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

#include <bilinearform.hpp>

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

 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)
 
virtual void FormRectangularSystemMatrix (const Array< int > &trial_tdof_list, const Array< int > &test_tdof_list, OperatorHandle &A)
 Return in A that is column-constrained. More...
 
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...
 
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 linear system A X = B, corresponding to this mixed bilinear form and the linear form b(.). 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

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 assembling of bilinear forms a(u,v) defined on different trial and test spaces. The assembled matrix M is such that

a(u,v) = V^t M U

where U and V are the vectors representing the functions u and v, respectively. The first argument, u, of a(,) is in the trial space and the second argument, v, is in the test space. Thus,

# of rows of M = dimension of the test space and
# of cols of M = dimension of the trial space.

Both trial and test spaces should be defined on the same mesh.

Definition at line 678 of file bilinearform.hpp.

Constructor & Destructor Documentation

◆ MixedBilinearForm() [1/2]

mfem::MixedBilinearForm::MixedBilinearForm ( FiniteElementSpace tr_fes,
FiniteElementSpace te_fes 
)

Construct a MixedBilinearForm on the given trial, tr_fes, and test, te_fes, FiniteElementSpaces.

The pointers tr_fes and te_fes are not owned by the newly constructed object.

Definition at line 1151 of file bilinearform.cpp.

◆ MixedBilinearForm() [2/2]

mfem::MixedBilinearForm::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.

The pointers tr_fes and te_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 MixedBilinearForm.

Definition at line 1164 of file bilinearform.cpp.

◆ ~MixedBilinearForm()

mfem::MixedBilinearForm::~MixedBilinearForm ( )
virtual

Definition at line 1844 of file bilinearform.cpp.

Member Function Documentation

◆ AddBdrTraceFaceIntegrator() [1/2]

void mfem::MixedBilinearForm::AddBdrTraceFaceIntegrator ( BilinearFormIntegrator bfi)

Adds a boundary trace face integrator. Assumes ownership of bfi.

Definition at line 1325 of file bilinearform.cpp.

◆ AddBdrTraceFaceIntegrator() [2/2]

void mfem::MixedBilinearForm::AddBdrTraceFaceIntegrator ( BilinearFormIntegrator bfi,
Array< int > &  bdr_marker 
)

Adds a boundary trace face integrator. Assumes ownership of bfi.

Definition at line 1332 of file bilinearform.cpp.

◆ AddBoundaryIntegrator() [1/2]

void mfem::MixedBilinearForm::AddBoundaryIntegrator ( BilinearFormIntegrator bfi)

Adds a boundary integrator. Assumes ownership of bfi.

Definition at line 1307 of file bilinearform.cpp.

◆ AddBoundaryIntegrator() [2/2]

void mfem::MixedBilinearForm::AddBoundaryIntegrator ( BilinearFormIntegrator bfi,
Array< int > &  bdr_marker 
)

Adds a boundary integrator. Assumes ownership of bfi.

Definition at line 1313 of file bilinearform.cpp.

◆ AddDomainIntegrator()

void mfem::MixedBilinearForm::AddDomainIntegrator ( BilinearFormIntegrator bfi)

Adds a domain integrator. Assumes ownership of bfi.

Definition at line 1302 of file bilinearform.cpp.

◆ AddMult()

void mfem::MixedBilinearForm::AddMult ( const Vector x,
Vector y,
const double  a = 1.0 
) const
virtual

Definition at line 1236 of file bilinearform.cpp.

◆ AddMultTranspose()

void mfem::MixedBilinearForm::AddMultTranspose ( const Vector x,
Vector y,
const double  a = 1.0 
) const
virtual

Definition at line 1255 of file bilinearform.cpp.

◆ AddTraceFaceIntegrator()

void mfem::MixedBilinearForm::AddTraceFaceIntegrator ( BilinearFormIntegrator bfi)

Add a trace face integrator. Assumes ownership of bfi.

This type of integrator assembles terms over all faces of the mesh using the face FE from the trial space and the two adjacent volume FEs from the test space.

Definition at line 1320 of file bilinearform.cpp.

◆ Assemble()

void mfem::MixedBilinearForm::Assemble ( int  skip_zeros = 1)

Definition at line 1339 of file bilinearform.cpp.

◆ AssembleBdrElementMatrix() [1/2]

void mfem::MixedBilinearForm::AssembleBdrElementMatrix ( int  i,
const DenseMatrix elmat,
int  skip_zeros = 1 
)

Assemble the given boundary element matrix.

The boundary element matrix elmat is assembled for the boundary element i, i.e. added to the system matrix. The flag skip_zeros skips the zero elements of the matrix, unless they are breaking the symmetry of the system matrix.

Definition at line 1682 of file bilinearform.cpp.

◆ AssembleBdrElementMatrix() [2/2]

void mfem::MixedBilinearForm::AssembleBdrElementMatrix ( int  i,
const DenseMatrix elmat,
Array< int > &  trial_vdofs,
Array< int > &  test_vdofs,
int  skip_zeros = 1 
)

Assemble the given boundary element matrix.

The boundary element matrix elmat is assembled for the boundary element i, i.e. added to the system matrix. The vdofs of the element are returned in trial_vdofs and test_vdofs. The flag skip_zeros skips the zero elements of the matrix, unless they are breaking the symmetry of the system matrix.

Definition at line 1688 of file bilinearform.cpp.

◆ AssembleDiagonal_ADAt()

void mfem::MixedBilinearForm::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.

Definition at line 1532 of file bilinearform.cpp.

◆ AssembleElementMatrix() [1/2]

void mfem::MixedBilinearForm::AssembleElementMatrix ( int  i,
const DenseMatrix elmat,
int  skip_zeros = 1 
)

Assemble the given element matrix.

The element matrix elmat is assembled for the element i, i.e. added to the system matrix. The flag skip_zeros skips the zero elements of the matrix, unless they are breaking the symmetry of the system matrix.

Definition at line 1663 of file bilinearform.cpp.

◆ AssembleElementMatrix() [2/2]

void mfem::MixedBilinearForm::AssembleElementMatrix ( int  i,
const DenseMatrix elmat,
Array< int > &  trial_vdofs,
Array< int > &  test_vdofs,
int  skip_zeros = 1 
)

Assemble the given element matrix.

The element matrix elmat is assembled for the element i, i.e. added to the system matrix. The vdofs of the element are returned in trial_vdofs and test_vdofs. The flag skip_zeros skips the zero elements of the matrix, unless they are breaking the symmetry of the system matrix.

Definition at line 1669 of file bilinearform.cpp.

◆ ComputeBdrElementMatrix()

void mfem::MixedBilinearForm::ComputeBdrElementMatrix ( int  i,
DenseMatrix elmat 
)

Compute the boundary element matrix of the given boundary element.

Definition at line 1638 of file bilinearform.cpp.

◆ ComputeElementMatrix()

void mfem::MixedBilinearForm::ComputeElementMatrix ( int  i,
DenseMatrix elmat 
)

Compute the element matrix of the given element.

Definition at line 1613 of file bilinearform.cpp.

◆ ConformingAssemble()

void mfem::MixedBilinearForm::ConformingAssemble ( )

For partially conforming trial and/or test FE spaces, complete the assembly process by performing A := P2^t A P1 where A is the internal sparse matrix; P1 and P2 are the conforming prolongation matrices of the trial and test FE spaces, respectively. After this call the MixedBilinearForm becomes an operator on the conforming FE spaces.

Definition at line 1580 of file bilinearform.cpp.

◆ Elem() [1/2]

double & mfem::MixedBilinearForm::Elem ( int  i,
int  j 
)
virtual

Returns a reference to: \( M_{ij} \).

Implements mfem::Matrix.

Definition at line 1220 of file bilinearform.cpp.

◆ Elem() [2/2]

const double & mfem::MixedBilinearForm::Elem ( int  i,
int  j 
) const
virtual

Returns a reference to: \( M_{ij} \).

Implements mfem::Matrix.

Definition at line 1225 of file bilinearform.cpp.

◆ EliminateEssentialBCFromTrialDofs()

void mfem::MixedBilinearForm::EliminateEssentialBCFromTrialDofs ( const Array< int > &  marked_vdofs,
const Vector sol,
Vector rhs 
)

Definition at line 1724 of file bilinearform.cpp.

◆ EliminateTestDofs()

void mfem::MixedBilinearForm::EliminateTestDofs ( const Array< int > &  bdr_attr_is_ess)
virtual

Definition at line 1730 of file bilinearform.cpp.

◆ EliminateTrialDofs()

void mfem::MixedBilinearForm::EliminateTrialDofs ( const Array< int > &  bdr_attr_is_ess,
const Vector sol,
Vector rhs 
)

Definition at line 1701 of file bilinearform.cpp.

◆ Finalize()

void mfem::MixedBilinearForm::Finalize ( int  skip_zeros = 1)
virtual

Finalizes the matrix initialization.

Reimplemented from mfem::Matrix.

Definition at line 1282 of file bilinearform.cpp.

◆ FormRectangularLinearSystem() [1/2]

void mfem::MixedBilinearForm::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 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 in mfem::ParMixedBilinearForm.

Definition at line 1803 of file bilinearform.cpp.

◆ FormRectangularLinearSystem() [2/2]

template<typename OpType >
void mfem::MixedBilinearForm::FormRectangularLinearSystem ( const Array< int > &  trial_tdof_list,
const Array< int > &  test_tdof_list,
Vector x,
Vector b,
OpType &  A,
Vector X,
Vector B 
)
inline

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

Version of the method FormRectangularLinearSystem() where the system matrix is returned in the variable A, of type OpType, holding a reference to the system matrix (created with the method OpType::MakeRef()). The reference will be invalidated when SetOperatorType(), Update(), or the destructor is called.

Definition at line 965 of file bilinearform.hpp.

◆ FormRectangularSystemMatrix() [1/2]

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

Return in A that is column-constrained.

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

Reimplemented in mfem::ParMixedBilinearForm.

Definition at line 1750 of file bilinearform.cpp.

◆ FormRectangularSystemMatrix() [2/2]

template<typename OpType >
void mfem::MixedBilinearForm::FormRectangularSystemMatrix ( const Array< int > &  trial_tdof_list,
const Array< int > &  test_tdof_list,
OpType &  A 
)
inline

Form the column-constrained linear system matrix A. See FormRectangularSystemMatrix() for details.

Version of the method FormRectangularSystemMatrix() where the system matrix is returned in the variable A, of type OpType, holding a reference to the system matrix (created with the method OpType::MakeRef()). The reference will be invalidated when SetOperatorType(), Update(), or the destructor is called.

Definition at line 934 of file bilinearform.hpp.

◆ GetBBFI()

Array<BilinearFormIntegrator*>* mfem::MixedBilinearForm::GetBBFI ( )
inline

Access all integrators added with AddBoundaryIntegrator().

Definition at line 809 of file bilinearform.hpp.

◆ GetBBFI_Marker()

Array<Array<int>*>* mfem::MixedBilinearForm::GetBBFI_Marker ( )
inline

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.

Definition at line 813 of file bilinearform.hpp.

◆ GetBlocks()

void mfem::MixedBilinearForm::GetBlocks ( Array2D< SparseMatrix *> &  blocks) const

Extract the associated matrix as SparseMatrix blocks. The number of block rows and columns is given by the vector dimensions (vdim) of the test and trial spaces, respectively.

Definition at line 1290 of file bilinearform.cpp.

◆ GetBTFBFI()

Array<BilinearFormIntegrator*>* mfem::MixedBilinearForm::GetBTFBFI ( )
inline

Access all integrators added with AddBdrTraceFaceIntegrator().

Definition at line 819 of file bilinearform.hpp.

◆ GetBTFBFI_Marker()

Array<Array<int>*>* mfem::MixedBilinearForm::GetBTFBFI_Marker ( )
inline

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.

Definition at line 824 of file bilinearform.hpp.

◆ GetDBFI()

Array<BilinearFormIntegrator*>* mfem::MixedBilinearForm::GetDBFI ( )
inline

Access all integrators added with AddDomainIntegrator().

Definition at line 806 of file bilinearform.hpp.

◆ GetOutputProlongation()

virtual const Operator* mfem::MixedBilinearForm::GetOutputProlongation ( ) const
inlinevirtual

Get the test finite element space prolongation matrix.

Reimplemented from mfem::Operator.

Definition at line 849 of file bilinearform.hpp.

◆ GetOutputRestriction()

virtual const Operator* mfem::MixedBilinearForm::GetOutputRestriction ( ) const
inlinevirtual

Get the test finite element space restriction matrix.

Reimplemented from mfem::Operator.

Definition at line 853 of file bilinearform.hpp.

◆ GetProlongation()

virtual const Operator* mfem::MixedBilinearForm::GetProlongation ( ) const
inlinevirtual

Get the input finite element space prolongation matrix.

Reimplemented from mfem::Operator.

Definition at line 841 of file bilinearform.hpp.

◆ GetRestriction()

virtual const Operator* mfem::MixedBilinearForm::GetRestriction ( ) const
inlinevirtual

Get the input finite element space restriction matrix.

Reimplemented from mfem::Operator.

Definition at line 845 of file bilinearform.hpp.

◆ GetTFBFI()

Array<BilinearFormIntegrator*>* mfem::MixedBilinearForm::GetTFBFI ( )
inline

Access all integrators added with AddTraceFaceIntegrator().

Definition at line 816 of file bilinearform.hpp.

◆ Inverse()

MatrixInverse * mfem::MixedBilinearForm::Inverse ( ) const
virtual

Returns a pointer to (an approximation) of the matrix inverse.

Implements mfem::Matrix.

Definition at line 1268 of file bilinearform.cpp.

◆ LoseMat()

SparseMatrix* mfem::MixedBilinearForm::LoseMat ( )
inline

Nullifies the internal matrix \( M \) and returns a pointer to it. Used for transferring ownership.

Definition at line 779 of file bilinearform.hpp.

◆ Mult()

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

Matrix multiplication: \( y = M x \).

Implements mfem::Operator.

Definition at line 1230 of file bilinearform.cpp.

◆ MultTranspose()

void mfem::MixedBilinearForm::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 1249 of file bilinearform.cpp.

◆ operator=()

void mfem::MixedBilinearForm::operator= ( const double  a)
inline

Sets all sparse values of \( M \) to a.

Definition at line 828 of file bilinearform.hpp.

◆ SetAssemblyLevel()

void mfem::MixedBilinearForm::SetAssemblyLevel ( AssemblyLevel  assembly_level)

Set the desired assembly level. The default is AssemblyLevel::LEGACY.

This method must be called before assembly.

Definition at line 1189 of file bilinearform.cpp.

◆ SpMat() [1/2]

const SparseMatrix& mfem::MixedBilinearForm::SpMat ( ) const
inline

Returns a const reference to the sparse matrix: \( M \).

Definition at line 772 of file bilinearform.hpp.

◆ SpMat() [2/2]

SparseMatrix& mfem::MixedBilinearForm::SpMat ( )
inline

Returns a reference to the sparse matrix: \( M \).

Definition at line 775 of file bilinearform.hpp.

◆ TestFESpace() [1/2]

FiniteElementSpace* mfem::MixedBilinearForm::TestFESpace ( )
inline

Return the test FE space associated with the BilinearForm.

Definition at line 985 of file bilinearform.hpp.

◆ TestFESpace() [2/2]

const FiniteElementSpace* mfem::MixedBilinearForm::TestFESpace ( ) const
inline

Read-only access to the associated test FiniteElementSpace.

Definition at line 987 of file bilinearform.hpp.

◆ TrialFESpace() [1/2]

FiniteElementSpace* mfem::MixedBilinearForm::TrialFESpace ( )
inline

Return the trial FE space associated with the BilinearForm.

Definition at line 980 of file bilinearform.hpp.

◆ TrialFESpace() [2/2]

const FiniteElementSpace* mfem::MixedBilinearForm::TrialFESpace ( ) const
inline

Read-only access to the associated trial FiniteElementSpace.

Definition at line 982 of file bilinearform.hpp.

◆ Update()

void mfem::MixedBilinearForm::Update ( )

Definition at line 1833 of file bilinearform.cpp.

Member Data Documentation

◆ assembly

AssemblyLevel mfem::MixedBilinearForm::assembly
protected

The form assembly level (full, partial, etc.)

Definition at line 688 of file bilinearform.hpp.

◆ boundary_integs

Array<BilinearFormIntegrator*> mfem::MixedBilinearForm::boundary_integs
protected

Boundary integrators.

Definition at line 703 of file bilinearform.hpp.

◆ boundary_integs_marker

Array<Array<int>*> mfem::MixedBilinearForm::boundary_integs_marker
protected

Entries are not owned.

Definition at line 704 of file bilinearform.hpp.

◆ boundary_trace_face_integs

Array<BilinearFormIntegrator*> mfem::MixedBilinearForm::boundary_trace_face_integs
protected

Boundary trace face (skeleton) integrators.

Definition at line 710 of file bilinearform.hpp.

◆ boundary_trace_face_integs_marker

Array<Array<int>*> mfem::MixedBilinearForm::boundary_trace_face_integs_marker
protected

Entries are not owned.

Definition at line 712 of file bilinearform.hpp.

◆ domain_integs

Array<BilinearFormIntegrator*> mfem::MixedBilinearForm::domain_integs
protected

Domain integrators.

Definition at line 700 of file bilinearform.hpp.

◆ elemmat

DenseMatrix mfem::MixedBilinearForm::elemmat
protected

Definition at line 714 of file bilinearform.hpp.

◆ ext

MixedBilinearFormExtension* mfem::MixedBilinearForm::ext
protected

Extension for supporting Full Assembly (FA), Element Assembly (EA), Partial Assembly (PA), or Matrix Free assembly (MF).

Definition at line 692 of file bilinearform.hpp.

◆ extern_bfs

int mfem::MixedBilinearForm::extern_bfs
protected

Indicates the BilinearFormIntegrators stored in domain_integs, boundary_integs, trace_face_integs and boundary_trace_face_integs are owned by another MixedBilinearForm.

Definition at line 697 of file bilinearform.hpp.

◆ mat

SparseMatrix* mfem::MixedBilinearForm::mat
protected

Owned.

Definition at line 681 of file bilinearform.hpp.

◆ mat_e

SparseMatrix* mfem::MixedBilinearForm::mat_e
protected

Owned.

Definition at line 682 of file bilinearform.hpp.

◆ test_fes

FiniteElementSpace * mfem::MixedBilinearForm::test_fes
protected

Not owned.

Definition at line 684 of file bilinearform.hpp.

◆ test_vdofs

Array<int> mfem::MixedBilinearForm::test_vdofs
protected

Definition at line 715 of file bilinearform.hpp.

◆ trace_face_integs

Array<BilinearFormIntegrator*> mfem::MixedBilinearForm::trace_face_integs
protected

Trace face (skeleton) integrators.

Definition at line 707 of file bilinearform.hpp.

◆ trial_fes

FiniteElementSpace* mfem::MixedBilinearForm::trial_fes
protected

Not owned.

Definition at line 684 of file bilinearform.hpp.

◆ trial_vdofs

Array<int> mfem::MixedBilinearForm::trial_vdofs
protected

Definition at line 715 of file bilinearform.hpp.


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