MFEM  v4.5.0
Finite element discretization library
Public Member Functions | Protected Member Functions | Protected Attributes | List of all members
mfem::PAMixedBilinearFormExtension Class Reference

Data and methods for partially-assembled mixed bilinear forms. More...

#include <bilinearform_ext.hpp>

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

 PAMixedBilinearFormExtension (MixedBilinearForm *form)
 
void Assemble ()
 Partial assembly of all internal integrators. More...
 
void FormRectangularSystemOperator (const Array< int > &trial_tdof_list, const Array< int > &test_tdof_list, OperatorHandle &A)
 Setup OperatorHandle A to contain constrained linear operator. More...
 
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 More...
 
void AddMult (const Vector &x, Vector &y, const double c=1.0) const
 y += c*A*x More...
 
void MultTranspose (const Vector &x, Vector &y) const
 y = A^T*x More...
 
void AddMultTranspose (const Vector &x, Vector &y, const double c=1.0) const
 y += c*A^T*x More...
 
void AssembleDiagonal_ADAt (const Vector &D, Vector &diag) const
 Assemble the diagonal of ADA^T for a diagonal vector D. More...
 
void Update ()
 Update internals for when a new MixedBilinearForm is given to this class. More...
 
- Public Member Functions inherited from mfem::MixedBilinearFormExtension
 MixedBilinearFormExtension (MixedBilinearForm *form)
 
virtual MemoryClass GetMemoryClass () const
 Return the MemoryClass preferred by the Operator. More...
 
virtual const OperatorGetProlongation () const
 Get the finite element space prolongation matrix. More...
 
virtual const OperatorGetRestriction () const
 Get the finite element space restriction matrix. More...
 
virtual const OperatorGetOutputProlongation () const
 Get the output finite element space restriction matrix. More...
 
virtual const OperatorGetOutputRestriction () const
 Get the output finite element space restriction matrix. More...
 
- 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. More...
 
 Operator (int s=0)
 Construct a square Operator with given size s (default 0). More...
 
 Operator (int h, int w)
 Construct an Operator with the given height (output size) and width (input size). More...
 
int Height () const
 Get the height (size of output) of the Operator. Synonym with NumRows(). More...
 
int NumRows () const
 Get the number of rows (size of output) of the Operator. Synonym with Height(). More...
 
int Width () const
 Get the width (size of input) of the Operator. Synonym with NumCols(). More...
 
int NumCols () const
 Get the number of columns (size of input) of the Operator. Synonym with Width(). More...
 
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. More...
 
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. More...
 
virtual const OperatorGetOutputRestrictionTranspose () const
 Transpose of GetOutputRestriction, directly available in this form to facilitate matrix-free RAP-type operators. More...
 
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. More...
 
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. More...
 
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(). More...
 
void FormSystemOperator (const Array< int > &ess_tdof_list, Operator *&A)
 Return in A a parallel (on truedofs) version of this square operator. More...
 
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). More...
 
void FormDiscreteOperator (Operator *&A)
 Return in A a parallel (on truedofs) version of this rectangular operator. More...
 
void PrintMatlab (std::ostream &out, int n, int m=0) const
 Prints operator with input size n and output size m in Matlab format. More...
 
virtual void PrintMatlab (std::ostream &out) const
 Prints operator in Matlab format. More...
 
virtual ~Operator ()
 Virtual destructor. More...
 
Type GetType () const
 Return the type ID of the Operator class. More...
 

Protected Member Functions

void SetupMultInputs (const Operator *elem_restrict_x, const Vector &x, Vector &localX, const Operator *elem_restrict_y, Vector &y, Vector &localY, const double c) const
 Helper function to set up inputs/outputs for Mult or MultTranspose. More...
 
- Protected Member Functions inherited from mfem::Operator
void FormConstrainedSystemOperator (const Array< int > &ess_tdof_list, ConstrainedOperator *&Aout)
 see FormSystemOperator() More...
 
void FormRectangularConstrainedSystemOperator (const Array< int > &trial_tdof_list, const Array< int > &test_tdof_list, RectangularConstrainedOperator *&Aout)
 see FormRectangularSystemOperator() More...
 
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". More...
 

Protected Attributes

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. More...
 
- Protected Attributes inherited from mfem::Operator
int height
 Dimension of the output / number of rows in the matrix. More...
 
int width
 Dimension of the input / number of columns in the matrix. More...
 

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

Data and methods for partially-assembled mixed bilinear forms.

Definition at line 221 of file bilinearform_ext.hpp.

Constructor & Destructor Documentation

◆ PAMixedBilinearFormExtension()

mfem::PAMixedBilinearFormExtension::PAMixedBilinearFormExtension ( MixedBilinearForm form)

Definition at line 1165 of file bilinearform_ext.cpp.

Member Function Documentation

◆ AddMult()

void mfem::PAMixedBilinearFormExtension::AddMult ( const Vector x,
Vector y,
const double  c = 1.0 
) const
virtual

y += c*A*x

Implements mfem::MixedBilinearFormExtension.

Reimplemented in mfem::PADiscreteLinearOperatorExtension.

Definition at line 1285 of file bilinearform_ext.cpp.

◆ AddMultTranspose()

void mfem::PAMixedBilinearFormExtension::AddMultTranspose ( const Vector x,
Vector y,
const double  c = 1.0 
) const
virtual

y += c*A^T*x

Implements mfem::MixedBilinearFormExtension.

Reimplemented in mfem::PADiscreteLinearOperatorExtension.

Definition at line 1317 of file bilinearform_ext.cpp.

◆ Assemble()

void mfem::PAMixedBilinearFormExtension::Assemble ( )
virtual

Partial assembly of all internal integrators.

Implements mfem::MixedBilinearFormExtension.

Reimplemented in mfem::PADiscreteLinearOperatorExtension.

Definition at line 1176 of file bilinearform_ext.cpp.

◆ AssembleDiagonal_ADAt()

void mfem::PAMixedBilinearFormExtension::AssembleDiagonal_ADAt ( const Vector D,
Vector diag 
) const
virtual

Assemble the diagonal of ADA^T for a diagonal vector D.

Implements mfem::MixedBilinearFormExtension.

Definition at line 1342 of file bilinearform_ext.cpp.

◆ FormRectangularLinearSystem()

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

Setup OperatorHandle A to contain constrained linear operator and eliminate columns corresponding to essential dofs from system, updating RHS B vector with the results.

Implements mfem::MixedBilinearFormExtension.

Definition at line 1226 of file bilinearform_ext.cpp.

◆ FormRectangularSystemOperator()

void mfem::PAMixedBilinearFormExtension::FormRectangularSystemOperator ( const Array< int > &  trial_tdof_list,
const Array< int > &  test_tdof_list,
OperatorHandle A 
)
virtual

Setup OperatorHandle A to contain constrained linear operator.

OperatorHandle A contains matrix-free constrained operator formed for RAP system where ess_tdof_list are in trial space and eliminated from "columns" of A.

Implements mfem::MixedBilinearFormExtension.

Reimplemented in mfem::PADiscreteLinearOperatorExtension.

Definition at line 1215 of file bilinearform_ext.cpp.

◆ Mult()

void mfem::PAMixedBilinearFormExtension::Mult ( const Vector x,
Vector y 
) const
virtual

y = A*x

Implements mfem::Operator.

Definition at line 1279 of file bilinearform_ext.cpp.

◆ MultTranspose()

void mfem::PAMixedBilinearFormExtension::MultTranspose ( const Vector x,
Vector y 
) const
virtual

y = A^T*x

Reimplemented from mfem::Operator.

Definition at line 1310 of file bilinearform_ext.cpp.

◆ SetupMultInputs()

void mfem::PAMixedBilinearFormExtension::SetupMultInputs ( const Operator elem_restrict_x,
const Vector x,
Vector localX,
const Operator elem_restrict_y,
Vector y,
Vector localY,
const double  c 
) const
protected

Helper function to set up inputs/outputs for Mult or MultTranspose.

Definition at line 1239 of file bilinearform_ext.cpp.

◆ Update()

void mfem::PAMixedBilinearFormExtension::Update ( )
virtual

Update internals for when a new MixedBilinearForm is given to this class.

Implements mfem::MixedBilinearFormExtension.

Definition at line 1192 of file bilinearform_ext.cpp.

Member Data Documentation

◆ elem_restrict_test

const Operator* mfem::PAMixedBilinearFormExtension::elem_restrict_test
protected

Definition at line 227 of file bilinearform_ext.hpp.

◆ elem_restrict_trial

const Operator* mfem::PAMixedBilinearFormExtension::elem_restrict_trial
protected

Definition at line 226 of file bilinearform_ext.hpp.

◆ localTest

Vector mfem::PAMixedBilinearFormExtension::localTest
mutableprotected

Definition at line 225 of file bilinearform_ext.hpp.

◆ localTrial

Vector mfem::PAMixedBilinearFormExtension::localTrial
mutableprotected

Definition at line 225 of file bilinearform_ext.hpp.

◆ tempY

Vector mfem::PAMixedBilinearFormExtension::tempY
mutableprotected

Definition at line 225 of file bilinearform_ext.hpp.

◆ test_fes

const FiniteElementSpace * mfem::PAMixedBilinearFormExtension::test_fes
protected

Definition at line 224 of file bilinearform_ext.hpp.

◆ trial_fes

const FiniteElementSpace* mfem::PAMixedBilinearFormExtension::trial_fes
protected

Definition at line 224 of file bilinearform_ext.hpp.


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