#include <bilininteg.hpp>

Inheritance diagram for mfem::VectorDiffusionIntegrator:

Collaboration diagram for mfem::VectorDiffusionIntegrator:

Public Member Functions
	VectorDiffusionIntegrator ()

	VectorDiffusionIntegrator (int vector_dimension)
	Integrator with unit coefficient for caller-specified vector dimension.

	VectorDiffusionIntegrator (Coefficient &q)

	VectorDiffusionIntegrator (Coefficient &q, const IntegrationRule *ir)

	VectorDiffusionIntegrator (Coefficient &q, int vector_dimension)
	Integrator with scalar coefficient for caller-specified vector dimension.

	VectorDiffusionIntegrator (VectorCoefficient &vq)
	Integrator with `VectorCoefficient`. The vector dimension of the `FiniteElementSpace` is assumed to be the same as the dimension of the `Vector`.

	VectorDiffusionIntegrator (MatrixCoefficient &mq)
	Integrator with `MatrixCoefficient`. The vector dimension of the `FiniteElementSpace` is assumed to be the same as the dimension of the `Matrix`.

virtual void	AssembleElementMatrix (const FiniteElement &el, ElementTransformation &Trans, DenseMatrix &elmat)
	Given a particular Finite Element computes the element matrix elmat.

virtual void	AssembleElementVector (const FiniteElement &el, ElementTransformation &Tr, const Vector &elfun, Vector &elvect)
	Perform the local action of the BilinearFormIntegrator. Note that the default implementation in the base class is general but not efficient.

virtual void	AssemblePA (const FiniteElementSpace &fes)
	Method defining partial assembly.

virtual void	AssembleMF (const FiniteElementSpace &fes)
	Method defining matrix-free assembly.

virtual void	AssembleDiagonalPA (Vector &diag)
	Assemble diagonal and add it to Vector diag.

virtual void	AssembleDiagonalMF (Vector &diag)
	Assemble diagonal and add it to Vector diag.

virtual void	AddMultPA (const Vector &x, Vector &y) const
	Method for partially assembled action.

virtual void	AddMultMF (const Vector &x, Vector &y) const

bool	SupportsCeed () const
	Indicates whether this integrator can use a Ceed backend.

virtual void	AssemblePA (const FiniteElementSpace &trial_fes, const FiniteElementSpace &test_fes)

Public Member Functions inherited from mfem::BilinearFormIntegrator
virtual void	AssembleNURBSPA (const FiniteElementSpace &fes)
	Method defining partial assembly on NURBS patches.

virtual void	AssemblePABoundary (const FiniteElementSpace &fes)

virtual void	AssemblePAInteriorFaces (const FiniteElementSpace &fes)

virtual void	AssemblePABoundaryFaces (const FiniteElementSpace &fes)

virtual void	AssembleDiagonalPA_ADAt (const Vector &D, Vector &diag)
	Assemble diagonal of \(A D A^T\) ( \(A\) is this integrator) and add it to diag.

virtual void	AddMultNURBSPA (const Vector &x, Vector &y) const
	Method for partially assembled action on NURBS patches.

virtual void	AddMultTransposePA (const Vector &x, Vector &y) const
	Method for partially assembled transposed action.

virtual void	AssembleEA (const FiniteElementSpace &fes, Vector &emat, const bool add=true)
	Method defining element assembly.

virtual void	AddMultTransposeMF (const Vector &x, Vector &y) const

virtual void	AssembleEAInteriorFaces (const FiniteElementSpace &fes, Vector &ea_data_int, Vector &ea_data_ext, const bool add=true)

virtual void	AssembleEABoundaryFaces (const FiniteElementSpace &fes, Vector &ea_data_bdr, const bool add=true)

virtual void	AssembleElementMatrix2 (const FiniteElement &trial_fe, const FiniteElement &test_fe, ElementTransformation &Trans, DenseMatrix &elmat)

virtual void	AssemblePatchMatrix (const int patch, const FiniteElementSpace &fes, SparseMatrix *&smat)

virtual void	AssembleFaceMatrix (const FiniteElement &el1, const FiniteElement &el2, FaceElementTransformations &Trans, DenseMatrix &elmat)

virtual void	AssembleFaceMatrix (const FiniteElement &trial_face_fe, const FiniteElement &test_fe1, const FiniteElement &test_fe2, FaceElementTransformations &Trans, DenseMatrix &elmat)

virtual void	AssembleTraceFaceMatrix (int elem, const FiniteElement &trial_face_fe, const FiniteElement &test_fe, FaceElementTransformations &Trans, DenseMatrix &elmat)

virtual void	AssembleFaceVector (const FiniteElement &el1, const FiniteElement &el2, FaceElementTransformations &Tr, const Vector &elfun, Vector &elvect)
	Perform the local action of the BilinearFormIntegrator resulting from a face integral term. Note that the default implementation in the base class is general but not efficient.

virtual void	AssembleElementGrad (const FiniteElement &el, ElementTransformation &Tr, const Vector &elfun, DenseMatrix &elmat)
	Assemble the local gradient matrix.

virtual void	AssembleFaceGrad (const FiniteElement &el1, const FiniteElement &el2, FaceElementTransformations &Tr, const Vector &elfun, DenseMatrix &elmat)
	Assemble the local action of the gradient of the NonlinearFormIntegrator resulting from a face integral term.

virtual void	ComputeElementFlux (const FiniteElement &el, ElementTransformation &Trans, Vector &u, const FiniteElement &fluxelem, Vector &flux, bool with_coef=true, const IntegrationRule *ir=NULL)
	Virtual method required for Zienkiewicz-Zhu type error estimators.

virtual real_t	ComputeFluxEnergy (const FiniteElement &fluxelem, ElementTransformation &Trans, Vector &flux, Vector *d_energy=NULL)
	Virtual method required for Zienkiewicz-Zhu type error estimators.

virtual bool	RequiresFaceNormalDerivatives () const
	For bilinear forms on element faces, specifies if the normal derivatives are needed on the faces or just the face restriction.

virtual void	AddMultPAFaceNormalDerivatives (const Vector &x, const Vector &dxdn, Vector &y, Vector &dydn) const
	Method for partially assembled action.

virtual	~BilinearFormIntegrator ()

Public Member Functions inherited from mfem::NonlinearFormIntegrator
virtual void	SetIntRule (const IntegrationRule *ir)
	Prescribe a fixed IntegrationRule to use (when ir != NULL) or let the integrator choose (when ir == NULL).

void	SetIntegrationMode (Mode m)

void	SetNURBSPatchIntRule (NURBSMeshRules *pr)
	For patchwise integration, SetNURBSPatchIntRule must be called.

bool	HasNURBSPatchIntRule () const

bool	Patchwise () const

void	SetIntegrationRule (const IntegrationRule &ir)
	Prescribe a fixed IntegrationRule to use.

void	SetPAMemoryType (MemoryType mt)

const IntegrationRule *	GetIntegrationRule () const
	Get the integration rule of the integrator (possibly NULL).

virtual real_t	GetElementEnergy (const FiniteElement &el, ElementTransformation &Tr, const Vector &elfun)
	Compute the local energy.

virtual void	AssembleGradPA (const Vector &x, const FiniteElementSpace &fes)
	Prepare the integrator for partial assembly (PA) gradient evaluations on the given FE space fes at the state x.

virtual real_t	GetLocalStateEnergyPA (const Vector &x) const
	Compute the local (to the MPI rank) energy with partial assembly.

virtual void	AddMultGradPA (const Vector &x, Vector &y) const
	Method for partially assembled gradient action.

virtual void	AssembleGradDiagonalPA (Vector &diag) const
	Method for computing the diagonal of the gradient with partial assembly.

ceed::Operator &	GetCeedOp ()

virtual	~NonlinearFormIntegrator ()

Protected Attributes
Coefficient *	Q = NULL

VectorCoefficient *	VQ = NULL

MatrixCoefficient *	MQ = NULL

const DofToQuad *	maps
	Not owned.

const GeometricFactors *	geom
	Not owned.

int	dim

int	sdim

int	ne

int	dofs1D

int	quad1D

Vector	pa_data

Protected Attributes inherited from mfem::NonlinearFormIntegrator
const IntegrationRule *	IntRule

Mode	integrationMode = Mode::ELEMENTWISE

NURBSMeshRules *	patchRules = nullptr

ceed::Operator *	ceedOp

MemoryType	pa_mt = MemoryType::DEFAULT

Additional Inherited Members
Public Types inherited from mfem::NonlinearFormIntegrator
enum	Mode { ELEMENTWISE = 0 , PATCHWISE = 1 , PATCHWISE_REDUCED = 2 }

Protected Member Functions inherited from mfem::BilinearFormIntegrator
	BilinearFormIntegrator (const IntegrationRule *ir=NULL)

Protected Member Functions inherited from mfem::NonlinearFormIntegrator
	NonlinearFormIntegrator (const IntegrationRule *ir=NULL)

Detailed Description

Integrator for

\[ (Q \nabla u, \nabla v) = \sum_i (Q \nabla u_i, \nabla v_i) e_i e_i^{\mathrm{T}} \]

for vector FE spaces, where \(e_i\) is the unit vector in the \(i\)-th direction. The resulting local element matrix is square, of size vdim*dof , where vdim is the vector dimension space and dof is the local degrees of freedom. The integrator is not aware of the true vector dimension and must use VectorCoefficient, MatrixCoefficient, or a caller-specified value to determine the vector space. For a scalar coefficient, the caller may manually specify the vector dimension or the vector dimension is assumed to be the spatial dimension (i.e. 2-dimension or 3-dimension).

Definition at line 2922 of file bilininteg.hpp.

Constructor & Destructor Documentation

◆ VectorDiffusionIntegrator() [1/7]

mfem::VectorDiffusionIntegrator::VectorDiffusionIntegrator ( )

inline

Definition at line 2942 of file bilininteg.hpp.

◆ VectorDiffusionIntegrator() [2/7]

mfem::VectorDiffusionIntegrator::VectorDiffusionIntegrator ( int vector_dimension )

inline

Integrator with unit coefficient for caller-specified vector dimension.

If the vector dimension does not match the true dimension of the space, the resulting element matrix will be mathematically invalid.

Definition at line 2949 of file bilininteg.hpp.

◆ VectorDiffusionIntegrator() [3/7]

mfem::VectorDiffusionIntegrator::VectorDiffusionIntegrator ( Coefficient & q )

inline

Definition at line 2952 of file bilininteg.hpp.

◆ VectorDiffusionIntegrator() [4/7]

mfem::VectorDiffusionIntegrator::VectorDiffusionIntegrator	(	Coefficient &	q,
		const IntegrationRule *	ir )

inline

Definition at line 2955 of file bilininteg.hpp.

◆ VectorDiffusionIntegrator() [5/7]

mfem::VectorDiffusionIntegrator::VectorDiffusionIntegrator	(	Coefficient &	q,
		int	vector_dimension )

inline

Integrator with scalar coefficient for caller-specified vector dimension.

The element matrix is block-diagonal with vdim copies of the element matrix integrated with the Coefficient.

If the vector dimension does not match the true dimension of the space, the resulting element matrix will be mathematically invalid.

Definition at line 2966 of file bilininteg.hpp.

◆ VectorDiffusionIntegrator() [6/7]

mfem::VectorDiffusionIntegrator::VectorDiffusionIntegrator ( VectorCoefficient & vq )

inline

Integrator with VectorCoefficient. The vector dimension of the FiniteElementSpace is assumed to be the same as the dimension of the Vector.

The element matrix is block-diagonal and each block is integrated with coefficient \(q_{i}\).

If the vector dimension does not match the true dimension of the space, the resulting element matrix will be mathematically invalid.

Definition at line 2978 of file bilininteg.hpp.

◆ VectorDiffusionIntegrator() [7/7]

mfem::VectorDiffusionIntegrator::VectorDiffusionIntegrator ( MatrixCoefficient & mq )

inline

Integrator with MatrixCoefficient. The vector dimension of the FiniteElementSpace is assumed to be the same as the dimension of the Matrix.

The element matrix is populated in each block. Each block is integrated with coefficient \(q_{ij}\).

If the vector dimension does not match the true dimension of the space, the resulting element matrix will be mathematically invalid.

Definition at line 2990 of file bilininteg.hpp.

Member Function Documentation

◆ AddMultMF()

virtual void mfem::VectorDiffusionIntegrator::AddMultMF	(	const Vector &	x,
		Vector &	y ) const

virtual

Perform the action of integrator on the input x and add the result to the output y. Both x and y are E-vectors, i.e. they represent the element-wise discontinuous version of the FE space.

This method can be called only after the method AssembleMF() has been called.

Reimplemented from mfem::BilinearFormIntegrator.

◆ AddMultPA()

virtual void mfem::VectorDiffusionIntegrator::AddMultPA	(	const Vector &	x,
		Vector &	y ) const

virtual

Method for partially assembled action.

Perform the action of integrator on the input x and add the result to the output y. Both x and y are E-vectors, i.e. they represent the element-wise discontinuous version of the FE space.

This method can be called only after the method AssemblePA() has been called.

Reimplemented from mfem::BilinearFormIntegrator.

◆ AssembleDiagonalMF()

virtual void mfem::VectorDiffusionIntegrator::AssembleDiagonalMF ( Vector & diag )

virtual

Assemble diagonal and add it to Vector diag.

Reimplemented from mfem::BilinearFormIntegrator.

◆ AssembleDiagonalPA()

virtual void mfem::VectorDiffusionIntegrator::AssembleDiagonalPA ( Vector & diag )

virtual

Assemble diagonal and add it to Vector diag.

Reimplemented from mfem::BilinearFormIntegrator.

◆ AssembleElementMatrix()

void mfem::VectorDiffusionIntegrator::AssembleElementMatrix	(	const FiniteElement &	el,
		ElementTransformation &	Trans,
		DenseMatrix &	elmat )

virtual

Given a particular Finite Element computes the element matrix elmat.

Reimplemented from mfem::BilinearFormIntegrator.

Definition at line 2854 of file bilininteg.cpp.

◆ AssembleElementVector()

void mfem::VectorDiffusionIntegrator::AssembleElementVector	(	const FiniteElement &	el,
		ElementTransformation &	Tr,
		const Vector &	elfun,
		Vector &	elvect )

virtual

Perform the local action of the BilinearFormIntegrator. Note that the default implementation in the base class is general but not efficient.

Reimplemented from mfem::BilinearFormIntegrator.

Definition at line 2936 of file bilininteg.cpp.

◆ AssembleMF()

virtual void mfem::VectorDiffusionIntegrator::AssembleMF ( const FiniteElementSpace & fes )

virtual

Method defining matrix-free assembly.

Used with BilinearFormIntegrators that have different spaces. The result of fully matrix-free assembly is stored internally so that it can be used later in the methods AddMultMF() and AddMultTransposeMF().

Reimplemented from mfem::BilinearFormIntegrator.

◆ AssemblePA() [1/2]

virtual void mfem::VectorDiffusionIntegrator::AssemblePA ( const FiniteElementSpace & fes )

virtual

Method defining partial assembly.

The result of the partial assembly is stored internally so that it can be used later in the methods AddMultPA() and AddMultTransposePA().

Reimplemented from mfem::BilinearFormIntegrator.

◆ AssemblePA() [2/2]

void mfem::BilinearFormIntegrator::AssemblePA	(	const FiniteElementSpace &	trial_fes,
		const FiniteElementSpace &	test_fes )

virtual

Used with BilinearFormIntegrators that have different spaces.

Reimplemented from mfem::BilinearFormIntegrator.

Definition at line 50 of file bilininteg.cpp.

◆ SupportsCeed()

bool mfem::VectorDiffusionIntegrator::SupportsCeed ( ) const

inlinevirtual

Indicates whether this integrator can use a Ceed backend.

Reimplemented from mfem::NonlinearFormIntegrator.

Definition at line 3006 of file bilininteg.hpp.

Member Data Documentation

◆ dim

int mfem::VectorDiffusionIntegrator::dim

protected

Definition at line 2932 of file bilininteg.hpp.

◆ dofs1D

int mfem::VectorDiffusionIntegrator::dofs1D

protected

Definition at line 2932 of file bilininteg.hpp.

◆ geom

const GeometricFactors* mfem::VectorDiffusionIntegrator::geom

protected

Not owned.

Definition at line 2931 of file bilininteg.hpp.

◆ maps

const DofToQuad* mfem::VectorDiffusionIntegrator::maps

protected

Not owned.

Definition at line 2930 of file bilininteg.hpp.

◆ MQ

MatrixCoefficient* mfem::VectorDiffusionIntegrator::MQ = NULL

protected

Definition at line 2927 of file bilininteg.hpp.

◆ ne

int mfem::VectorDiffusionIntegrator::ne

protected

Definition at line 2932 of file bilininteg.hpp.

◆ pa_data

Vector mfem::VectorDiffusionIntegrator::pa_data

protected

Definition at line 2933 of file bilininteg.hpp.

◆ Q

Coefficient* mfem::VectorDiffusionIntegrator::Q = NULL

protected

Definition at line 2925 of file bilininteg.hpp.

◆ quad1D

int mfem::VectorDiffusionIntegrator::quad1D

protected

Definition at line 2932 of file bilininteg.hpp.

◆ sdim

int mfem::VectorDiffusionIntegrator::sdim

protected

Definition at line 2932 of file bilininteg.hpp.

◆ VQ

VectorCoefficient* mfem::VectorDiffusionIntegrator::VQ = NULL

protected

Definition at line 2926 of file bilininteg.hpp.

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

fem/bilininteg.hpp
fem/bilininteg.cpp

Public Member Functions

Protected Attributes

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ VectorDiffusionIntegrator() [1/7]

◆ VectorDiffusionIntegrator() [2/7]

◆ VectorDiffusionIntegrator() [3/7]

◆ VectorDiffusionIntegrator() [4/7]

◆ VectorDiffusionIntegrator() [5/7]

◆ VectorDiffusionIntegrator() [6/7]

◆ VectorDiffusionIntegrator() [7/7]

Member Function Documentation

◆ AddMultMF()

◆ AddMultPA()

◆ AssembleDiagonalMF()

◆ AssembleDiagonalPA()

◆ AssembleElementMatrix()

◆ AssembleElementVector()

◆ AssembleMF()

◆ AssemblePA() [1/2]

◆ AssemblePA() [2/2]

◆ SupportsCeed()

Member Data Documentation

◆ dim

◆ dofs1D

◆ geom

◆ maps

◆ MQ

◆ ne

◆ pa_data

◆ Q

◆ quad1D

◆ sdim

◆ VQ