Operator that converts L2 FiniteElementSpace L-vectors to E-vectors. More...

#include <restriction.hpp>

Inheritance diagram for mfem::L2ElementRestriction:

Collaboration diagram for mfem::L2ElementRestriction:

Public Member Functions
	L2ElementRestriction (const FiniteElementSpace &)

void	Mult (const Vector &x, Vector &y) const override
	Operator application: `y=A(x)`.

void	MultTranspose (const Vector &x, Vector &y) const override
	Action of the transpose operator: `y=A^t(x)`. The default behavior in class Operator is to generate an error.

void	AddMultTranspose (const Vector &x, Vector &y, const real_t a=1.0) const override
	Add the E-vector degrees of freedom x to the L-vector degrees of freedom y.

void	FillI (SparseMatrix &mat) const

void	FillJAndData (const Vector &ea_data, SparseMatrix &mat) const

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.

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...

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 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.

Detailed Description

Operator that converts L2 FiniteElementSpace L-vectors to E-vectors.

Objects of this type are typically created and owned by FiniteElementSpace objects, see FiniteElementSpace::GetElementRestriction(). L-vectors corresponding to grid functions in L2 finite element spaces differ from E-vectors only in the ordering of the degrees of freedom.

Definition at line 111 of file restriction.hpp.

Constructor & Destructor Documentation

◆ L2ElementRestriction()

mfem::L2ElementRestriction::L2ElementRestriction ( const FiniteElementSpace & fes )

Definition at line 498 of file restriction.cpp.

Member Function Documentation

◆ AddMultTranspose()

void mfem::L2ElementRestriction::AddMultTranspose	(	const Vector &	x,
		Vector &	y,
		const real_t	a = 1.0 ) const

overridevirtual

Add the E-vector degrees of freedom x to the L-vector degrees of freedom y.

Implements mfem::ElementRestrictionOperator.

Definition at line 555 of file restriction.cpp.

◆ FillI()

void mfem::L2ElementRestriction::FillI ( SparseMatrix & mat ) const

Fill the I array of SparseMatrix corresponding to the sparsity pattern given by this ElementRestriction.

Definition at line 563 of file restriction.cpp.

◆ FillJAndData()

void mfem::L2ElementRestriction::FillJAndData	(	const Vector &	ea_data,
		SparseMatrix &	mat ) const

Fill the J and Data arrays of SparseMatrix corresponding to the sparsity pattern given by this L2FaceRestriction, and the values of ea_data.

Definition at line 582 of file restriction.cpp.

◆ Mult()

void mfem::L2ElementRestriction::Mult	(	const Vector &	x,
		Vector &	y ) const

overridevirtual

Operator application: y=A(x).

Implements mfem::Operator.

Definition at line 509 of file restriction.cpp.

◆ MultTranspose()

void mfem::L2ElementRestriction::MultTranspose	(	const Vector &	x,
		Vector &	y ) const

overridevirtual

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 549 of file restriction.cpp.

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

fem/restriction.hpp
fem/restriction.cpp

Public Member Functions

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ L2ElementRestriction()

Member Function Documentation

◆ AddMultTranspose()

◆ FillI()

◆ FillJAndData()

◆ Mult()

◆ MultTranspose()