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	SetOperatorType (Operator::Type tid)
	Set the operator type id for the parallel matrix/operator. More...

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	ParallelAssemble (OperatorHandle &A)
	Returns the matrix assembled on the true dofs, i.e. A = P^t A_local P, in the format (type id) specified by A. More...

void	ParallelAssembleElim (OperatorHandle &A_elim)

void	ParallelAssemble (OperatorHandle &A, SparseMatrix *A_local)

void	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. More...

HypreParMatrix *	ParallelEliminateEssentialBC (const Array< int > &bdr_attr_is_ess, HypreParMatrix &A) const
	Eliminate essential boundary DOFs from a parallel assembled matrix A. More...

HypreParMatrix *	ParallelEliminateTDofs (const Array< int > &tdofs_list, HypreParMatrix &A) const
	Eliminate essential true DOFs from a parallel assembled matrix A. More...

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...

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

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

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

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

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

template<typename OpType >
void	FormSystemMatrix (const Array< int > &ess_tdof_list, OpType &A)

virtual 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	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

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	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...

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

void	FormSystemMatrix (const Array< int > &ess_tdof_list, SparseMatrix &A)
	Form the linear system matrix A, see FormLinearSystem for details. 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, Vector &sol, Vector &rhs, int d=0)

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

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

void	EliminateVDofs (const Array< int > &vdofs, int d=0)

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

void	EliminateEssentialBCFromDofs (const Array< int > &ess_dofs, int d=0)

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)

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)
	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 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 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...

Protected Member Functions
void	pAllocMat ()

void	AssembleSharedFaces (int skip_zeros=1)

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

void	ConformingAssemble ()

	BilinearForm ()

Protected Attributes
ParFiniteElementSpace *	pfes

ParGridFunction	X

ParGridFunction	Y

OperatorHandle	p_mat

OperatorHandle	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
	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< 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

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::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 parallel bilinear form.

Definition at line 28 of file pbilinearform.hpp.

Constructor & Destructor Documentation

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

inline

Definition at line 44 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 215 of file pbilinearform.hpp.

Member Function Documentation

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

Assemble the local matrix.

Definition at line 222 of file pbilinearform.cpp.

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

protected

Definition at line 186 of file pbilinearform.cpp.

void mfem::ParBilinearForm::FormLinearSystem	(	const Array< int > &	ess_tdof_list,
		Vector &	x,
		Vector &	b,
		OperatorHandle &	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 279 of file pbilinearform.cpp.

template<typename OpType >

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

inline

Version of the method FormLinearSystem() where the system matrix is returned in the variable A, of type OpType, holding a reference to the system matrix (created with the method OpType::MakeRef()). The reference will be invalidated when SetOperatorType(), Update(), or the destructor is called.

Definition at line 179 of file pbilinearform.hpp.

void mfem::ParBilinearForm::FormSystemMatrix	(	const Array< int > &	ess_tdof_list,
		OperatorHandle &	A
	)

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

Definition at line 323 of file pbilinearform.cpp.

template<typename OpType >

void mfem::ParBilinearForm::FormSystemMatrix	(	const Array< int > &	ess_tdof_list,
		OpType &	A
	)

inline

Version of the method FormSystemMatrix() where the system matrix is returned in the variable A, of type OpType, holding a reference to the system matrix (created with the method OpType::MakeRef()). The reference will be invalidated when SetOperatorType(), Update(), or the destructor is called.

Definition at line 199 of file pbilinearform.hpp.

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

inlinevirtual

Get the parallel finite element space prolongation matrix.

Reimplemented from mfem::BilinearForm.

Definition at line 142 of file pbilinearform.hpp.

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

inlinevirtual

Get the parallel finite element space restriction matrix.

Reimplemented from mfem::BilinearForm.

Definition at line 145 of file pbilinearform.hpp.

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 58 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.

The returned matrix has to be deleted by the caller.

Definition at line 75 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.

The returned matrix has to be deleted by the caller.

Definition at line 178 of file pbilinearform.cpp.

void mfem::ParBilinearForm::ParallelAssemble ( OperatorHandle & A )

inline

Returns the matrix assembled on the true dofs, i.e. A = P^t A_local P, in the format (type id) specified by A.

Definition at line 87 of file pbilinearform.hpp.

void mfem::ParBilinearForm::ParallelAssemble	(	OperatorHandle &	A,
		SparseMatrix *	A_local
	)

Returns the matrix A_local assembled on the true dofs, i.e. A = P^t A_local P in the format (type id) specified by A.

Definition at line 124 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.

The returned matrix has to be deleted by the caller.

Definition at line 79 of file pbilinearform.hpp.

void mfem::ParBilinearForm::ParallelAssembleElim ( OperatorHandle & A_elim )

inline

Returns the eliminated matrix assembled on the true dofs, i.e. A_elim = P^t A_elim_local P in the format (type id) specified by A.

Definition at line 92 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 239 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_original = A_new + 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 252 of file pbilinearform.cpp.

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

inline

Eliminate essential true DOFs from a parallel assembled matrix A.

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_original = A_new + 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 126 of file pbilinearform.hpp.

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

inline

Return the parallel FE space associated with the ParBilinearForm.

Definition at line 135 of file pbilinearform.hpp.

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

virtual

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

Reimplemented from mfem::BilinearForm.

Definition at line 365 of file pbilinearform.cpp.

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

inline

Return the parallel trace FE space associated with static condensation.

Definition at line 138 of file pbilinearform.hpp.

void mfem::ParBilinearForm::SetOperatorType ( Operator::Type tid )

inline

Set the operator type id for the parallel matrix/operator.

If using static condensation or hybridization, call this method after enabling it.

Definition at line 63 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 262 of file pbilinearform.cpp.

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

virtual

Reimplemented from mfem::BilinearForm.

Definition at line 394 of file pbilinearform.cpp.

Member Data Documentation

bool mfem::ParBilinearForm::keep_nbr_block

protected

Definition at line 36 of file pbilinearform.hpp.

OperatorHandle mfem::ParBilinearForm::p_mat

protected

Definition at line 34 of file pbilinearform.hpp.

OperatorHandle mfem::ParBilinearForm::p_mat_e

protected

Definition at line 34 of file pbilinearform.hpp.

ParFiniteElementSpace* mfem::ParBilinearForm::pfes

protected

Definition at line 31 of file pbilinearform.hpp.

ParGridFunction mfem::ParBilinearForm::X

mutableprotected

Definition at line 32 of file pbilinearform.hpp.

ParGridFunction mfem::ParBilinearForm::Y

mutableprotected

Definition at line 32 of file pbilinearform.hpp.

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

Public Member Functions

Protected Member Functions

Protected Attributes

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation