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

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

#include <bilinearform_ext.hpp>

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

 PABilinearFormExtension (BilinearForm *)
 
void Assemble ()
 Assemble at the level given for the BilinearFormExtension subclass.
 
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 FormSystemMatrix (const Array< int > &ess_tdof_list, OperatorHandle &A)
 
void FormLinearSystem (const Array< int > &ess_tdof_list, Vector &x, Vector &b, OperatorHandle &A, Vector &X, Vector &B, int copy_interior=0)
 
void Mult (const Vector &x, Vector &y) const
 Operator application: y=A(x).
 
void MultTranspose (const Vector &x, Vector &y) const
 Action of the transpose operator: y=A^t(x). The default behavior in class Operator is to generate an error.
 
void Update ()
 
- Public Member Functions inherited from mfem::BilinearFormExtension
 BilinearFormExtension (BilinearForm *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.
 
- 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 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 AddMultTranspose (const Vector &x, Vector &y, const real_t a=1.0) const
 Operator transpose application: y+=A^t(x) (default) or y+=a*A^t(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 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.
 

Protected Member Functions

void SetupRestrictionOperators (const L2FaceValues m)
 
void AddMultWithMarkers (const BilinearFormIntegrator &integ, const Vector &x, const Array< int > *markers, const Array< int > &attributes, const bool transpose, Vector &y) const
 Accumulate the action (or transpose) of the integrator on x into y, taking into account the (possibly null) markers array.
 
void AddMultNormalDerivativesWithMarkers (const BilinearFormIntegrator &integ, const Vector &x, const Vector &dxdn, const Array< int > *markers, const Array< int > &attributes, Vector &y, Vector &dydn) const
 Performs the same function as AddMultWithMarkers, but takes as input and output face normal derivatives.
 
- 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

const FiniteElementSpacetrial_fes
 
const FiniteElementSpacetest_fes
 
Array< int > elem_attributes
 Attributes of all mesh elements.
 
Array< int > bdr_attributes
 
Vector tmp_evec
 
Vector localX
 
Vector localY
 
Vector int_face_X
 
Vector int_face_Y
 
Vector bdr_face_X
 
Vector bdr_face_Y
 
Vector int_face_dXdn
 
Vector int_face_dYdn
 
Vector bdr_face_dXdn
 
Vector bdr_face_dYdn
 
const Operatorelem_restrict
 
const FaceRestrictionint_face_restrict_lex
 
const FaceRestrictionbdr_face_restrict_lex
 
- Protected Attributes inherited from mfem::BilinearFormExtension
BilinearForma
 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.
 

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 bilinear forms.

Definition at line 67 of file bilinearform_ext.hpp.

Constructor & Destructor Documentation

◆ PABilinearFormExtension()

mfem::PABilinearFormExtension::PABilinearFormExtension ( BilinearForm * form)

Definition at line 245 of file bilinearform_ext.cpp.

Member Function Documentation

◆ AddMultNormalDerivativesWithMarkers()

void mfem::PABilinearFormExtension::AddMultNormalDerivativesWithMarkers ( const BilinearFormIntegrator & integ,
const Vector & x,
const Vector & dxdn,
const Array< int > * markers,
const Array< int > & attributes,
Vector & y,
Vector & dydn ) const
protected

Performs the same function as AddMultWithMarkers, but takes as input and output face normal derivatives.

This is required when the integrator requires face normal derivatives, for example, DGDiffusionIntegrator.

This is called when the integrator's member function BilinearFormIntegrator::RequiresFaceNormalDerivatives() returns true.

Definition at line 793 of file bilinearform_ext.cpp.

◆ AddMultWithMarkers()

void mfem::PABilinearFormExtension::AddMultWithMarkers ( const BilinearFormIntegrator & integ,
const Vector & x,
const Array< int > * markers,
const Array< int > & attributes,
const bool transpose,
Vector & y ) const
protected

Accumulate the action (or transpose) of the integrator on x into y, taking into account the (possibly null) markers array.

If markers is non-null, then only those elements or boundary elements whose attribute is marked in the markers array will be added to y.

Parameters
integThe integrator (domain, boundary, or boundary face).
xInput E-vector.
markersMarked attributes (possibly null, meaning all attributes).
attributesArray of element or boundary element attributes.
transposeCompute the action or transpose of the integrator .
yOutput E-vector

Definition at line 824 of file bilinearform_ext.cpp.

◆ Assemble()

void mfem::PABilinearFormExtension::Assemble ( )
virtual

Assemble at the level given for the BilinearFormExtension subclass.

Implements mfem::BilinearFormExtension.

Definition at line 373 of file bilinearform_ext.cpp.

◆ AssembleDiagonal()

void mfem::PABilinearFormExtension::AssembleDiagonal ( Vector & diag) const
virtual

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.

Reimplemented from mfem::BilinearFormExtension.

Definition at line 411 of file bilinearform_ext.cpp.

◆ FormLinearSystem()

void mfem::PABilinearFormExtension::FormLinearSystem ( const Array< int > & ess_tdof_list,
Vector & x,
Vector & b,
OperatorHandle & A,
Vector & X,
Vector & B,
int copy_interior = 0 )
virtual

Implements mfem::BilinearFormExtension.

Definition at line 517 of file bilinearform_ext.cpp.

◆ FormSystemMatrix()

void mfem::PABilinearFormExtension::FormSystemMatrix ( const Array< int > & ess_tdof_list,
OperatorHandle & A )
virtual

Implements mfem::BilinearFormExtension.

Definition at line 509 of file bilinearform_ext.cpp.

◆ Mult()

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

Operator application: y=A(x).

Implements mfem::Operator.

Definition at line 528 of file bilinearform_ext.cpp.

◆ MultTranspose()

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

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 697 of file bilinearform_ext.cpp.

◆ SetupRestrictionOperators()

void mfem::PABilinearFormExtension::SetupRestrictionOperators ( const L2FaceValues m)
protected

Definition at line 255 of file bilinearform_ext.cpp.

◆ Update()

void mfem::PABilinearFormExtension::Update ( )
virtual

Implements mfem::BilinearFormExtension.

Definition at line 497 of file bilinearform_ext.cpp.

Member Data Documentation

◆ bdr_attributes

Array<int> mfem::PABilinearFormExtension::bdr_attributes
protected

Definition at line 72 of file bilinearform_ext.hpp.

◆ bdr_face_dXdn

Vector mfem::PABilinearFormExtension::bdr_face_dXdn
mutableprotected

Definition at line 78 of file bilinearform_ext.hpp.

◆ bdr_face_dYdn

Vector mfem::PABilinearFormExtension::bdr_face_dYdn
protected

Definition at line 78 of file bilinearform_ext.hpp.

◆ bdr_face_restrict_lex

const FaceRestriction* mfem::PABilinearFormExtension::bdr_face_restrict_lex
protected

Definition at line 81 of file bilinearform_ext.hpp.

◆ bdr_face_X

Vector mfem::PABilinearFormExtension::bdr_face_X
mutableprotected

Definition at line 76 of file bilinearform_ext.hpp.

◆ bdr_face_Y

Vector mfem::PABilinearFormExtension::bdr_face_Y
protected

Definition at line 76 of file bilinearform_ext.hpp.

◆ elem_attributes

Array<int> mfem::PABilinearFormExtension::elem_attributes
protected

Attributes of all mesh elements.

Definition at line 72 of file bilinearform_ext.hpp.

◆ elem_restrict

const Operator* mfem::PABilinearFormExtension::elem_restrict
protected

Definition at line 79 of file bilinearform_ext.hpp.

◆ int_face_dXdn

Vector mfem::PABilinearFormExtension::int_face_dXdn
mutableprotected

Definition at line 77 of file bilinearform_ext.hpp.

◆ int_face_dYdn

Vector mfem::PABilinearFormExtension::int_face_dYdn
protected

Definition at line 77 of file bilinearform_ext.hpp.

◆ int_face_restrict_lex

const FaceRestriction* mfem::PABilinearFormExtension::int_face_restrict_lex
protected

Definition at line 80 of file bilinearform_ext.hpp.

◆ int_face_X

Vector mfem::PABilinearFormExtension::int_face_X
mutableprotected

Definition at line 75 of file bilinearform_ext.hpp.

◆ int_face_Y

Vector mfem::PABilinearFormExtension::int_face_Y
protected

Definition at line 75 of file bilinearform_ext.hpp.

◆ localX

Vector mfem::PABilinearFormExtension::localX
mutableprotected

Definition at line 74 of file bilinearform_ext.hpp.

◆ localY

Vector mfem::PABilinearFormExtension::localY
protected

Definition at line 74 of file bilinearform_ext.hpp.

◆ test_fes

const FiniteElementSpace * mfem::PABilinearFormExtension::test_fes
protected

Definition at line 70 of file bilinearform_ext.hpp.

◆ tmp_evec

Vector mfem::PABilinearFormExtension::tmp_evec
mutableprotected

Definition at line 73 of file bilinearform_ext.hpp.

◆ trial_fes

const FiniteElementSpace* mfem::PABilinearFormExtension::trial_fes
protected

Definition at line 70 of file bilinearform_ext.hpp.


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