Class for parallel bilinear form using different test and trial FE spaces. More...

#include <pbilinearform.hpp>

Inheritance diagram for mfem::ParMixedBilinearForm:

Collaboration diagram for mfem::ParMixedBilinearForm:

Public Member Functions
	ParMixedBilinearForm (ParFiniteElementSpace trial_fes, ParFiniteElementSpace test_fes)
	Construct a ParMixedBilinearForm on the given FiniteElementSpaces trial_fes and test_fes.

	ParMixedBilinearForm (ParFiniteElementSpace trial_fes, ParFiniteElementSpace test_fes, ParMixedBilinearForm *mbf)
	Create a ParMixedBilinearForm on the given FiniteElementSpaces trial_fes and test_fes, using the same integrators as the ParMixedBilinearForm mbf.

void	KeepNbrBlock (bool knb=true)

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

HypreParMatrix *	ParallelAssembleInternalMatrix ()
	Returns the matrix assembled on the true dofs, i.e. P_test^t A P_trial.

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

HypreParMatrix *	ParallelAssembleElim ()
	Returns the eliminated matrix assembled on the true dofs, i.e. P_test^t A_local P_trial.

HypreParMatrix *	ParallelAssemble (SparseMatrix *m)
	Return the matrix m assembled on the true dofs, i.e. P_test^t A_local P_trial.

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

void	ParallelAssembleElim (OperatorHandle &A_elim)

void	ParallelAssemble (OperatorHandle &A, SparseMatrix *A_local)

void	ParallelEliminateTrialEssentialBC (const Array< int > &bdr_attr_is_ess)
	Eliminate essential boundary trial DOFs from the parallel system matrix.

void	ParallelEliminateTrialTDofs (const Array< int > &trial_tdof_list)
	Eliminate essential trial true DOFs from the parallel system matrix.

void	ParallelEliminateTrialTDofsInRHS (const Array< int > &trial_tdof_list, const Vector &X, Vector &B)
	Use the stored eliminated part of the parallel system matrix for elimination of boundary conditions in the r.h.s.

void	ParallelEliminateTestEssentialBC (const Array< int > &bdr_attr_is_ess)
	Eliminate essential boundary test DOFs from the parallel system matrix.

void	ParallelEliminateTestTDofs (const Array< int > &test_tdof_list)
	Eliminate essential test true DOFs from the parallel system matrix.

void	FormRectangularSystemMatrix (const Array< int > &trial_tdof_list, const Array< int > &test_tdof_list, OperatorHandle &A) override
	Return in A a parallel (on truedofs) version of this operator.

void	FormRectangularLinearSystem (const Array< int > &trial_tdof_list, const Array< int > &test_tdof_list, Vector &x, Vector &b, OperatorHandle &A, Vector &X, Vector &B) override
	Form the parallel linear system A X = B, corresponding to this mixed bilinear form and the linear form b(.).

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

virtual	~ParMixedBilinearForm ()

template<typename OpType >
void	FormRectangularSystemMatrix (const Array< int > &trial_tdof_list, const Array< int > &test_tdof_list, OpType &A)
	Form the column-constrained linear system matrix A.

template<typename OpType >
void	FormRectangularLinearSystem (const Array< int > &trial_tdof_list, const Array< int > &test_tdof_list, Vector &x, Vector &b, OpType &A, Vector &X, Vector &B)
	Form the linear system A X = B, corresponding to this bilinear form and the linear form b(.).

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

	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.

real_t &	Elem (int i, int j) override
	Returns a reference to: \( M_{ij} \).

const real_t &	Elem (int i, int j) const override
	Returns a reference to: \( M_{ij} \).

void	Mult (const Vector &x, Vector &y) const override
	Matrix multiplication: \( y = M x \).

void	AddMult (const Vector &x, Vector &y, const real_t a=1.0) const override
	Add the matrix vector multiple to a vector: \( y += a M x \).

void	MultTranspose (const Vector &x, Vector &y) const override
	Matrix transpose vector multiplication: \( y = M^T x \).

void	AddMultTranspose (const Vector &x, Vector &y, const real_t a=1.0) const override
	Add the matrix transpose vector multiplication: \( y += a M^T x \).

MatrixInverse *	Inverse () const override
	Returns a pointer to (approximation) of the matrix inverse: \( M^{-1} \) (currently unimplemented and returns NULL)

void	Finalize (int skip_zeros=1) override
	Finalizes the matrix initialization if the AssemblyLevel is AssemblyLevel::LEGACY.

void	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.

const SparseMatrix &	SpMat () const
	Returns a const reference to the sparse matrix: \( M \).

SparseMatrix &	SpMat ()
	Returns a reference to the sparse matrix: \( M \).

SparseMatrix *	LoseMat ()
	Nullifies the internal matrix \( M \) and returns a pointer to it. Used for transferring ownership.

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

SparseMatrix &	SpMatElim ()
	Returns a reference to the sparse matrix of eliminated b.c.: \( M_e \).

void	AddDomainIntegrator (BilinearFormIntegrator *bfi)
	Adds a domain integrator. Assumes ownership of bfi.

void	AddDomainIntegrator (BilinearFormIntegrator *bfi, Array< int > &elem_marker)
	Adds a domain integrator. Assumes ownership of bfi.

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

void	AddBoundaryIntegrator (BilinearFormIntegrator *bfi, Array< int > &bdr_marker)
	Adds a boundary integrator. Assumes ownership of bfi.

void	AddInteriorFaceIntegrator (BilinearFormIntegrator *bfi)
	Adds an interior face integrator. Assumes ownership of bfi.

void	AddBdrFaceIntegrator (BilinearFormIntegrator *bfi)
	Adds a boundary face integrator. Assumes ownership of bfi.

void	AddBdrFaceIntegrator (BilinearFormIntegrator *bfi, Array< int > &bdr_marker)
	Adds a boundary face integrator. Assumes ownership of bfi.

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

void	AddBdrTraceFaceIntegrator (BilinearFormIntegrator *bfi)
	Adds a boundary trace face integrator. Assumes ownership of bfi.

void	AddBdrTraceFaceIntegrator (BilinearFormIntegrator *bfi, Array< int > &bdr_marker)
	Adds a boundary trace face integrator. Assumes ownership of bfi.

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

Array< Array< int > * > *	GetDBFI_Marker ()
	Access all domain markers added with AddDomainIntegrator(). If no marker was specified when the integrator was added, the corresponding pointer (to Array<int>) will be NULL.

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

Array< Array< int > * > *	GetBBFI_Marker ()
	Access all boundary markers added with AddBoundaryIntegrator().

Array< BilinearFormIntegrator * > *	GetFBFI ()
	Access all integrators added with AddInteriorFaceIntegrator().

Array< BilinearFormIntegrator * > *	GetBFBFI ()
	Access all integrators added with AddBdrFaceIntegrator().

Array< Array< int > * > *	GetBFBFI_Marker ()
	Access all boundary markers added with AddBdrFaceIntegrator(). If no marker was specified when the integrator was added, the corresponding pointer (to Array<int>) will be NULL.

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

Array< BilinearFormIntegrator * > *	GetBTFBFI ()
	Access all integrators added with AddBdrTraceFaceIntegrator().

Array< Array< int > * > *	GetBTFBFI_Marker ()
	Access all boundary markers added with AddBdrTraceFaceIntegrator()

void	operator= (const real_t a)
	Sets all sparse values of \( M \) to a.

void	SetAssemblyLevel (AssemblyLevel assembly_level)
	Set the desired assembly level. The default is AssemblyLevel::LEGACY.

void	Assemble (int skip_zeros=1)

void	AssembleDiagonal_ADAt (const Vector &D, Vector &diag) const
	Assemble the diagonal of ADA^T into diag, where A is this mixed bilinear form and D is a diagonal.

const Operator *	GetProlongation () const override
	Get the input finite element space prolongation matrix.

const Operator *	GetRestriction () const override
	Get the input finite element space restriction matrix.

const Operator *	GetOutputProlongation () const override
	Get the test finite element space prolongation matrix.

const Operator *	GetOutputRestriction () const override
	Get the test finite element space restriction matrix.

void	ConformingAssemble ()
	For partially conforming trial and/or test FE spaces, complete the assembly process by performing \( P2^t A P1 \) 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.

void	ComputeElementMatrix (int i, DenseMatrix &elmat) const
	Compute the element matrix of the given element.

void	ComputeBdrElementMatrix (int i, DenseMatrix &elmat) const
	Compute the boundary element matrix of the given boundary element.

void	ComputeTraceFaceMatrix (int i, DenseMatrix &elmat) const
	Compute the trace face matrix of the given face element.

void	ComputeBdrTraceFaceMatrix (int i, DenseMatrix &elmat) const
	Compute the boundary trace face matrix of the given boundary element.

void	ComputeFaceMatrix (int i, DenseMatrix &elmat) const
	Compute the face matrix of the given face element.

void	ComputeBdrFaceMatrix (int i, DenseMatrix &elmat) const
	Compute the boundary face matrix of the given boundary element.

void	AssembleElementMatrix (int i, const DenseMatrix &elmat, int skip_zeros=1)
	Assemble the given element matrix.

void	AssembleElementMatrix (int i, const DenseMatrix &elmat, Array< int > &trial_vdofs, Array< int > &test_vdofs, int skip_zeros=1)
	Assemble the given element matrix.

void	AssembleBdrElementMatrix (int i, const DenseMatrix &elmat, int skip_zeros=1)
	Assemble the given boundary element matrix.

void	AssembleBdrElementMatrix (int i, const DenseMatrix &elmat, Array< int > &trial_vdofs, Array< int > &test_vdofs, int skip_zeros=1)
	Assemble the given boundary element matrix.

void	EliminateTrialEssentialBC (const Array< int > &bdr_attr_is_ess, const Vector &sol, Vector &rhs)
	Eliminate essential boundary trial DOFs from the system.

void	EliminateTrialEssentialBC (const Array< int > &bdr_attr_is_ess)
	Eliminate essential boundary trial DOFs from the system matrix.

MFEM_DEPRECATED void	EliminateTrialDofs (const Array< int > &bdr_attr_is_ess, const Vector &sol, Vector &rhs)
	(DEPRECATED) Eliminate essential boundary trial DOFs from the system.

void	EliminateTrialVDofs (const Array< int > &vdofs, const Vector &sol, Vector &rhs)
	Eliminate the given trial vdofs. NOTE: here, vdofs is a list of DOFs.

void	EliminateTrialVDofs (const Array< int > &vdofs)
	Eliminate the given trial vdofs, storing the eliminated part internally in \( M_e \).

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

void	EliminateEssentialBCFromTrialDofs (const Array< int > &marked_vdofs, const Vector &sol, Vector &rhs)
	Similar to EliminateTrialVDofs(const Array<int> &, const Vector &, Vector &) but here ess_dofs is a marker (boolean) array on all vector-dofs (ess_dofs[i] < 0 is true).

void	EliminateTestEssentialBC (const Array< int > &bdr_attr_is_ess)
	Eliminate essential boundary test DOFs from the system matrix.

virtual MFEM_DEPRECATED void	EliminateTestDofs (const Array< int > &bdr_attr_is_ess)
	(DEPRECATED) Eliminate essential boundary test DOFs from the system.

void	EliminateTestVDofs (const Array< int > &vdofs)
	Eliminate the given test vdofs. NOTE: here, vdofs is a list of DOFs.

template<typename OpType >
void	FormRectangularSystemMatrix (const Array< int > &trial_tdof_list, const Array< int > &test_tdof_list, OpType &A)
	Form the column-constrained linear system matrix A.

template<typename OpType >
void	FormRectangularLinearSystem (const Array< int > &trial_tdof_list, const Array< int > &test_tdof_list, Vector &x, Vector &b, OpType &A, Vector &X, Vector &B)
	Form the linear system A X = B, corresponding to this bilinear form and the linear form b(.).

void	Update ()
	Must be called after making changes to trial_fes or test_fes.

FiniteElementSpace *	TrialFESpace ()
	Return the trial FE space associated with the BilinearForm.

const FiniteElementSpace *	TrialFESpace () const
	Read-only access to the associated trial FiniteElementSpace.

FiniteElementSpace *	TestFESpace ()
	Return the test FE space associated with the BilinearForm.

const FiniteElementSpace *	TestFESpace () const
	Read-only access to the associated test FiniteElementSpace.

void	Print (std::ostream &os=mfem::out, int width_=4) const override
	Prints operator to stream os.

virtual	~MixedBilinearForm ()
	Deletes internal matrices, bilinear integrators, and the BilinearFormExtension.

Public Member Functions inherited from mfem::Matrix
	Matrix (int s)
	Creates a square matrix of size s.

	Matrix (int h, int w)
	Creates a matrix of the given height and width.

bool	IsSquare () const
	Returns whether the matrix is a square matrix.

virtual	~Matrix ()
	Destroys matrix.

Public Member Functions inherited from mfem::Operator
void	InitTVectors (const Operator Po, const Operator Ri, const Operator *Pi, Vector &x, Vector &b, Vector &X, Vector &B) const
	Initializes memory for true vectors of linear system.

	Operator (int s=0)
	Construct a square Operator with given size s (default 0).

	Operator (int h, int w)
	Construct an Operator with the given height (output size) and width (input size).

int	Height () const
	Get the height (size of output) of the Operator. Synonym with NumRows().

int	NumRows () const
	Get the number of rows (size of output) of the Operator. Synonym with Height().

int	Width () const
	Get the width (size of input) of the Operator. Synonym with NumCols().

int	NumCols () const
	Get the number of columns (size of input) of the Operator. Synonym with Width().

virtual MemoryClass	GetMemoryClass () const
	Return the MemoryClass preferred by the Operator.

virtual void	AbsMult (const Vector &x, Vector &y) const
	Action of the absolute-value operator: `y=\|A\|(x)`. The default behavior in class Operator is to generate an error. If the Operator is a composition of several operators, the composition unfold into a product of absolute-value operators too.

virtual void	AbsMultTranspose (const Vector &x, Vector &y) const
	Action of the transpose absolute-value operator: `y=\|A\|^t(x)`. The default behavior in class Operator is to generate an error.

virtual void	ArrayMult (const Array< const Vector * > &X, Array< Vector * > &Y) const
	Operator application on a matrix: `Y=A(X)`.

virtual void	ArrayMultTranspose (const Array< const Vector * > &X, Array< Vector * > &Y) const
	Action of the transpose operator on a matrix: `Y=A^t(X)`.

virtual void	ArrayAddMult (const Array< const Vector * > &X, Array< Vector * > &Y, const real_t a=1.0) const
	Operator application on a matrix: `Y+=A(X)` (default) or `Y+=a*A(X)`.

virtual void	ArrayAddMultTranspose (const Array< const Vector * > &X, Array< Vector * > &Y, const real_t a=1.0) const
	Operator transpose application on a matrix: `Y+=A^t(X)` (default) or `Y+=a*A^t(X)`.

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.

virtual void	AssembleDiagonal (Vector &diag) const
	Computes the diagonal entries into diag. Typically, this operation only makes sense for linear Operators. In some cases, only an approximation of the diagonal is computed.

virtual const Operator *	GetOutputRestrictionTranspose () const
	Transpose of GetOutputRestriction, directly available in this form to facilitate matrix-free RAP-type operators.

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.

void	FormRectangularLinearSystem (const Array< int > &trial_tdof_list, const Array< int > &test_tdof_list, Vector &x, Vector &b, Operator *&A, Vector &X, Vector &B)
	Form a column-constrained linear system using a matrix-free approach.

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() or Operator::FormRectangularLinearSystem().

void	FormSystemOperator (const Array< int > &ess_tdof_list, Operator *&A)
	Return in A a parallel (on truedofs) version of this square operator.

void	FormRectangularSystemOperator (const Array< int > &trial_tdof_list, const Array< int > &test_tdof_list, Operator *&A)
	Return in A a parallel (on truedofs) version of this rectangular operator (including constraints).

void	FormDiscreteOperator (Operator *&A)
	Return in A a parallel (on truedofs) version of this rectangular operator.

void	PrintMatlab (std::ostream &out, int n, int m=0) const
	Prints operator with input size n and output size m in Matlab format.

virtual void	PrintMatlab (std::ostream &out) const
	Prints operator in Matlab format.

virtual	~Operator ()
	Virtual destructor.

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

Protected Member Functions
void	pAllocMat ()

void	AssembleSharedFaces (int skip_zeros=1)

Protected Member Functions inherited from mfem::Operator
void	FormConstrainedSystemOperator (const Array< int > &ess_tdof_list, ConstrainedOperator *&Aout)
	see FormSystemOperator()

void	FormRectangularConstrainedSystemOperator (const Array< int > &trial_tdof_list, const Array< int > &test_tdof_list, RectangularConstrainedOperator *&Aout)
	see FormRectangularSystemOperator()

Operator *	SetupRAP (const Operator Pi, const Operator Po)
	Returns RAP Operator of this, using input/output Prolongation matrices Pi corresponds to "P", Po corresponds to "Rt".

Protected Attributes
ParFiniteElementSpace *	trial_pfes
	Points to the same object as trial_fes.

ParFiniteElementSpace *	test_pfes
	Points to the same object as test_fes.

ParGridFunction	Xaux
	Auxiliary objects used in TrueAddMult().

ParGridFunction	Yaux

OperatorHandle	p_mat
	Matrix and eliminated matrix.

OperatorHandle	p_mat_e

bool	keep_nbr_block

Protected Attributes inherited from mfem::MixedBilinearForm
SparseMatrix *	mat
	Owned.

SparseMatrix *	mat_e
	Owned.

FiniteElementSpace *	trial_fes
	Not owned.

FiniteElementSpace *	test_fes
	Not owned.

AssemblyLevel	assembly
	The form assembly level (full, partial, etc.)

std::unique_ptr< MixedBilinearFormExtension >	ext

int	extern_bfs
	Indicates the BilinearFormIntegrators stored in MixedBilinearForm::domain_integs, MixedBilinearForm::boundary_integs, MixedBilinearForm::trace_face_integs and MixedBilinearForm::boundary_trace_face_integs are owned by another MixedBilinearForm.

Array< BilinearFormIntegrator * >	domain_integs
	Domain integrators.

Array< Array< int > * >	domain_integs_marker
	Entries are not owned.

Array< BilinearFormIntegrator * >	boundary_integs
	Boundary integrators.

Array< Array< int > * >	boundary_integs_marker
	Entries are not owned.

Array< BilinearFormIntegrator * >	interior_face_integs
	Interior face integrators.

Array< BilinearFormIntegrator * >	boundary_face_integs
	Boundary face integrators.

Array< Array< int > * >	boundary_face_integs_marker
	Entries are not owned.

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

Array< BilinearFormIntegrator * >	boundary_trace_face_integs
	Boundary trace face (skeleton) integrators.

Array< Array< int > * >	boundary_trace_face_integs_marker
	Entries are not owned.

DenseMatrix	elemmat

Array< int >	trial_vdofs

Array< int >	test_vdofs

Protected Attributes inherited from mfem::Operator
int	height
	Dimension of the output / number of rows in the matrix.

int	width
	Dimension of the input / number of columns in the matrix.

Additional Inherited Members
Public Types inherited from mfem::Operator
enum	DiagonalPolicy { DIAG_ZERO , DIAG_ONE , DIAG_KEEP }
	Defines operator diagonal policy upon elimination of rows and/or columns. More...

enum	Type { ANY_TYPE , MFEM_SPARSEMAT , Hypre_ParCSR , PETSC_MATAIJ , PETSC_MATIS , PETSC_MATSHELL , PETSC_MATNEST , PETSC_MATHYPRE , PETSC_MATGENERIC , Complex_Operator , MFEM_ComplexSparseMat , Complex_Hypre_ParCSR , Complex_DenseMat , MFEM_Block_Matrix , MFEM_Block_Operator }
	Enumeration defining IDs for some classes derived from Operator. More...

Detailed Description

Class for parallel bilinear form using different test and trial FE spaces.

Definition at line 288 of file pbilinearform.hpp.

Constructor & Destructor Documentation

◆ ParMixedBilinearForm() [1/2]

mfem::ParMixedBilinearForm::ParMixedBilinearForm	(	ParFiniteElementSpace *	trial_fes,
		ParFiniteElementSpace *	test_fes )

inline

Construct a ParMixedBilinearForm on the given FiniteElementSpaces trial_fes and test_fes.

The pointers trial_fes and test_fes are not owned by the newly constructed object.

Definition at line 320 of file pbilinearform.hpp.

◆ ParMixedBilinearForm() [2/2]

mfem::ParMixedBilinearForm::ParMixedBilinearForm	(	ParFiniteElementSpace *	trial_fes,
		ParFiniteElementSpace *	test_fes,
		ParMixedBilinearForm *	mbf )

inline

Create a ParMixedBilinearForm on the given FiniteElementSpaces trial_fes and test_fes, using the same integrators as the ParMixedBilinearForm mbf.

The pointers trial_fes and test_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 ParMixedBilinearForm.

Definition at line 339 of file pbilinearform.hpp.

◆ ~ParMixedBilinearForm()

virtual mfem::ParMixedBilinearForm::~ParMixedBilinearForm ( )

inlinevirtual

Definition at line 456 of file pbilinearform.hpp.

Member Function Documentation

◆ Assemble()

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

Assemble the local matrix.

Definition at line 734 of file pbilinearform.cpp.

◆ AssembleSharedFaces()

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

protected

Definition at line 665 of file pbilinearform.cpp.

◆ FormRectangularLinearSystem() [1/2]

void mfem::ParMixedBilinearForm::FormRectangularLinearSystem	(	const Array< int > &	trial_tdof_list,
		const Array< int > &	test_tdof_list,
		Vector &	x,
		Vector &	b,
		OperatorHandle &	A,
		Vector &	X,
		Vector &	B )

overridevirtual

Form the parallel linear system A X = B, corresponding to this mixed bilinear form and the linear form b(.).

Return in A a reference to the system matrix that is column-constrained. The reference will be invalidated when SetOperatorType(), Update(), or the destructor is called.

Reimplemented from mfem::MixedBilinearForm.

Definition at line 914 of file pbilinearform.cpp.

◆ FormRectangularLinearSystem() [2/2]

template<typename OpType >

void mfem::MixedBilinearForm::FormRectangularLinearSystem	(	const Array< int > &	trial_tdof_list,
		const Array< int > &	test_tdof_list,
		Vector &	x,
		Vector &	b,
		OpType &	A,
		Vector &	X,
		Vector &	B )

inline

Form the linear system A X = B, corresponding to this bilinear form and the linear form b(.).

Version of the method FormRectangularLinearSystem() 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 1182 of file bilinearform.hpp.

◆ FormRectangularSystemMatrix() [1/2]

void mfem::ParMixedBilinearForm::FormRectangularSystemMatrix	(	const Array< int > &	trial_tdof_list,
		const Array< int > &	test_tdof_list,
		OperatorHandle &	A )

overridevirtual

Return in A a parallel (on truedofs) version of this operator.

This returns the same operator as FormRectangularLinearSystem(), but does without the transformations of the right-hand side.

Reimplemented from mfem::MixedBilinearForm.

Definition at line 887 of file pbilinearform.cpp.

◆ FormRectangularSystemMatrix() [2/2]

template<typename OpType >

void mfem::MixedBilinearForm::FormRectangularSystemMatrix	(	const Array< int > &	trial_tdof_list,
		const Array< int > &	test_tdof_list,
		OpType &	A )

inline

Form the column-constrained linear system matrix A.

Version of the method FormRectangularSystemMatrix() 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 1151 of file bilinearform.hpp.

◆ KeepNbrBlock()

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

inline

When set to true and the ParMixedBilinearForm 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 355 of file pbilinearform.hpp.

◆ pAllocMat()

void mfem::ParMixedBilinearForm::pAllocMat ( )

protected

Definition at line 650 of file pbilinearform.cpp.

◆ ParallelAssemble() [1/4]

HypreParMatrix * mfem::ParMixedBilinearForm::ParallelAssemble ( )

inline

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

The returned matrix has to be deleted by the caller.

Definition at line 370 of file pbilinearform.hpp.

◆ ParallelAssemble() [2/4]

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

inline

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

Definition at line 385 of file pbilinearform.hpp.

◆ ParallelAssemble() [3/4]

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

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

Definition at line 771 of file pbilinearform.cpp.

◆ ParallelAssemble() [4/4]

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

Return the matrix m assembled on the true dofs, i.e. P_test^t A_local P_trial.

The returned matrix has to be deleted by the caller.

Definition at line 763 of file pbilinearform.cpp.

◆ ParallelAssembleElim() [1/2]

HypreParMatrix * mfem::ParMixedBilinearForm::ParallelAssembleElim ( )

inline

Returns the eliminated matrix assembled on the true dofs, i.e. P_test^t A_local P_trial.

The returned matrix has to be deleted by the caller.

Definition at line 375 of file pbilinearform.hpp.

◆ ParallelAssembleElim() [2/2]

void mfem::ParMixedBilinearForm::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 390 of file pbilinearform.hpp.

◆ ParallelAssembleInternalMatrix()

HypreParMatrix * mfem::ParMixedBilinearForm::ParallelAssembleInternalMatrix ( )

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

The returned matrix is the internal one, owned by the form. It is not reassembled if it has been already constructed. If FormRectangularSystemMatrix() has been called before, it is the system matrix with eliminated essential DOFs, otherwise the parallel matrix is assembled here without the elimination process.

Definition at line 754 of file pbilinearform.cpp.

◆ ParallelEliminateTestEssentialBC()

void mfem::ParMixedBilinearForm::ParallelEliminateTestEssentialBC ( const Array< int > & bdr_attr_is_ess )

Eliminate essential boundary test DOFs from the parallel system matrix.

The array bdr_attr_is_ess marks boundary attributes that constitute the essential part of the boundary.

Definition at line 872 of file pbilinearform.cpp.

◆ ParallelEliminateTestTDofs()

void mfem::ParMixedBilinearForm::ParallelEliminateTestTDofs ( const Array< int > & test_tdof_list )

Eliminate essential test true DOFs from the parallel system matrix.

Given a list of essential test true dofs, eliminate the test true dofs from the parallel assembled system matrix.

Definition at line 881 of file pbilinearform.cpp.

◆ ParallelEliminateTrialEssentialBC()

void mfem::ParMixedBilinearForm::ParallelEliminateTrialEssentialBC ( const Array< int > & bdr_attr_is_ess )

Eliminate essential boundary trial DOFs from the parallel system matrix.

The array bdr_attr_is_ess marks boundary attributes that constitute the essential part of the boundary. This method relies on ParallelEliminateTrialTDofs(const Array<int> &), see it for details.

Definition at line 849 of file pbilinearform.cpp.

◆ ParallelEliminateTrialTDofs()

void mfem::ParMixedBilinearForm::ParallelEliminateTrialTDofs ( const Array< int > & trial_tdof_list )

Eliminate essential trial true DOFs from the parallel system matrix.

Given a list of essential trial true dofs, eliminate the trial true dofs from the parallel assembled system matrix, storing the eliminated part internally. This method works in conjunction with ParallelEliminateTrialTDofsInRHS() and allows elimination of boundary conditions in multiple right-hand sides.

Definition at line 858 of file pbilinearform.cpp.

◆ ParallelEliminateTrialTDofsInRHS()

void mfem::ParMixedBilinearForm::ParallelEliminateTrialTDofsInRHS	(	const Array< int > &	trial_tdof_list,
		const Vector &	X,
		Vector &	B )

Use the stored eliminated part of the parallel system matrix for elimination of boundary conditions in the r.h.s.

Given a list of essential trial true dofs, eliminate the trial true dofs from the right-hand side B using the solution vector X and the previously stored eliminated part of the parallel assembled system matrix produced by ParallelEliminateTrialTDofs(const Array<int> &).

Definition at line 866 of file pbilinearform.cpp.

◆ TrueAddMult()

void mfem::ParMixedBilinearForm::TrueAddMult	(	const Vector &	x,
		Vector &	y,
		const real_t	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 835 of file pbilinearform.cpp.

Member Data Documentation

◆ keep_nbr_block

bool mfem::ParMixedBilinearForm::keep_nbr_block

protected

Definition at line 301 of file pbilinearform.hpp.

◆ p_mat

OperatorHandle mfem::ParMixedBilinearForm::p_mat

protected

Matrix and eliminated matrix.

Definition at line 299 of file pbilinearform.hpp.

◆ p_mat_e

OperatorHandle mfem::ParMixedBilinearForm::p_mat_e

protected

Definition at line 299 of file pbilinearform.hpp.

◆ test_pfes

ParFiniteElementSpace* mfem::ParMixedBilinearForm::test_pfes

protected

Points to the same object as test_fes.

Definition at line 294 of file pbilinearform.hpp.

◆ trial_pfes

ParFiniteElementSpace* mfem::ParMixedBilinearForm::trial_pfes

protected

Points to the same object as trial_fes.

Definition at line 292 of file pbilinearform.hpp.

◆ Xaux

ParGridFunction mfem::ParMixedBilinearForm::Xaux

mutableprotected

Auxiliary objects used in TrueAddMult().

Definition at line 296 of file pbilinearform.hpp.

◆ Yaux

ParGridFunction mfem::ParMixedBilinearForm::Yaux

protected

Definition at line 296 of file pbilinearform.hpp.

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

fem/pbilinearform.hpp
fem/pbilinearform.cpp

Public Member Functions

Protected Member Functions

Protected Attributes

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ ParMixedBilinearForm() [1/2]

◆ ParMixedBilinearForm() [2/2]

◆ ~ParMixedBilinearForm()

Member Function Documentation

◆ Assemble()

◆ AssembleSharedFaces()

◆ FormRectangularLinearSystem() [1/2]

◆ FormRectangularLinearSystem() [2/2]

◆ FormRectangularSystemMatrix() [1/2]

◆ FormRectangularSystemMatrix() [2/2]

◆ KeepNbrBlock()

◆ pAllocMat()

◆ ParallelAssemble() [1/4]

◆ ParallelAssemble() [2/4]

◆ ParallelAssemble() [3/4]

◆ ParallelAssemble() [4/4]

◆ ParallelAssembleElim() [1/2]

◆ ParallelAssembleElim() [2/2]

◆ ParallelAssembleInternalMatrix()

◆ ParallelEliminateTestEssentialBC()

◆ ParallelEliminateTestTDofs()

◆ ParallelEliminateTrialEssentialBC()

◆ ParallelEliminateTrialTDofs()

◆ ParallelEliminateTrialTDofsInRHS()

◆ TrueAddMult()

Member Data Documentation

◆ keep_nbr_block

◆ p_mat

◆ p_mat_e

◆ test_pfes

◆ trial_pfes

◆ Xaux

◆ Yaux