Operator that extracts face degrees of freedom for H1, ND, or RT FiniteElementSpaces. More...

#include <restriction.hpp>

Inheritance diagram for mfem::ConformingFaceRestriction:

Collaboration diagram for mfem::ConformingFaceRestriction:

Public Member Functions
	ConformingFaceRestriction (const FiniteElementSpace &fes, const ElementDofOrdering f_ordering, const FaceType type)
	Construct a ConformingFaceRestriction.

void	Mult (const Vector &x, Vector &y) const override
	Scatter the degrees of freedom, i.e. goes from L-Vector to face E-Vector.

void	AddMultTranspose (const Vector &x, Vector &y, const real_t a=1.0) const override
	Gather the degrees of freedom, i.e. goes from face E-Vector to L-Vector.

void	AddMultTransposeUnsigned (const Vector &x, Vector &y, const real_t a=1.0) const override
	Gather the degrees of freedom, i.e. goes from face E-Vector to L-Vector not taking into account signs from DOF orientations.

virtual void	AddMultTransposeInPlace (Vector &x, Vector &y) const
	Add the face degrees of freedom x to the element degrees of freedom y. Perform the same computation as AddMultTranspose, but x is invalid after calling this method.

Public Member Functions inherited from mfem::FaceRestriction
	FaceRestriction ()

	FaceRestriction (int h, int w)

virtual	~FaceRestriction ()

void	MultTranspose (const Vector &x, Vector &y) const override
	Set the face degrees of freedom in the element degrees of freedom y to the values given in x.

virtual void	NormalDerivativeMult (const Vector &x, Vector &y) const
	For each face, sets y to the partial derivative of x with respect to the reference coordinate whose direction is perpendicular to the face on the reference element.

virtual void	NormalDerivativeAddMultTranspose (const Vector &x, Vector &y) const
	Add the face reference-normal derivative degrees of freedom in x to the element degrees of freedom in y.

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	AddMult (const Vector &x, Vector &y, const real_t a=1.0) const
	Operator application: `y+=A(x)` (default) or `y+=a*A(x)`.

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 *	GetProlongation () const
	Prolongation operator from linear algebra (linear system) vectors, to input vectors for the operator. `NULL` means identity.

virtual const Operator *	GetRestriction () const
	Restriction operator from input vectors for the operator to linear algebra (linear system) vectors. `NULL` means identity.

virtual const Operator *	GetOutputProlongation () const
	Prolongation operator from linear algebra (linear system) vectors, to output vectors for the operator. `NULL` means identity.

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

virtual const Operator *	GetOutputRestriction () const
	Restriction operator from output vectors for the operator to linear algebra (linear system) vectors. `NULL` means identity.

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
	ConformingFaceRestriction (const FiniteElementSpace &fes, const ElementDofOrdering f_ordering, const FaceType type, bool build)
	Construct a ConformingFaceRestriction.

void	CheckFESpace (const ElementDofOrdering f_ordering)
	Verify that ConformingFaceRestriction is built from a supported finite element space.

void	SetFaceDofsScatterIndices (const Mesh::FaceInformation &face, const int face_index, const ElementDofOrdering f_ordering)
	Set the scattering indices of elem1, and increment the offsets for the face described by the face.

void	SetFaceDofsGatherIndices (const Mesh::FaceInformation &face, const int face_index, const ElementDofOrdering f_ordering)
	Set the gathering indices of elem1 for the interior face described by the face.

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
const FiniteElementSpace &	fes

const int	nf

const int	vdim

const bool	byvdim

const int	face_dofs

const int	elem_dofs

const int	nfdofs

const int	ndofs

Array< int >	scatter_indices

Array< int >	gather_offsets

Array< int >	gather_indices

Array< int >	vol_dof_map

Array< int >	face_map

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

Operator that extracts face degrees of freedom for H1, ND, or RT FiniteElementSpaces.

Objects of this type are typically created and owned by FiniteElementSpace objects, see FiniteElementSpace::GetFaceRestriction().

Definition at line 272 of file restriction.hpp.

Constructor & Destructor Documentation

◆ ConformingFaceRestriction() [1/2]

mfem::ConformingFaceRestriction::ConformingFaceRestriction	(	const FiniteElementSpace &	fes,
		const ElementDofOrdering	f_ordering,
		const FaceType	type,
		bool	build )

protected

Construct a ConformingFaceRestriction.

Parameters

[in]	fes	The FiniteElementSpace on which this operates
[in]	f_ordering	Request a specific face dof ordering
[in]	type	Request internal or boundary faces dofs
[in]	build	Request the NCL2FaceRestriction to compute the scatter/gather indices. False should only be used when inheriting from ConformingFaceRestriction.

Definition at line 604 of file restriction.cpp.

◆ ConformingFaceRestriction() [2/2]

mfem::ConformingFaceRestriction::ConformingFaceRestriction	(	const FiniteElementSpace &	fes,
		const ElementDofOrdering	f_ordering,
		const FaceType	type )

Construct a ConformingFaceRestriction.

Parameters

[in]	fes	The FiniteElementSpace on which this operates
[in]	f_ordering	Request a specific face dof ordering
[in]	type	Request internal or boundary faces dofs

Definition at line 650 of file restriction.cpp.

Member Function Documentation

◆ AddMultTranspose()

void mfem::ConformingFaceRestriction::AddMultTranspose	(	const Vector &	x,
		Vector &	y,
		const real_t	a = 1.0 ) const

overridevirtual

Gather the degrees of freedom, i.e. goes from face E-Vector to L-Vector.

Parameters

[in]	x	The face E-Vector degrees of freedom with the given format: face_dofs x vdim x nf where nf is the number of interior or boundary faces requested by type in the constructor. The face_dofs should be ordered according to the given ElementDofOrdering
[in,out]	y	The L-vector degrees of freedom.
[in]	a	Scalar coefficient for addition.

Implements mfem::FaceRestriction.

Reimplemented in mfem::ParNCH1FaceRestriction.

Definition at line 720 of file restriction.cpp.

◆ AddMultTransposeInPlace()

virtual void mfem::FaceRestriction::AddMultTransposeInPlace	(	Vector &	x,
		Vector &	y ) const

inlinevirtual

Add the face degrees of freedom x to the element degrees of freedom y. Perform the same computation as AddMultTranspose, but x is invalid after calling this method.

Parameters

[in,out]	x	The face degrees of freedom on the face.
[in,out]	y	The L-vector of degrees of freedom to which we add the face degrees of freedom.

Note: This method is an optimization of AddMultTranspose where the x Vector is used and modified to avoid memory allocation and memcpy.

Reimplemented from mfem::FaceRestriction.

Reimplemented in mfem::ParNCH1FaceRestriction.

Definition at line 209 of file restriction.hpp.

◆ AddMultTransposeUnsigned()

void mfem::ConformingFaceRestriction::AddMultTransposeUnsigned	(	const Vector &	x,
		Vector &	y,
		const real_t	a = 1.0 ) const

overridevirtual

Gather the degrees of freedom, i.e. goes from face E-Vector to L-Vector not taking into account signs from DOF orientations.

See also: AddMultTranspose().

Reimplemented from mfem::FaceRestriction.

Definition at line 728 of file restriction.cpp.

◆ CheckFESpace()

void mfem::ConformingFaceRestriction::CheckFESpace ( const ElementDofOrdering f_ordering )

protected

Verify that ConformingFaceRestriction is built from a supported finite element space.

Parameters

[in] f_ordering The requested face dof ordering.

Definition at line 736 of file restriction.cpp.

◆ Mult()

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

overridevirtual

Scatter the degrees of freedom, i.e. goes from L-Vector to face E-Vector.

Parameters

[in]	x	The L-vector degrees of freedom.
[out]	y	The face E-Vector degrees of freedom with the given format: face_dofs x vdim x nf where nf is the number of interior or boundary faces requested by type in the constructor. The face_dofs are ordered according to the given ElementDofOrdering.

Implements mfem::FaceRestriction.

Reimplemented in mfem::ParNCH1FaceRestriction.

Definition at line 657 of file restriction.cpp.

◆ SetFaceDofsGatherIndices()

void mfem::ConformingFaceRestriction::SetFaceDofsGatherIndices	(	const Mesh::FaceInformation &	face,
		const int	face_index,
		const ElementDofOrdering	f_ordering )

protected

Set the gathering indices of elem1 for the interior face described by the face.

Parameters

[in]	face	The face information of the current face.
[in]	face_index	The interior/boundary face index.
[in]	f_ordering	Request a specific face dof ordering.

Definition at line 879 of file restriction.cpp.

◆ SetFaceDofsScatterIndices()

void mfem::ConformingFaceRestriction::SetFaceDofsScatterIndices	(	const Mesh::FaceInformation &	face,
		const int	face_index,
		const ElementDofOrdering	f_ordering )

protected

Set the scattering indices of elem1, and increment the offsets for the face described by the face.

Parameters

[in]	face	The face information of the current face.
[in]	face_index	The interior/boundary face index.
[in]	f_ordering	Request a specific face dof ordering.

Definition at line 849 of file restriction.cpp.

Member Data Documentation

◆ byvdim

const bool mfem::ConformingFaceRestriction::byvdim

protected

Definition at line 278 of file restriction.hpp.

◆ elem_dofs

const int mfem::ConformingFaceRestriction::elem_dofs

protected

Definition at line 280 of file restriction.hpp.

◆ face_dofs

const int mfem::ConformingFaceRestriction::face_dofs

protected

Definition at line 279 of file restriction.hpp.

◆ face_map

Array<int> mfem::ConformingFaceRestriction::face_map

mutableprotected

Definition at line 367 of file restriction.hpp.

◆ fes

const FiniteElementSpace& mfem::ConformingFaceRestriction::fes

protected

Definition at line 275 of file restriction.hpp.

◆ gather_indices

Array<int> mfem::ConformingFaceRestriction::gather_indices

protected

Definition at line 285 of file restriction.hpp.

◆ gather_offsets

Array<int> mfem::ConformingFaceRestriction::gather_offsets

protected

Definition at line 284 of file restriction.hpp.

◆ ndofs

const int mfem::ConformingFaceRestriction::ndofs

protected

Definition at line 282 of file restriction.hpp.

◆ nf

const int mfem::ConformingFaceRestriction::nf

protected

Definition at line 276 of file restriction.hpp.

◆ nfdofs

const int mfem::ConformingFaceRestriction::nfdofs

protected

Definition at line 281 of file restriction.hpp.

◆ scatter_indices

Array<int> mfem::ConformingFaceRestriction::scatter_indices

protected

Definition at line 283 of file restriction.hpp.

◆ vdim

const int mfem::ConformingFaceRestriction::vdim

protected

Definition at line 277 of file restriction.hpp.

◆ vol_dof_map

Array<int> mfem::ConformingFaceRestriction::vol_dof_map

protected

Definition at line 286 of file restriction.hpp.

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

fem/restriction.hpp
fem/restriction.cpp

Public Member Functions

Protected Member Functions

Protected Attributes

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ ConformingFaceRestriction() [1/2]

◆ ConformingFaceRestriction() [2/2]

Member Function Documentation

◆ AddMultTranspose()

◆ AddMultTransposeInPlace()

◆ AddMultTransposeUnsigned()

◆ CheckFESpace()

◆ Mult()

◆ SetFaceDofsGatherIndices()

◆ SetFaceDofsScatterIndices()

Member Data Documentation

◆ byvdim

◆ elem_dofs

◆ face_dofs

◆ face_map

◆ fes

◆ gather_indices

◆ gather_offsets

◆ ndofs

◆ nf

◆ nfdofs

◆ scatter_indices

◆ vdim

◆ vol_dof_map