Constructor & Destructor Documentation

mfem::ParBilinearForm::ParBilinearForm ( ParFiniteElementSpace * pf )

inline

Definition at line 45 of file pbilinearform.hpp.

mfem::ParBilinearForm::ParBilinearForm	(	ParFiniteElementSpace *	pf,
		ParBilinearForm *	bf
	)

inline

Definition at line 49 of file pbilinearform.hpp.

virtual mfem::ParBilinearForm::~ParBilinearForm ( )

inlinevirtual

Definition at line 143 of file pbilinearform.hpp.

Member Function Documentation

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

Assemble the local matrix.

Definition at line 207 of file pbilinearform.cpp.

void mfem::ParBilinearForm::AssembleSharedFaces ( int skip_zeros = 1 )

protected

Definition at line 171 of file pbilinearform.cpp.

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

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; parallel assembly; static condensation; hybridization.

The ParGridFunction-size vector x must contain the essential b.c. The ParBilinearForm and the ParLinearForm-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).

Definition at line 264 of file pbilinearform.cpp.

void mfem::ParBilinearForm::KeepNbrBlock ( bool knb = true )

inline

When set to true and the ParBilinearForm has interior face integrators, the local SparseMatrix will include the rows (in addition to the columns) corresponding to face-neighbor dofs. The default behavior is to disregard those rows. Must be called before the first Assemble call.

Definition at line 57 of file pbilinearform.hpp.

void mfem::ParBilinearForm::pAllocMat ( )

protected

Definition at line 22 of file pbilinearform.cpp.

HypreParMatrix* mfem::ParBilinearForm::ParallelAssemble ( )

inline

Returns the matrix assembled on the true dofs, i.e. P^t A P.

Definition at line 63 of file pbilinearform.hpp.

HypreParMatrix * mfem::ParBilinearForm::ParallelAssemble ( SparseMatrix * m )

Return the matrix m assembled on the true dofs, i.e. P^t A P.

Definition at line 125 of file pbilinearform.cpp.

HypreParMatrix* mfem::ParBilinearForm::ParallelAssembleElim ( )

inline

Returns the eliminated matrix assembled on the true dofs, i.e. P^t A_e P.

Definition at line 66 of file pbilinearform.hpp.

void mfem::ParBilinearForm::ParallelEliminateEssentialBC	(	const Array< int > &	bdr_attr_is_ess,
		HypreParMatrix &	A,
		const HypreParVector &	X,
		HypreParVector &	B
	)		const

Eliminate essential boundary DOFs from a parallel assembled system. The array 'bdr_attr_is_ess' marks boundary attributes that constitute the essential part of the boundary.

Definition at line 224 of file pbilinearform.cpp.

HypreParMatrix * mfem::ParBilinearForm::ParallelEliminateEssentialBC	(	const Array< int > &	bdr_attr_is_ess,
		HypreParMatrix &	A
	)		const

Eliminate essential boundary DOFs from a parallel assembled matrix A. The array 'bdr_attr_is_ess' marks boundary attributes that constitute the essential part of the boundary. The eliminated part is stored in a matrix A_elim such that A_new = A_original + A_elim. Returns a pointer to the newly allocated matrix A_elim which should be deleted by the caller. The matrices A and A_elim can be used to eliminate boundary conditions in multiple right-hand sides, by calling the function EliminateBC (from hypre.hpp).

Definition at line 237 of file pbilinearform.cpp.

HypreParMatrix* mfem::ParBilinearForm::ParallelEliminateTDofs	(	const Array< int > &	tdofs_list,
		HypreParMatrix &	A
	)		const

inline

Given a list of essential true dofs and the parallel assembled matrix A, eliminate the true dofs from the matrix storing the eliminated part in a matrix A_elim such that A_new = A_original + A_elim. Returns a pointer to the newly allocated matrix A_elim which should be deleted by the caller. The matrices A and A_elim can be used to eliminate boundary conditions in multiple right-hand sides, by calling the function EliminateBC (from hypre.hpp).

Definition at line 97 of file pbilinearform.hpp.

ParFiniteElementSpace* mfem::ParBilinearForm::ParFESpace ( ) const

inline

Return the parallel FE space associated with the ParBilinearForm.

Definition at line 105 of file pbilinearform.hpp.

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

Call this method after solving a linear system constructed using the FormLinearSystem method to recover the solution as a ParGridFunction-size vector in x.

Definition at line 335 of file pbilinearform.cpp.

ParFiniteElementSpace* mfem::ParBilinearForm::SCParFESpace ( ) const

inline

Return the parallel trace FE space associated with static condensation.

Definition at line 108 of file pbilinearform.hpp.

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

Compute y += a (P^t A P) x, where x and y are vectors on the true dofs.

Definition at line 247 of file pbilinearform.cpp.

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

virtual

Reimplemented from mfem::BilinearForm.

Definition at line 364 of file pbilinearform.cpp.

Member Data Documentation

bool mfem::ParBilinearForm::keep_nbr_block

protected

Definition at line 37 of file pbilinearform.hpp.

HypreParMatrix* mfem::ParBilinearForm::p_mat

protected

Definition at line 35 of file pbilinearform.hpp.

HypreParMatrix * mfem::ParBilinearForm::p_mat_e

protected

Definition at line 35 of file pbilinearform.hpp.

ParFiniteElementSpace* mfem::ParBilinearForm::pfes

protected

Definition at line 32 of file pbilinearform.hpp.

ParGridFunction mfem::ParBilinearForm::X

mutableprotected

Definition at line 33 of file pbilinearform.hpp.

ParGridFunction mfem::ParBilinearForm::Y

mutableprotected

Definition at line 33 of file pbilinearform.hpp.

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