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

Partial assembly extension for DiscreteLinearOperator. More...

#include <bilinearform_ext.hpp>

Inheritance diagram for mfem::PADiscreteLinearOperatorExtension:
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Collaboration diagram for mfem::PADiscreteLinearOperatorExtension:
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Public Member Functions

 PADiscreteLinearOperatorExtension (DiscreteLinearOperator *linop)
 
void Assemble ()
 Partial assembly of all internal integrators.
 
void AddMult (const Vector &x, Vector &y, const real_t c=1.0) const
 Operator application: y+=A(x) (default) or y+=a*A(x).
 
void AddMultTranspose (const Vector &x, Vector &y, const real_t c=1.0) const
 Operator transpose application: y+=A^t(x) (default) or y+=a*A^t(x).
 
void FormRectangularSystemOperator (const Array< int > &, const Array< int > &, OperatorHandle &A)
 
const OperatorGetOutputRestrictionTranspose () const
 Transpose of GetOutputRestriction, directly available in this form to facilitate matrix-free RAP-type operators.
 
- Public Member Functions inherited from mfem::PAMixedBilinearFormExtension
 PAMixedBilinearFormExtension (MixedBilinearForm *form)
 
void Assemble ()
 Partial assembly of all internal integrators.
 
void FormRectangularSystemOperator (const Array< int > &trial_tdof_list, const Array< int > &test_tdof_list, OperatorHandle &A)
 Setup OperatorHandle A to contain constrained linear 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)
 
void Mult (const Vector &x, Vector &y) const
 y = A*x
 
void AddMult (const Vector &x, Vector &y, const real_t c=1.0) const
 y += c*A*x
 
void MultTranspose (const Vector &x, Vector &y) const
 y = A^T*x
 
void AddMultTranspose (const Vector &x, Vector &y, const real_t c=1.0) const
 y += c*A^T*x
 
void AssembleDiagonal_ADAt (const Vector &D, Vector &diag) const
 Assemble the diagonal of ADA^T for a diagonal vector D.
 
void Update ()
 Update internals for when a new MixedBilinearForm is given to this class.
 
- Public Member Functions inherited from mfem::MixedBilinearFormExtension
 MixedBilinearFormExtension (MixedBilinearForm *form)
 
virtual MemoryClass GetMemoryClass () const
 Return the MemoryClass preferred by the Operator.
 
virtual const OperatorGetProlongation () const
 Get the finite element space prolongation matrix.
 
virtual const OperatorGetRestriction () const
 Get the finite element space restriction matrix.
 
virtual const OperatorGetOutputProlongation () const
 Get the output finite element space restriction matrix.
 
virtual const OperatorGetOutputRestriction () const
 Get the output finite element space restriction 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 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.
 
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::PAMixedBilinearFormExtension
void SetupMultInputs (const Operator *elem_restrict_x, const Vector &x, Vector &localX, const Operator *elem_restrict_y, Vector &y, Vector &localY, const real_t c) const
 Helper function to set up inputs/outputs for Mult or MultTranspose.
 
- 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::PAMixedBilinearFormExtension
const FiniteElementSpacetrial_fes
 
const FiniteElementSpacetest_fes
 
Vector localTrial
 
Vector localTest
 
Vector tempY
 
const Operatorelem_restrict_trial
 
const Operatorelem_restrict_test
 
- Protected Attributes inherited from mfem::MixedBilinearFormExtension
MixedBilinearForma
 Not owned.
 
- 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

Partial assembly extension for DiscreteLinearOperator.

This acts very much like PAMixedBilinearFormExtension, but its FormRectangularSystemOperator implementation emulates 'Set' rather than 'Add' in the assembly case.

Definition at line 319 of file bilinearform_ext.hpp.

Constructor & Destructor Documentation

◆ PADiscreteLinearOperatorExtension()

mfem::PADiscreteLinearOperatorExtension::PADiscreteLinearOperatorExtension ( DiscreteLinearOperator * linop)

Definition at line 1757 of file bilinearform_ext.cpp.

Member Function Documentation

◆ AddMult()

void mfem::PADiscreteLinearOperatorExtension::AddMult ( const Vector & x,
Vector & y,
const real_t a = 1.0 ) const
virtual

Operator application: y+=A(x) (default) or y+=a*A(x).

Reimplemented from mfem::Operator.

Definition at line 1802 of file bilinearform_ext.cpp.

◆ AddMultTranspose()

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

Operator transpose application: y+=A^t(x) (default) or y+=a*A^t(x).

Reimplemented from mfem::Operator.

Definition at line 1835 of file bilinearform_ext.cpp.

◆ Assemble()

void mfem::PADiscreteLinearOperatorExtension::Assemble ( )
virtual

Partial assembly of all internal integrators.

Implements mfem::MixedBilinearFormExtension.

Definition at line 1770 of file bilinearform_ext.cpp.

◆ FormRectangularSystemOperator()

void mfem::PADiscreteLinearOperatorExtension::FormRectangularSystemOperator ( const Array< int > & ess1,
const Array< int > & ess2,
OperatorHandle & A )
virtual

Implements mfem::MixedBilinearFormExtension.

Definition at line 1874 of file bilinearform_ext.cpp.

◆ GetOutputRestrictionTranspose()

const Operator * mfem::PADiscreteLinearOperatorExtension::GetOutputRestrictionTranspose ( ) const
virtual

Transpose of GetOutputRestriction, directly available in this form to facilitate matrix-free RAP-type operators.

NULL means identity.

Reimplemented from mfem::Operator.

Definition at line 1764 of file bilinearform_ext.cpp.


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