MFEM  v4.5.1
Finite element discretization library
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mfem::ParMixedBilinearForm Class Reference

Class for parallel bilinear form using different test and trial FE spaces. More...

#include <pbilinearform.hpp>

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

 ParMixedBilinearForm (ParFiniteElementSpace *trial_fes, ParFiniteElementSpace *test_fes)
 Construct a ParMixedBilinearForm on the given FiniteElementSpaces trial_fes and test_fes. More...
 
 ParMixedBilinearForm (ParFiniteElementSpace *trial_fes, ParFiniteElementSpace *test_fes, ParMixedBilinearForm *mbf)
 Create a ParMixedBilinearForm on the given FiniteElementSpaces trial_fes and test_fes, using the same integrators as the ParMixedBilinearForm mbf. More...
 
HypreParMatrixParallelAssemble ()
 Returns the matrix assembled on the true dofs, i.e. P_test^t A P_trial. More...
 
void ParallelAssemble (OperatorHandle &A)
 Returns the matrix assembled on the true dofs, i.e. A = P_test^t A_local P_trial, in the format (type id) specified by A. More...
 
virtual void FormRectangularSystemMatrix (const Array< int > &trial_tdof_list, const Array< int > &test_tdof_list, OperatorHandle &A)
 Return in A a parallel (on truedofs) version of this operator. More...
 
virtual void FormRectangularLinearSystem (const Array< int > &trial_tdof_list, const Array< int > &test_tdof_list, Vector &x, Vector &b, OperatorHandle &A, Vector &X, Vector &B)
 Form the parallel linear system A X = B, corresponding to this mixed bilinear form and the linear form b(.). More...
 
void TrueAddMult (const Vector &x, Vector &y, const double a=1.0) const
 Compute y += a (P^t A P) x, where x and y are vectors on the true dofs. More...
 
virtual ~ParMixedBilinearForm ()
 
- Public Member Functions inherited from mfem::MixedBilinearForm
 MixedBilinearForm (FiniteElementSpace *tr_fes, FiniteElementSpace *te_fes)
 Construct a MixedBilinearForm on the given trial, tr_fes, and test, te_fes, FiniteElementSpaces. More...
 
 MixedBilinearForm (FiniteElementSpace *tr_fes, FiniteElementSpace *te_fes, MixedBilinearForm *mbf)
 Create a MixedBilinearForm on the given trial, tr_fes, and test, te_fes, FiniteElementSpaces, using the same integrators as the MixedBilinearForm mbf. More...
 
virtual double & Elem (int i, int j)
 Returns a reference to: \( M_{ij} \). More...
 
virtual const double & Elem (int i, int j) const
 Returns a reference to: \( M_{ij} \). More...
 
virtual void Mult (const Vector &x, Vector &y) const
 Matrix multiplication: \( y = M x \). More...
 
virtual void AddMult (const Vector &x, Vector &y, const double a=1.0) const
 
virtual 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. More...
 
virtual void AddMultTranspose (const Vector &x, Vector &y, const double a=1.0) const
 
virtual MatrixInverseInverse () const
 Returns a pointer to (an approximation) of the matrix inverse. More...
 
virtual void Finalize (int skip_zeros=1)
 Finalizes the matrix initialization. More...
 
void GetBlocks (Array2D< SparseMatrix * > &blocks) const
 
const SparseMatrixSpMat () const
 Returns a const reference to the sparse matrix: \( M \). More...
 
SparseMatrixSpMat ()
 Returns a reference to the sparse matrix: \( M \). More...
 
SparseMatrixLoseMat ()
 Nullifies the internal matrix \( M \) and returns a pointer to it. Used for transferring ownership. More...
 
void AddDomainIntegrator (BilinearFormIntegrator *bfi)
 Adds a domain integrator. Assumes ownership of bfi. More...
 
void AddBoundaryIntegrator (BilinearFormIntegrator *bfi)
 Adds a boundary integrator. Assumes ownership of bfi. More...
 
void AddBoundaryIntegrator (BilinearFormIntegrator *bfi, Array< int > &bdr_marker)
 Adds a boundary integrator. Assumes ownership of bfi. More...
 
void AddTraceFaceIntegrator (BilinearFormIntegrator *bfi)
 Add a trace face integrator. Assumes ownership of bfi. More...
 
void AddBdrTraceFaceIntegrator (BilinearFormIntegrator *bfi)
 Adds a boundary trace face integrator. Assumes ownership of bfi. More...
 
void AddBdrTraceFaceIntegrator (BilinearFormIntegrator *bfi, Array< int > &bdr_marker)
 Adds a boundary trace face integrator. Assumes ownership of bfi. More...
 
Array< BilinearFormIntegrator * > * GetDBFI ()
 Access all integrators added with AddDomainIntegrator(). More...
 
Array< BilinearFormIntegrator * > * GetBBFI ()
 Access all integrators added with AddBoundaryIntegrator(). More...
 
Array< Array< int > * > * GetBBFI_Marker ()
 Access all boundary markers added with AddBoundaryIntegrator(). If no marker was specified when the integrator was added, the corresponding pointer (to Array<int>) will be NULL. More...
 
Array< BilinearFormIntegrator * > * GetTFBFI ()
 Access all integrators added with AddTraceFaceIntegrator(). More...
 
Array< BilinearFormIntegrator * > * GetBTFBFI ()
 Access all integrators added with AddBdrTraceFaceIntegrator(). More...
 
Array< Array< int > * > * GetBTFBFI_Marker ()
 Access all boundary markers added with AddBdrTraceFaceIntegrator(). If no marker was specified when the integrator was added, the corresponding pointer (to Array<int>) will be NULL. More...
 
void operator= (const double a)
 Sets all sparse values of \( M \) to a. More...
 
void SetAssemblyLevel (AssemblyLevel assembly_level)
 Set the desired assembly level. The default is AssemblyLevel::LEGACY. More...
 
void Assemble (int skip_zeros=1)
 
void AssembleDiagonal_ADAt (const Vector &D, Vector &diag) const
 Assemble the diagonal of ADA^T into diag, where A is this mixed bilinear form and D is a diagonal. More...
 
virtual const OperatorGetProlongation () const
 Get the input finite element space prolongation matrix. More...
 
virtual const OperatorGetRestriction () const
 Get the input finite element space restriction matrix. More...
 
virtual const OperatorGetOutputProlongation () const
 Get the test finite element space prolongation matrix. More...
 
virtual const OperatorGetOutputRestriction () const
 Get the test finite element space restriction matrix. More...
 
void ConformingAssemble ()
 
void ComputeElementMatrix (int i, DenseMatrix &elmat)
 Compute the element matrix of the given element. More...
 
void ComputeBdrElementMatrix (int i, DenseMatrix &elmat)
 Compute the boundary element matrix of the given boundary element. More...
 
void AssembleElementMatrix (int i, const DenseMatrix &elmat, int skip_zeros=1)
 Assemble the given element matrix. More...
 
void AssembleElementMatrix (int i, const DenseMatrix &elmat, Array< int > &trial_vdofs, Array< int > &test_vdofs, int skip_zeros=1)
 Assemble the given element matrix. More...
 
void AssembleBdrElementMatrix (int i, const DenseMatrix &elmat, int skip_zeros=1)
 Assemble the given boundary element matrix. More...
 
void AssembleBdrElementMatrix (int i, const DenseMatrix &elmat, Array< int > &trial_vdofs, Array< int > &test_vdofs, int skip_zeros=1)
 Assemble the given boundary element matrix. More...
 
void EliminateTrialDofs (const Array< int > &bdr_attr_is_ess, const Vector &sol, Vector &rhs)
 
void EliminateEssentialBCFromTrialDofs (const Array< int > &marked_vdofs, const Vector &sol, Vector &rhs)
 
virtual void EliminateTestDofs (const Array< int > &bdr_attr_is_ess)
 
template<typename OpType >
void FormRectangularSystemMatrix (const Array< int > &trial_tdof_list, const Array< int > &test_tdof_list, OpType &A)
 Form the column-constrained linear system matrix A. See FormRectangularSystemMatrix() for details. More...
 
template<typename OpType >
void FormRectangularLinearSystem (const Array< int > &trial_tdof_list, const Array< int > &test_tdof_list, Vector &x, Vector &b, OpType &A, Vector &X, Vector &B)
 Form the linear system A X = B, corresponding to this bilinear form and the linear form b(.). More...
 
void Update ()
 
FiniteElementSpaceTrialFESpace ()
 Return the trial FE space associated with the BilinearForm. More...
 
const FiniteElementSpaceTrialFESpace () const
 Read-only access to the associated trial FiniteElementSpace. More...
 
FiniteElementSpaceTestFESpace ()
 Return the test FE space associated with the BilinearForm. More...
 
const FiniteElementSpaceTestFESpace () const
 Read-only access to the associated test FiniteElementSpace. More...
 
virtual ~MixedBilinearForm ()
 
- Public Member Functions inherited from mfem::Matrix
 Matrix (int s)
 Creates a square matrix of size s. More...
 
 Matrix (int h, int w)
 Creates a matrix of the given height and width. More...
 
bool IsSquare () const
 Returns whether the matrix is a square matrix. More...
 
virtual void Print (std::ostream &out=mfem::out, int width_=4) const
 Prints matrix to stream out. More...
 
virtual ~Matrix ()
 Destroys 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 MemoryClass GetMemoryClass () const
 Return the MemoryClass preferred by the Operator. 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 Attributes

ParFiniteElementSpacetrial_pfes
 Points to the same object as trial_fes. More...
 
ParFiniteElementSpacetest_pfes
 Points to the same object as test_fes. More...
 
ParGridFunction Xaux
 Auxiliary objects used in TrueAddMult(). More...
 
ParGridFunction Yaux
 
OperatorHandle p_mat
 Matrix and eliminated matrix. More...
 
OperatorHandle p_mat_e
 
- Protected Attributes inherited from mfem::MixedBilinearForm
SparseMatrixmat
 Owned. More...
 
SparseMatrixmat_e
 Owned. More...
 
FiniteElementSpacetrial_fes
 Not owned. More...
 
FiniteElementSpacetest_fes
 Not owned. More...
 
AssemblyLevel assembly
 The form assembly level (full, partial, etc.) More...
 
MixedBilinearFormExtensionext
 
int extern_bfs
 Indicates the BilinearFormIntegrators stored in domain_integs, boundary_integs, trace_face_integs and boundary_trace_face_integs are owned by another MixedBilinearForm. More...
 
Array< BilinearFormIntegrator * > domain_integs
 Domain integrators. More...
 
Array< BilinearFormIntegrator * > boundary_integs
 Boundary integrators. More...
 
Array< Array< int > * > boundary_integs_marker
 Entries are not owned. More...
 
Array< BilinearFormIntegrator * > trace_face_integs
 Trace face (skeleton) integrators. More...
 
Array< BilinearFormIntegrator * > boundary_trace_face_integs
 Boundary trace face (skeleton) integrators. More...
 
Array< Array< int > * > boundary_trace_face_integs_marker
 Entries are not owned. More...
 
DenseMatrix elemmat
 
Array< int > trial_vdofs
 
Array< int > test_vdofs
 
- 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...
 
- 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...
 

Detailed Description

Class for parallel bilinear form using different test and trial FE spaces.

Definition at line 217 of file pbilinearform.hpp.

Constructor & Destructor Documentation

mfem::ParMixedBilinearForm::ParMixedBilinearForm ( ParFiniteElementSpace trial_fes,
ParFiniteElementSpace test_fes 
)
inline

Construct a ParMixedBilinearForm on the given FiniteElementSpaces trial_fes and test_fes.

The pointers trial_fes and test_fes are not owned by the newly constructed object.

Definition at line 242 of file pbilinearform.hpp.

mfem::ParMixedBilinearForm::ParMixedBilinearForm ( ParFiniteElementSpace trial_fes,
ParFiniteElementSpace test_fes,
ParMixedBilinearForm mbf 
)
inline

Create a ParMixedBilinearForm on the given FiniteElementSpaces trial_fes and test_fes, using the same integrators as the ParMixedBilinearForm mbf.

The pointers trial_fes and test_fes are not owned by the newly constructed object.

The integrators in mbf are copied as pointers and they are not owned by the newly constructed ParMixedBilinearForm.

Definition at line 260 of file pbilinearform.hpp.

virtual mfem::ParMixedBilinearForm::~ParMixedBilinearForm ( )
inlinevirtual

Definition at line 303 of file pbilinearform.hpp.

Member Function Documentation

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

Form the parallel linear system A X = B, corresponding to this mixed bilinear form and the linear form b(.).

Return in A a reference to the system matrix that is column-constrained. The reference will be invalidated when SetOperatorType(), Update(), or the destructor is called.

Reimplemented from mfem::MixedBilinearForm.

Definition at line 610 of file pbilinearform.cpp.

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

Return in A a parallel (on truedofs) version of this operator.

This returns the same operator as FormRectangularLinearSystem(), but does without the transformations of the right-hand side.

Reimplemented from mfem::MixedBilinearForm.

Definition at line 581 of file pbilinearform.cpp.

HypreParMatrix * mfem::ParMixedBilinearForm::ParallelAssemble ( )

Returns the matrix assembled on the true dofs, i.e. P_test^t A P_trial.

Definition at line 527 of file pbilinearform.cpp.

void mfem::ParMixedBilinearForm::ParallelAssemble ( OperatorHandle A)

Returns the matrix assembled on the true dofs, i.e. A = P_test^t A_local P_trial, in the format (type id) specified by A.

Definition at line 546 of file pbilinearform.cpp.

void mfem::ParMixedBilinearForm::TrueAddMult ( const Vector x,
Vector y,
const double  a = 1.0 
) const

Compute y += a (P^t A P) x, where x and y are vectors on the true dofs.

Definition at line 567 of file pbilinearform.cpp.

Member Data Documentation

OperatorHandle mfem::ParMixedBilinearForm::p_mat
protected

Matrix and eliminated matrix.

Definition at line 228 of file pbilinearform.hpp.

OperatorHandle mfem::ParMixedBilinearForm::p_mat_e
protected

Definition at line 228 of file pbilinearform.hpp.

ParFiniteElementSpace* mfem::ParMixedBilinearForm::test_pfes
protected

Points to the same object as test_fes.

Definition at line 223 of file pbilinearform.hpp.

ParFiniteElementSpace* mfem::ParMixedBilinearForm::trial_pfes
protected

Points to the same object as trial_fes.

Definition at line 221 of file pbilinearform.hpp.

ParGridFunction mfem::ParMixedBilinearForm::Xaux
mutableprotected

Auxiliary objects used in TrueAddMult().

Definition at line 225 of file pbilinearform.hpp.

ParGridFunction mfem::ParMixedBilinearForm::Yaux
mutableprotected

Definition at line 225 of file pbilinearform.hpp.


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