#include <bilinearform.hpp>

Inheritance diagram for mfem::MixedBilinearForm:

Collaboration diagram for mfem::MixedBilinearForm:

Public Member Functions
	MixedBilinearForm (FiniteElementSpace tr_fes, FiniteElementSpace te_fes)
	Construct a MixedBilinearForm on the given trial, tr_fes, and test, te_fes, FiniteElementSpaces.

	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.

real_t &	Elem (int i, int j) override
	Returns a reference to: \( M_{ij} \).

const real_t &	Elem (int i, int j) const override
	Returns a reference to: \( M_{ij} \).

void	Mult (const Vector &x, Vector &y) const override
	Matrix multiplication: \( y = M x \).

void	AddMult (const Vector &x, Vector &y, const real_t a=1.0) const override
	Add the matrix vector multiple to a vector: \( y += a M x \).

void	MultTranspose (const Vector &x, Vector &y) const override
	Matrix transpose vector multiplication: \( y = M^T x \).

void	AddMultTranspose (const Vector &x, Vector &y, const real_t a=1.0) const override
	Add the matrix transpose vector multiplication: \( y += a M^T x \).

MatrixInverse *	Inverse () const override
	Returns a pointer to (approximation) of the matrix inverse: \( M^{-1} \) (currently unimplemented and returns NULL)

void	Finalize (int skip_zeros=1) override
	Finalizes the matrix initialization if the AssemblyLevel is AssemblyLevel::LEGACY.

void	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.

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

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

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

const SparseMatrix &	SpMatElim () const
	Returns a const reference to the sparse matrix of eliminated b.c.: \( M_e \).

SparseMatrix &	SpMatElim ()
	Returns a reference to the sparse matrix of eliminated b.c.: \( M_e \).

void	AddDomainIntegrator (BilinearFormIntegrator *bfi)
	Adds a domain integrator. Assumes ownership of bfi.

void	AddDomainIntegrator (BilinearFormIntegrator *bfi, Array< int > &elem_marker)
	Adds a domain integrator. Assumes ownership of bfi.

void	AddBoundaryIntegrator (BilinearFormIntegrator *bfi)
	Adds a boundary integrator. Assumes ownership of bfi.

void	AddBoundaryIntegrator (BilinearFormIntegrator *bfi, Array< int > &bdr_marker)
	Adds a boundary integrator. Assumes ownership of bfi.

void	AddInteriorFaceIntegrator (BilinearFormIntegrator *bfi)
	Adds an interior face integrator. Assumes ownership of bfi.

void	AddBdrFaceIntegrator (BilinearFormIntegrator *bfi)
	Adds a boundary face integrator. Assumes ownership of bfi.

void	AddBdrFaceIntegrator (BilinearFormIntegrator *bfi, Array< int > &bdr_marker)
	Adds a boundary face integrator. Assumes ownership of bfi.

void	AddTraceFaceIntegrator (BilinearFormIntegrator *bfi)
	Add a trace face integrator. Assumes ownership of bfi.

void	AddBdrTraceFaceIntegrator (BilinearFormIntegrator *bfi)
	Adds a boundary trace face integrator. Assumes ownership of bfi.

void	AddBdrTraceFaceIntegrator (BilinearFormIntegrator *bfi, Array< int > &bdr_marker)
	Adds a boundary trace face integrator. Assumes ownership of bfi.

Array< BilinearFormIntegrator * > *	GetDBFI ()
	Access all integrators added with AddDomainIntegrator().

Array< Array< int > * > *	GetDBFI_Marker ()
	Access all domain markers added with AddDomainIntegrator(). If no marker was specified when the integrator was added, the corresponding pointer (to Array<int>) will be NULL.

Array< BilinearFormIntegrator * > *	GetBBFI ()
	Access all integrators added with AddBoundaryIntegrator().

Array< Array< int > * > *	GetBBFI_Marker ()
	Access all boundary markers added with AddBoundaryIntegrator().

Array< BilinearFormIntegrator * > *	GetFBFI ()
	Access all integrators added with AddInteriorFaceIntegrator().

Array< BilinearFormIntegrator * > *	GetBFBFI ()
	Access all integrators added with AddBdrFaceIntegrator().

Array< Array< int > * > *	GetBFBFI_Marker ()
	Access all boundary markers added with AddBdrFaceIntegrator(). If no marker was specified when the integrator was added, the corresponding pointer (to Array<int>) will be NULL.

Array< BilinearFormIntegrator * > *	GetTFBFI ()
	Access all integrators added with AddTraceFaceIntegrator().

Array< BilinearFormIntegrator * > *	GetBTFBFI ()
	Access all integrators added with AddBdrTraceFaceIntegrator().

Array< Array< int > * > *	GetBTFBFI_Marker ()
	Access all boundary markers added with AddBdrTraceFaceIntegrator()

void	operator= (const real_t a)
	Sets all sparse values of \( M \) to a.

void	SetAssemblyLevel (AssemblyLevel assembly_level)
	Set the desired assembly level. The default is AssemblyLevel::LEGACY.

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.

const Operator *	GetProlongation () const override
	Get the input finite element space prolongation matrix.

const Operator *	GetRestriction () const override
	Get the input finite element space restriction matrix.

const Operator *	GetOutputProlongation () const override
	Get the test finite element space prolongation matrix.

const Operator *	GetOutputRestriction () const override
	Get the test finite element space restriction matrix.

void	ConformingAssemble ()
	For partially conforming trial and/or test FE spaces, complete the assembly process by performing \( P2^t A P1 \) 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.

void	ComputeElementMatrix (int i, DenseMatrix &elmat) const
	Compute the element matrix of the given element.

void	ComputeBdrElementMatrix (int i, DenseMatrix &elmat) const
	Compute the boundary element matrix of the given boundary element.

void	ComputeTraceFaceMatrix (int i, DenseMatrix &elmat) const
	Compute the trace face matrix of the given face element.

void	ComputeBdrTraceFaceMatrix (int i, DenseMatrix &elmat) const
	Compute the boundary trace face matrix of the given boundary element.

void	ComputeFaceMatrix (int i, DenseMatrix &elmat) const
	Compute the face matrix of the given face element.

void	ComputeBdrFaceMatrix (int i, DenseMatrix &elmat) const
	Compute the boundary face matrix of the given boundary element.

void	AssembleElementMatrix (int i, const DenseMatrix &elmat, int skip_zeros=1)
	Assemble the given element matrix.

void	AssembleElementMatrix (int i, const DenseMatrix &elmat, Array< int > &trial_vdofs, Array< int > &test_vdofs, int skip_zeros=1)
	Assemble the given element matrix.

void	AssembleBdrElementMatrix (int i, const DenseMatrix &elmat, int skip_zeros=1)
	Assemble the given boundary element matrix.

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.

void	EliminateTrialEssentialBC (const Array< int > &bdr_attr_is_ess, const Vector &sol, Vector &rhs)
	Eliminate essential boundary trial DOFs from the system.

void	EliminateTrialEssentialBC (const Array< int > &bdr_attr_is_ess)
	Eliminate essential boundary trial DOFs from the system matrix.

MFEM_DEPRECATED void	EliminateTrialDofs (const Array< int > &bdr_attr_is_ess, const Vector &sol, Vector &rhs)
	(DEPRECATED) Eliminate essential boundary trial DOFs from the system.

void	EliminateTrialVDofs (const Array< int > &vdofs, const Vector &sol, Vector &rhs)
	Eliminate the given trial vdofs. NOTE: here, vdofs is a list of DOFs.

void	EliminateTrialVDofs (const Array< int > &vdofs)
	Eliminate the given trial vdofs, storing the eliminated part internally in \( M_e \).

void	EliminateTrialVDofsInRHS (const Array< int > &vdofs, const Vector &x, Vector &b)
	Use the stored eliminated part of the matrix (see EliminateTrialVDofs(const Array<int> &)) to modify the r.h.s. b; vdofs is a list of DOFs (non-directional, i.e. >= 0).

void	EliminateEssentialBCFromTrialDofs (const Array< int > &marked_vdofs, const Vector &sol, Vector &rhs)
	Similar to EliminateTrialVDofs(const Array<int> &, const Vector &, Vector &) but here ess_dofs is a marker (boolean) array on all vector-dofs (ess_dofs[i] < 0 is true).

void	EliminateTestEssentialBC (const Array< int > &bdr_attr_is_ess)
	Eliminate essential boundary test DOFs from the system matrix.

virtual MFEM_DEPRECATED void	EliminateTestDofs (const Array< int > &bdr_attr_is_ess)
	(DEPRECATED) Eliminate essential boundary test DOFs from the system.

void	EliminateTestVDofs (const Array< int > &vdofs)
	Eliminate the given test vdofs. NOTE: here, vdofs is a list of DOFs.

virtual void	FormRectangularSystemMatrix (const Array< int > &trial_tdof_list, const Array< int > &test_tdof_list, OperatorHandle &A)
	Return in A that is column-constrained.

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.

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(.).

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(.).

void	Update ()
	Must be called after making changes to trial_fes or test_fes.

FiniteElementSpace *	TrialFESpace ()
	Return the trial FE space associated with the BilinearForm.

const FiniteElementSpace *	TrialFESpace () const
	Read-only access to the associated trial FiniteElementSpace.

FiniteElementSpace *	TestFESpace ()
	Return the test FE space associated with the BilinearForm.

const FiniteElementSpace *	TestFESpace () const
	Read-only access to the associated test FiniteElementSpace.

void	Print (std::ostream &os=mfem::out, int width_=4) const override
	Prints operator to stream os.

virtual	~MixedBilinearForm ()
	Deletes internal matrices, bilinear integrators, and the BilinearFormExtension.

Public Member Functions inherited from mfem::Matrix
	Matrix (int s)
	Creates a square matrix of size s.

	Matrix (int h, int w)
	Creates a matrix of the given height and width.

bool	IsSquare () const
	Returns whether the matrix is a square matrix.

virtual	~Matrix ()
	Destroys 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 MemoryClass	GetMemoryClass () const
	Return the MemoryClass preferred by the Operator.

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 Operator &	GetGradient (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.

virtual const Operator *	GetOutputRestrictionTranspose () const
	Transpose of GetOutputRestriction, directly available in this form to facilitate matrix-free RAP-type operators.

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 Attributes
SparseMatrix *	mat
	Owned.

SparseMatrix *	mat_e
	Owned.

FiniteElementSpace *	trial_fes
	Not owned.

FiniteElementSpace *	test_fes
	Not owned.

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

std::unique_ptr< MixedBilinearFormExtension >	ext

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

Array< BilinearFormIntegrator * >	domain_integs
	Domain integrators.

Array< Array< int > * >	domain_integs_marker
	Entries are not owned.

Array< BilinearFormIntegrator * >	boundary_integs
	Boundary integrators.

Array< Array< int > * >	boundary_integs_marker
	Entries are not owned.

Array< BilinearFormIntegrator * >	interior_face_integs
	Interior face integrators.

Array< BilinearFormIntegrator * >	boundary_face_integs
	Boundary face integrators.

Array< Array< int > * >	boundary_face_integs_marker
	Entries are not owned.

Array< BilinearFormIntegrator * >	trace_face_integs
	Trace face (skeleton) integrators.

Array< BilinearFormIntegrator * >	boundary_trace_face_integs
	Boundary trace face (skeleton) integrators.

Array< Array< int > * >	boundary_trace_face_integs_marker
	Entries are not owned.

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.

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...

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()

Operator *	SetupRAP (const Operator Pi, const Operator Po)
	Returns RAP Operator of this, using input/output Prolongation matrices Pi corresponds to "P", Po corresponds to "Rt".

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 755 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 1308 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 1321 of file bilinearform.cpp.

◆ ~MixedBilinearForm()

mfem::MixedBilinearForm::~MixedBilinearForm ( )

virtual

Deletes internal matrices, bilinear integrators, and the BilinearFormExtension.

Definition at line 2353 of file bilinearform.cpp.

Member Function Documentation

◆ AddBdrFaceIntegrator() [1/2]

void mfem::MixedBilinearForm::AddBdrFaceIntegrator ( BilinearFormIntegrator * bfi )

Adds a boundary face integrator. Assumes ownership of bfi.

Definition at line 1492 of file bilinearform.cpp.

◆ AddBdrFaceIntegrator() [2/2]

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

Adds a boundary face integrator. Assumes ownership of bfi.

Definition at line 1498 of file bilinearform.cpp.

◆ AddBdrTraceFaceIntegrator() [1/2]

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

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

Definition at line 1510 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 1517 of file bilinearform.cpp.

◆ AddBoundaryIntegrator() [1/2]

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

Adds a boundary integrator. Assumes ownership of bfi.

Definition at line 1474 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 1480 of file bilinearform.cpp.

◆ AddDomainIntegrator() [1/2]

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

Adds a domain integrator. Assumes ownership of bfi.

Definition at line 1461 of file bilinearform.cpp.

◆ AddDomainIntegrator() [2/2]

void mfem::MixedBilinearForm::AddDomainIntegrator	(	BilinearFormIntegrator *	bfi,
		Array< int > &	elem_marker )

Adds a domain integrator. Assumes ownership of bfi.

Definition at line 1467 of file bilinearform.cpp.

◆ AddInteriorFaceIntegrator()

void mfem::MixedBilinearForm::AddInteriorFaceIntegrator ( BilinearFormIntegrator * bfi )

Adds an interior face integrator. Assumes ownership of bfi.

Definition at line 1487 of file bilinearform.cpp.

◆ AddMult()

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

overridevirtual

Add the matrix vector multiple to a vector: \( y += a M x \).

Reimplemented from mfem::Operator.

Definition at line 1395 of file bilinearform.cpp.

◆ AddMultTranspose()

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

overridevirtual

Add the matrix transpose vector multiplication: \( y += a M^T x \).

Reimplemented from mfem::Operator.

Definition at line 1414 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 1505 of file bilinearform.cpp.

◆ Assemble()

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

Definition at line 1524 of file bilinearform.cpp.

◆ AssembleBdrElementMatrix() [1/2]

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 2177 of file bilinearform.cpp.

◆ AssembleBdrElementMatrix() [2/2]

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 2171 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 1836 of file bilinearform.cpp.

◆ AssembleElementMatrix() [1/2]

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 2158 of file bilinearform.cpp.

◆ AssembleElementMatrix() [2/2]

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 2152 of file bilinearform.cpp.

◆ ComputeBdrElementMatrix()

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

Compute the boundary element matrix of the given boundary element.

Note: The boundary attribute markers of the integrators are ignored.

Definition at line 1944 of file bilinearform.cpp.

◆ ComputeBdrFaceMatrix()

void mfem::MixedBilinearForm::ComputeBdrFaceMatrix	(	int	i,
		DenseMatrix &	elmat ) const

Compute the boundary face matrix of the given boundary element.

Note: The boundary attribute markers of the integrators are ignored.

Definition at line 2024 of file bilinearform.cpp.

◆ ComputeBdrTraceFaceMatrix()

void mfem::MixedBilinearForm::ComputeBdrTraceFaceMatrix	(	int	i,
		DenseMatrix &	elmat ) const

Compute the boundary trace face matrix of the given boundary element.

Note: The boundary attribute markers of the integrators are ignored.

Definition at line 2112 of file bilinearform.cpp.

◆ ComputeElementMatrix()

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

Compute the element matrix of the given element.

Definition at line 1917 of file bilinearform.cpp.

◆ ComputeFaceMatrix()

void mfem::MixedBilinearForm::ComputeFaceMatrix	(	int	i,
		DenseMatrix &	elmat ) const

Compute the face matrix of the given face element.

Definition at line 1971 of file bilinearform.cpp.

◆ ComputeTraceFaceMatrix()

void mfem::MixedBilinearForm::ComputeTraceFaceMatrix	(	int	i,
		DenseMatrix &	elmat ) const

Compute the trace face matrix of the given face element.

Definition at line 2064 of file bilinearform.cpp.

◆ ConformingAssemble()

void mfem::MixedBilinearForm::ConformingAssemble ( )

For partially conforming trial and/or test FE spaces, complete the assembly process by performing \( P2^t A P1 \) 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 1884 of file bilinearform.cpp.

◆ Elem() [1/2]

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

overridevirtual

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

Implements mfem::Matrix.

Definition at line 1384 of file bilinearform.cpp.

◆ Elem() [2/2]

real_t & mfem::MixedBilinearForm::Elem	(	int	i,
		int	j )

overridevirtual

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

Implements mfem::Matrix.

Definition at line 1379 of file bilinearform.cpp.

◆ EliminateEssentialBCFromTrialDofs()

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

Similar to EliminateTrialVDofs(const Array<int> &, const Vector &, Vector &) but here ess_dofs is a marker (boolean) array on all vector-dofs (ess_dofs[i] < 0 is true).

Definition at line 2235 of file bilinearform.cpp.

◆ EliminateTestDofs()

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

inlinevirtual

(DEPRECATED) Eliminate essential boundary test DOFs from the system.

See also: EliminateTestEssentialBC()

Definition at line 1128 of file bilinearform.hpp.

◆ EliminateTestEssentialBC()

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

Eliminate essential boundary test DOFs from the system matrix.

The array bdr_attr_is_ess marks boundary attributes that constitute the essential part of the boundary.

Definition at line 2241 of file bilinearform.cpp.

◆ EliminateTestVDofs()

void mfem::MixedBilinearForm::EliminateTestVDofs ( const Array< int > & vdofs )

Eliminate the given test vdofs. NOTE: here, vdofs is a list of DOFs.

Definition at line 2262 of file bilinearform.cpp.

◆ EliminateTrialDofs()

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

inline

(DEPRECATED) Eliminate essential boundary trial DOFs from the system.

See also: EliminateTrialEssentialBC()

Definition at line 1092 of file bilinearform.hpp.

◆ EliminateTrialEssentialBC() [1/2]

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

Eliminate essential boundary trial DOFs from the system matrix.

The array bdr_attr_is_ess marks boundary attributes that constitute the essential part of the boundary.

Definition at line 2198 of file bilinearform.cpp.

◆ EliminateTrialEssentialBC() [2/2]

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

Eliminate essential boundary trial DOFs from the system.

The array bdr_attr_is_ess marks boundary attributes that constitute the essential part of the boundary.

Definition at line 2190 of file bilinearform.cpp.

◆ EliminateTrialVDofs() [1/2]

void mfem::MixedBilinearForm::EliminateTrialVDofs ( const Array< int > & vdofs )

Eliminate the given trial vdofs, storing the eliminated part internally in \( M_e \).

This method works in conjunction with EliminateTrialVDofsInRHS() and allows elimination of boundary conditions in multiple right-hand sides. In this method, vdofs is a list of DOFs.

Definition at line 2215 of file bilinearform.cpp.

◆ EliminateTrialVDofs() [2/2]

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

Eliminate the given trial vdofs. NOTE: here, vdofs is a list of DOFs.

In this case the eliminations are applied to the internal \( M \) and rhs without storing the elimination matrix \( M_e \).

Definition at line 2206 of file bilinearform.cpp.

◆ EliminateTrialVDofsInRHS()

void mfem::MixedBilinearForm::EliminateTrialVDofsInRHS	(	const Array< int > &	vdofs,
		const Vector &	x,
		Vector &	b )

Use the stored eliminated part of the matrix (see EliminateTrialVDofs(const Array<int> &)) to modify the r.h.s. b; vdofs is a list of DOFs (non-directional, i.e. >= 0).

Definition at line 2229 of file bilinearform.cpp.

◆ Finalize()

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

overridevirtual

Finalizes the matrix initialization if the AssemblyLevel is AssemblyLevel::LEGACY.

Reimplemented from mfem::Matrix.

Definition at line 1441 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 2312 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 1182 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::ParDiscreteLinearOperator, and mfem::ParMixedBilinearForm.

Definition at line 2270 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.

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 1151 of file bilinearform.hpp.

◆ GetBBFI()

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

inline

Access all integrators added with AddBoundaryIntegrator().

Definition at line 949 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 955 of file bilinearform.hpp.

◆ GetBFBFI()

Array< BilinearFormIntegrator * > * mfem::MixedBilinearForm::GetBFBFI ( )

inline

Access all integrators added with AddBdrFaceIntegrator().

Definition at line 961 of file bilinearform.hpp.

◆ GetBFBFI_Marker()

Array< Array< int > * > * mfem::MixedBilinearForm::GetBFBFI_Marker ( )

inline

Access all boundary markers added with AddBdrFaceIntegrator(). If no marker was specified when the integrator was added, the corresponding pointer (to Array<int>) will be NULL.

Definition at line 965 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 1449 of file bilinearform.cpp.

◆ GetBTFBFI()

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

inline

Access all integrators added with AddBdrTraceFaceIntegrator().

Definition at line 971 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 978 of file bilinearform.hpp.

◆ GetDBFI()

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

inline

Access all integrators added with AddDomainIntegrator().

Definition at line 942 of file bilinearform.hpp.

◆ GetDBFI_Marker()

Array< Array< int > * > * mfem::MixedBilinearForm::GetDBFI_Marker ( )

inline

Access all domain markers added with AddDomainIntegrator(). If no marker was specified when the integrator was added, the corresponding pointer (to Array<int>) will be NULL.

Definition at line 946 of file bilinearform.hpp.

◆ GetFBFI()

Array< BilinearFormIntegrator * > * mfem::MixedBilinearForm::GetFBFI ( )

inline

Access all integrators added with AddInteriorFaceIntegrator().

Definition at line 958 of file bilinearform.hpp.

◆ GetOutputProlongation()

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

inlineoverridevirtual

Get the test finite element space prolongation matrix.

Reimplemented from mfem::Operator.

Definition at line 1003 of file bilinearform.hpp.

◆ GetOutputRestriction()

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

inlineoverridevirtual

Get the test finite element space restriction matrix.

Reimplemented from mfem::Operator.

Definition at line 1007 of file bilinearform.hpp.

◆ GetProlongation()

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

inlineoverridevirtual

Get the input finite element space prolongation matrix.

Reimplemented from mfem::Operator.

Definition at line 995 of file bilinearform.hpp.

◆ GetRestriction()

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

inlineoverridevirtual

Get the input finite element space restriction matrix.

Reimplemented from mfem::Operator.

Definition at line 999 of file bilinearform.hpp.

◆ GetTFBFI()

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

inline

Access all integrators added with AddTraceFaceIntegrator().

Definition at line 968 of file bilinearform.hpp.

◆ Inverse()

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

overridevirtual

Returns a pointer to (approximation) of the matrix inverse: \( M^{-1} \) (currently unimplemented and returns NULL)

Implements mfem::Matrix.

Definition at line 1427 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 887 of file bilinearform.hpp.

◆ Mult()

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

overridevirtual

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

Implements mfem::Operator.

Definition at line 1389 of file bilinearform.cpp.

◆ MultTranspose()

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

overridevirtual

Matrix transpose vector multiplication: \( y = M^T x \).

Reimplemented from mfem::Operator.

Definition at line 1408 of file bilinearform.cpp.

◆ operator=()

void mfem::MixedBilinearForm::operator= ( const real_t a )

inline

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

Definition at line 982 of file bilinearform.hpp.

◆ Print()

void mfem::MixedBilinearForm::Print	(	std::ostream &	os = mfem::out,
		int	width_ = 4 ) const

inlineoverridevirtual

Prints operator to stream os.

Reimplemented from mfem::Matrix.

Definition at line 1211 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. See AssemblyLevel

Definition at line 1348 of file bilinearform.cpp.

◆ SpMat() [1/2]

SparseMatrix & mfem::MixedBilinearForm::SpMat ( )

inline

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

Definition at line 879 of file bilinearform.hpp.

◆ SpMat() [2/2]

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

inline

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

This will segfault if the usual sparse mat is not defined like when static condensation is being used or AllocMat() has not yet been called.

Definition at line 872 of file bilinearform.hpp.

◆ SpMatElim() [1/2]

SparseMatrix & mfem::MixedBilinearForm::SpMatElim ( )

inline

Returns a reference to the sparse matrix of eliminated b.c.: \( M_e \).

Definition at line 897 of file bilinearform.hpp.

◆ SpMatElim() [2/2]

const SparseMatrix & mfem::MixedBilinearForm::SpMatElim ( ) const

inline

Returns a const reference to the sparse matrix of eliminated b.c.: \( M_e \).

Definition at line 890 of file bilinearform.hpp.

◆ TestFESpace() [1/2]

FiniteElementSpace * mfem::MixedBilinearForm::TestFESpace ( )

inline

Return the test FE space associated with the BilinearForm.

Definition at line 1205 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 1208 of file bilinearform.hpp.

◆ TrialFESpace() [1/2]

FiniteElementSpace * mfem::MixedBilinearForm::TrialFESpace ( )

inline

Return the trial FE space associated with the BilinearForm.

Definition at line 1199 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 1202 of file bilinearform.hpp.

◆ Update()

void mfem::MixedBilinearForm::Update ( )

Must be called after making changes to trial_fes or test_fes.

Definition at line 2342 of file bilinearform.cpp.

Member Data Documentation

◆ assembly

AssemblyLevel mfem::MixedBilinearForm::assembly

protected

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

Definition at line 765 of file bilinearform.hpp.

◆ boundary_face_integs

Array<BilinearFormIntegrator*> mfem::MixedBilinearForm::boundary_face_integs

protected

Boundary face integrators.

Definition at line 792 of file bilinearform.hpp.

◆ boundary_face_integs_marker

Array<Array<int>*> mfem::MixedBilinearForm::boundary_face_integs_marker

protected

Entries are not owned.

Definition at line 794 of file bilinearform.hpp.

◆ boundary_integs

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

protected

Boundary integrators.

Definition at line 784 of file bilinearform.hpp.

◆ boundary_integs_marker

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

protected

Entries are not owned.

Definition at line 786 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 800 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 802 of file bilinearform.hpp.

◆ domain_integs

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

protected

Domain integrators.

Definition at line 779 of file bilinearform.hpp.

◆ domain_integs_marker

Array<Array<int>*> mfem::MixedBilinearForm::domain_integs_marker

protected

Entries are not owned.

Definition at line 781 of file bilinearform.hpp.

◆ elemmat

DenseMatrix mfem::MixedBilinearForm::elemmat

mutableprotected

Definition at line 804 of file bilinearform.hpp.

◆ ext

std::unique_ptr<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 769 of file bilinearform.hpp.

◆ extern_bfs

int mfem::MixedBilinearForm::extern_bfs

protected

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

Definition at line 776 of file bilinearform.hpp.

◆ interior_face_integs

Array<BilinearFormIntegrator*> mfem::MixedBilinearForm::interior_face_integs

protected

Interior face integrators.

Definition at line 789 of file bilinearform.hpp.

◆ mat

SparseMatrix* mfem::MixedBilinearForm::mat

protected

Owned.

Definition at line 758 of file bilinearform.hpp.

◆ mat_e

SparseMatrix* mfem::MixedBilinearForm::mat_e

protected

Owned.

Definition at line 759 of file bilinearform.hpp.

◆ test_fes

FiniteElementSpace * mfem::MixedBilinearForm::test_fes

protected

Not owned.

Definition at line 762 of file bilinearform.hpp.

◆ test_vdofs

Array<int> mfem::MixedBilinearForm::test_vdofs

protected

Definition at line 805 of file bilinearform.hpp.

◆ trace_face_integs

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

protected

Trace face (skeleton) integrators.

Definition at line 797 of file bilinearform.hpp.

◆ trial_fes

FiniteElementSpace* mfem::MixedBilinearForm::trial_fes

protected

Not owned.

Definition at line 761 of file bilinearform.hpp.

◆ trial_vdofs

Array<int> mfem::MixedBilinearForm::trial_vdofs

mutableprotected

Definition at line 805 of file bilinearform.hpp.

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

fem/bilinearform.hpp
fem/bilinearform.cpp

Public Member Functions

Protected Attributes

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ MixedBilinearForm() [1/2]

◆ MixedBilinearForm() [2/2]

◆ ~MixedBilinearForm()

Member Function Documentation

◆ AddBdrFaceIntegrator() [1/2]

◆ AddBdrFaceIntegrator() [2/2]

◆ AddBdrTraceFaceIntegrator() [1/2]

◆ AddBdrTraceFaceIntegrator() [2/2]

◆ AddBoundaryIntegrator() [1/2]

◆ AddBoundaryIntegrator() [2/2]

◆ AddDomainIntegrator() [1/2]

◆ AddDomainIntegrator() [2/2]

◆ AddInteriorFaceIntegrator()

◆ AddMult()

◆ AddMultTranspose()

◆ AddTraceFaceIntegrator()

◆ Assemble()

◆ AssembleBdrElementMatrix() [1/2]

◆ AssembleBdrElementMatrix() [2/2]

◆ AssembleDiagonal_ADAt()

◆ AssembleElementMatrix() [1/2]

◆ AssembleElementMatrix() [2/2]

◆ ComputeBdrElementMatrix()

◆ ComputeBdrFaceMatrix()

◆ ComputeBdrTraceFaceMatrix()

◆ ComputeElementMatrix()

◆ ComputeFaceMatrix()

◆ ComputeTraceFaceMatrix()

◆ ConformingAssemble()

◆ Elem() [1/2]

◆ Elem() [2/2]

◆ EliminateEssentialBCFromTrialDofs()

◆ EliminateTestDofs()

◆ EliminateTestEssentialBC()

◆ EliminateTestVDofs()

◆ EliminateTrialDofs()

◆ EliminateTrialEssentialBC() [1/2]

◆ EliminateTrialEssentialBC() [2/2]

◆ EliminateTrialVDofs() [1/2]

◆ EliminateTrialVDofs() [2/2]

◆ EliminateTrialVDofsInRHS()

◆ Finalize()

◆ FormRectangularLinearSystem() [1/2]

◆ FormRectangularLinearSystem() [2/2]

◆ FormRectangularSystemMatrix() [1/2]

◆ FormRectangularSystemMatrix() [2/2]

◆ GetBBFI()

◆ GetBBFI_Marker()

◆ GetBFBFI()

◆ GetBFBFI_Marker()

◆ GetBlocks()

◆ GetBTFBFI()

◆ GetBTFBFI_Marker()

◆ GetDBFI()

◆ GetDBFI_Marker()

◆ GetFBFI()

◆ GetOutputProlongation()

◆ GetOutputRestriction()

◆ GetProlongation()

◆ GetRestriction()

◆ GetTFBFI()

◆ Inverse()

◆ LoseMat()

◆ Mult()

◆ MultTranspose()

◆ operator=()

◆ Print()

◆ SetAssemblyLevel()

◆ SpMat() [1/2]

◆ SpMat() [2/2]

◆ SpMatElim() [1/2]

◆ SpMatElim() [2/2]

◆ TestFESpace() [1/2]

◆ TestFESpace() [2/2]

◆ TrialFESpace() [1/2]