MFEM v4.7.0
Finite element discretization library
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mfem::L2ElementRestriction Class Reference

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

#include <restriction.hpp>

Inheritance diagram for mfem::L2ElementRestriction:
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Collaboration diagram for mfem::L2ElementRestriction:
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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 OperatorGetGradient (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 OperatorGetProlongation () const
 Prolongation operator from linear algebra (linear system) vectors, to input vectors for the operator. NULL means identity.
 
virtual const OperatorGetRestriction () const
 Restriction operator from input vectors for the operator to linear algebra (linear system) vectors. NULL means identity.
 
virtual const OperatorGetOutputProlongation () const
 Prolongation operator from linear algebra (linear system) vectors, to output vectors for the operator. NULL means identity.
 
virtual const OperatorGetOutputRestrictionTranspose () const
 Transpose of GetOutputRestriction, directly available in this form to facilitate matrix-free RAP-type operators.
 
virtual const OperatorGetOutputRestriction () 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()
 
OperatorSetupRAP (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: