Abstract base class BilinearFormIntegrator. More...

#include <bilininteg.hpp>

Inheritance diagram for mfem::BilinearFormIntegrator:

Collaboration diagram for mfem::BilinearFormIntegrator:

Public Member Functions
void	AssemblePA (const FiniteElementSpace &fes) override
	Method defining partial assembly.

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

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

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.

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

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.

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

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

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

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

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

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

virtual void	AssembleEAInteriorFaces (const FiniteElementSpace &trial_fes, const FiniteElementSpace &test_fes, Vector &emat, const bool add=true)
	Method defining element assembly for mixed trace integrators.

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

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

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_fe1, const FiniteElement &test_fe1, const FiniteElement &trial_fe2, const FiniteElement &test_fe2, 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)

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

void	AssembleFaceVector (const FiniteElement &el1, const FiniteElement &el2, FaceElementTransformations &Tr, const Vector &elfun, Vector &elvect) override
	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.

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

void	AssembleFaceGrad (const FiniteElement &el1, const FiniteElement &el2, FaceElementTransformations &Tr, const Vector &elfun, DenseMatrix &elmat) override
	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
void	SetIntegrationMode (Mode m)

bool	Patchwise () const

void	SetPAMemoryType (MemoryType mt)

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.

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

ceed::Operator &	GetCeedOp ()

virtual	~NonlinearFormIntegrator ()

Public Member Functions inherited from mfem::Integrator
	Integrator (const IntegrationRule *ir=NULL)
	Create a new Integrator, optionally providing a prescribed quadrature rule to use in assembly.

virtual void	SetIntRule (const IntegrationRule *ir)
	Prescribe a fixed IntegrationRule to use, or set to null to let the integrator choose an appropriate rule.

void	SetIntegrationRule (const IntegrationRule &ir)
	Prescribe a fixed IntegrationRule to use. Sets the NURBS patch integration rule to null.

void	SetNURBSPatchIntRule (NURBSMeshRules *pr)
	Sets an integration rule for use on NURBS patches.

bool	HasNURBSPatchIntRule () const
	Check if a NURBS patch integration rule has been set.

const IntegrationRule *	GetIntRule () const
	Directly return the IntRule pointer (possibly null) without checking for NURBS patch rules or falling back on a default.

const IntegrationRule *	GetIntegrationRule () const
	Equivalent to GetIntRule, but retained for backward compatibility with applications.

Protected Member Functions
	BilinearFormIntegrator (const IntegrationRule *ir=NULL)

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

Protected Member Functions inherited from mfem::Integrator
const IntegrationRule *	GetIntegrationRule (const FiniteElement &trial_fe, const FiniteElement &test_fe, const ElementTransformation &trans) const
	Returns an integration rule based on the arguments and internal state of the Integrator object.

const IntegrationRule *	GetIntegrationRule (const FiniteElement &el, const ElementTransformation &trans) const
	Returns an integration rule based on the arguments and internal state. (Version for identical trial_fe and test_fe)

virtual const IntegrationRule *	GetDefaultIntegrationRule (const FiniteElement &trial_fe, const FiniteElement &test_fe, const ElementTransformation &trans) const
	Subclasses should override to choose a default integration rule.

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

Protected Attributes inherited from mfem::NonlinearFormIntegrator
Mode	integrationMode = Mode::ELEMENTWISE

ceed::Operator *	ceedOp

MemoryType	pa_mt = MemoryType::DEFAULT

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

NURBSMeshRules *	patchRules = nullptr

Detailed Description

Abstract base class BilinearFormIntegrator.

Definition at line 28 of file bilininteg.hpp.

Constructor & Destructor Documentation

◆ BilinearFormIntegrator()

mfem::BilinearFormIntegrator::BilinearFormIntegrator ( const IntegrationRule * ir = NULL )

inlineprotected

Definition at line 31 of file bilininteg.hpp.

◆ ~BilinearFormIntegrator()

virtual mfem::BilinearFormIntegrator::~BilinearFormIntegrator ( )

inlinevirtual

Definition at line 325 of file bilininteg.hpp.

Member Function Documentation

◆ AddMultMF()

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

overridevirtual

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::NonlinearFormIntegrator.

Reimplemented in mfem::ConvectionIntegrator, mfem::DiffusionIntegrator, mfem::MassIntegrator, mfem::SumIntegrator, mfem::VectorDiffusionIntegrator, and mfem::VectorMassIntegrator.

Definition at line 142 of file bilininteg.cpp.

◆ AddMultNURBSPA()

void mfem::BilinearFormIntegrator::AddMultNURBSPA	(	const Vector &	x,
		Vector &	y ) const

virtual

Method for partially assembled action on NURBS patches.

Reimplemented in mfem::DiffusionIntegrator.

Definition at line 124 of file bilininteg.cpp.

◆ AddMultPA()

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

overridevirtual

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::NonlinearFormIntegrator.

Reimplemented in mfem::ConvectionIntegrator, mfem::CurlCurlIntegrator, mfem::DGTraceIntegrator, mfem::DiffusionIntegrator, mfem::DivDivIntegrator, mfem::ElasticityComponentIntegrator, mfem::ElasticityIntegrator, mfem::GradientIntegrator, mfem::GradientInterpolator, mfem::IdentityInterpolator, mfem::MassIntegrator, mfem::MixedScalarCurlIntegrator, mfem::MixedVectorCurlIntegrator, mfem::MixedVectorGradientIntegrator, mfem::MixedVectorWeakCurlIntegrator, mfem::SumIntegrator, mfem::TransposeIntegrator, mfem::VectorDiffusionIntegrator, mfem::VectorDivergenceIntegrator, mfem::VectorFEDivergenceIntegrator, mfem::VectorFEMassIntegrator, and mfem::VectorMassIntegrator.

Definition at line 118 of file bilininteg.cpp.

◆ AddMultPAFaceNormalDerivatives()

void mfem::BilinearFormIntegrator::AddMultPAFaceNormalDerivatives	(	const Vector &	x,
		const Vector &	dxdn,
		Vector &	y,
		Vector &	dydn ) const

virtual

Method for partially assembled action.

For bilinear forms on element faces that depend on the normal derivative on the faces, computes the action of integrator to the face values x and reference-normal derivatives dxdn and adds the result to y and dydn.

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

Parameters

[in]	x	E-vector of face values (provided by FaceRestriction::Mult)
[in]	dxdn	E-vector of face reference-normal derivatives (provided by FaceRestriction::NormalDerivativeMult)
[in,out]	y	E-vector of face values to add action to.
[in,out]	dydn	E-vector of face reference-normal derivative values to add action to.

Reimplemented in mfem::DGDiffusionIntegrator.

Definition at line 220 of file bilininteg.cpp.

◆ AddMultTransposeMF()

void mfem::BilinearFormIntegrator::AddMultTransposeMF	(	const Vector &	x,
		Vector &	y ) const

virtual

Perform the transpose 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 in mfem::SumIntegrator.

Definition at line 148 of file bilininteg.cpp.

◆ AddMultTransposePA()

void mfem::BilinearFormIntegrator::AddMultTransposePA	(	const Vector &	x,
		Vector &	y ) const

virtual

Method for partially assembled transposed action.

Perform the transpose 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 in mfem::ConvectionIntegrator, mfem::DGTraceIntegrator, mfem::DiffusionIntegrator, mfem::ElasticityComponentIntegrator, mfem::ElasticityIntegrator, mfem::GradientIntegrator, mfem::GradientInterpolator, mfem::IdentityInterpolator, mfem::MassIntegrator, mfem::MixedScalarCurlIntegrator, mfem::MixedVectorCurlIntegrator, mfem::MixedVectorGradientIntegrator, mfem::MixedVectorWeakCurlIntegrator, mfem::SumIntegrator, mfem::TransposeIntegrator, mfem::VectorDivergenceIntegrator, mfem::VectorFEDivergenceIntegrator, and mfem::VectorFEMassIntegrator.

Definition at line 130 of file bilininteg.cpp.

◆ AssembleDiagonalMF()

void mfem::BilinearFormIntegrator::AssembleDiagonalMF ( Vector & diag )

virtual

Assemble diagonal and add it to Vector diag.

Reimplemented in mfem::ConvectionIntegrator, mfem::DiffusionIntegrator, mfem::MassIntegrator, mfem::SumIntegrator, mfem::VectorDiffusionIntegrator, and mfem::VectorMassIntegrator.

Definition at line 154 of file bilininteg.cpp.

◆ AssembleDiagonalPA()

void mfem::BilinearFormIntegrator::AssembleDiagonalPA ( Vector & diag )

virtual

Assemble diagonal and add it to Vector diag.

Reimplemented in mfem::ConvectionIntegrator, mfem::CurlCurlIntegrator, mfem::DiffusionIntegrator, mfem::DivDivIntegrator, mfem::ElasticityIntegrator, mfem::MassIntegrator, mfem::SumIntegrator, mfem::VectorDiffusionIntegrator, mfem::VectorFEMassIntegrator, and mfem::VectorMassIntegrator.

Definition at line 61 of file bilininteg.cpp.

◆ AssembleDiagonalPA_ADAt()

void mfem::BilinearFormIntegrator::AssembleDiagonalPA_ADAt	(	const Vector &	D,
		Vector &	diag )

virtual

Assemble diagonal of \(A D A^T\) ( \(A\) is this integrator) and add it to diag.

Reimplemented in mfem::VectorFEDivergenceIntegrator.

Definition at line 112 of file bilininteg.cpp.

◆ AssembleEA()

void mfem::BilinearFormIntegrator::AssembleEA	(	const FiniteElementSpace &	fes,
		Vector &	emat,
		const bool	add = true )

virtual

Method defining element assembly.

The result of the element assembly is added to the emat Vector if add is true. Otherwise, if add is false, we set emat.

Reimplemented in mfem::ConvectionIntegrator, mfem::DiffusionIntegrator, mfem::DivDivIntegrator, mfem::ElasticityComponentIntegrator, mfem::MassIntegrator, mfem::SumIntegrator, mfem::TransposeIntegrator, and mfem::VectorFEMassIntegrator.

Definition at line 67 of file bilininteg.cpp.

◆ AssembleEABoundary()

void mfem::BilinearFormIntegrator::AssembleEABoundary	(	const FiniteElementSpace &	fes,
		Vector &	ea_data_bdr,
		const bool	add = true )

virtual

Reimplemented in mfem::MassIntegrator.

Definition at line 75 of file bilininteg.cpp.

◆ AssembleEABoundaryFaces()

void mfem::BilinearFormIntegrator::AssembleEABoundaryFaces	(	const FiniteElementSpace &	fes,
		Vector &	ea_data_bdr,
		const bool	add = true )

virtual

Reimplemented in mfem::DGTraceIntegrator, mfem::SumIntegrator, and mfem::TransposeIntegrator.

Definition at line 103 of file bilininteg.cpp.

◆ AssembleEAInteriorFaces() [1/2]

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

virtual

Reimplemented in mfem::DGTraceIntegrator, mfem::NormalTraceJumpIntegrator, mfem::SumIntegrator, and mfem::TransposeIntegrator.

Definition at line 83 of file bilininteg.cpp.

◆ AssembleEAInteriorFaces() [2/2]

void mfem::BilinearFormIntegrator::AssembleEAInteriorFaces	(	const FiniteElementSpace &	trial_fes,
		const FiniteElementSpace &	test_fes,
		Vector &	emat,
		const bool	add = true )

virtual

Method defining element assembly for mixed trace integrators.

This is the element assembly analogue of AssembleFaceMatrix(const FiniteElement&, const FiniteElement&, const FiniteElement&, FaceElementTransformations&, DenseMatrix&).

Reimplemented in mfem::DGTraceIntegrator, mfem::NormalTraceJumpIntegrator, mfem::SumIntegrator, and mfem::TransposeIntegrator.

Definition at line 93 of file bilininteg.cpp.

◆ AssembleElementGrad()

void mfem::BilinearFormIntegrator::AssembleElementGrad	(	const FiniteElement &	el,
		ElementTransformation &	Tr,
		const Vector &	elfun,
		DenseMatrix &	elmat )

inlineoverridevirtual

Assemble the local gradient matrix.

Reimplemented from mfem::NonlinearFormIntegrator.

Definition at line 216 of file bilininteg.hpp.

◆ AssembleElementMatrix()

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

virtual

◆ AssembleElementMatrix2()

void mfem::BilinearFormIntegrator::AssembleElementMatrix2	(	const FiniteElement &	trial_fe,
		const FiniteElement &	test_fe,
		ElementTransformation &	Trans,
		DenseMatrix &	elmat )

virtual

Compute the local matrix representation of a bilinear form \(a(u,v)\) defined on different trial (given by \(u\)) and test (given by \(v\)) spaces. The rows in the local matrix correspond to the test dofs and the columns – to the trial dofs.

Reimplemented in mfem::CurlCurlIntegrator, mfem::CurlInterpolator, mfem::DerivativeIntegrator, mfem::DiffusionIntegrator, mfem::DivDivIntegrator, mfem::DivergenceInterpolator, mfem::GradientIntegrator, mfem::GradientInterpolator, mfem::IdentityInterpolator, mfem::MassIntegrator, mfem::MixedCurlIntegrator, mfem::MixedScalarIntegrator, mfem::MixedScalarVectorIntegrator, mfem::MixedVectorIntegrator, mfem::NormalInterpolator, mfem::ScalarCrossProductInterpolator, mfem::ScalarProductInterpolator, mfem::ScalarVectorProductInterpolator, mfem::SumIntegrator, mfem::TransposeIntegrator, mfem::VectorCrossProductInterpolator, mfem::VectorDivergenceIntegrator, mfem::VectorFEBoundaryFluxIntegrator, mfem::VectorFECurlIntegrator, mfem::VectorFEDivergenceIntegrator, mfem::VectorFEMassIntegrator, mfem::VectorFEWeakDivergenceIntegrator, mfem::VectorInnerProductInterpolator, mfem::VectorMassIntegrator, and mfem::VectorScalarProductInterpolator.

Definition at line 168 of file bilininteg.cpp.

◆ AssembleElementVector()

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

overridevirtual

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

Reimplemented from mfem::NonlinearFormIntegrator.

Reimplemented in mfem::DiffusionIntegrator, and mfem::VectorDiffusionIntegrator.

Definition at line 226 of file bilininteg.cpp.

◆ AssembleFaceGrad()

void mfem::BilinearFormIntegrator::AssembleFaceGrad	(	const FiniteElement &	el1,
		const FiniteElement &	el2,
		FaceElementTransformations &	Tr,
		const Vector &	elfun,
		DenseMatrix &	elmat )

inlineoverridevirtual

Assemble the local action of the gradient of the NonlinearFormIntegrator resulting from a face integral term.

Reimplemented from mfem::NonlinearFormIntegrator.

Definition at line 221 of file bilininteg.hpp.

◆ AssembleFaceMatrix() [1/3]

void mfem::BilinearFormIntegrator::AssembleFaceMatrix	(	const FiniteElement &	el1,
		const FiniteElement &	el2,
		FaceElementTransformations &	Trans,
		DenseMatrix &	elmat )

virtual

Reimplemented in mfem::BoundaryMassIntegrator, mfem::DGDiffusionBR2Integrator, mfem::DGDiffusionIntegrator, mfem::DGElasticityIntegrator, mfem::DGTraceIntegrator, mfem::NormalTraceJumpIntegrator, mfem::SBM2DirichletIntegrator, mfem::SBM2NeumannIntegrator, mfem::SumIntegrator, mfem::TraceJumpIntegrator, and mfem::TransposeIntegrator.

Definition at line 183 of file bilininteg.cpp.

◆ AssembleFaceMatrix() [2/3]

void mfem::BilinearFormIntegrator::AssembleFaceMatrix	(	const FiniteElement &	trial_face_fe,
		const FiniteElement &	test_fe1,
		const FiniteElement &	test_fe2,
		FaceElementTransformations &	Trans,
		DenseMatrix &	elmat )

virtual

Abstract method used for assembling TraceFaceIntegrators in a MixedBilinearForm.

Reimplemented in mfem::BoundaryMassIntegrator, mfem::DGDiffusionBR2Integrator, mfem::DGDiffusionIntegrator, mfem::DGElasticityIntegrator, mfem::DGTraceIntegrator, mfem::NormalTraceJumpIntegrator, mfem::SBM2DirichletIntegrator, mfem::SBM2NeumannIntegrator, mfem::SumIntegrator, mfem::TraceJumpIntegrator, and mfem::TransposeIntegrator.

Definition at line 201 of file bilininteg.cpp.

◆ AssembleFaceMatrix() [3/3]

void mfem::BilinearFormIntegrator::AssembleFaceMatrix	(	const FiniteElement &	trial_fe1,
		const FiniteElement &	test_fe1,
		const FiniteElement &	trial_fe2,
		const FiniteElement &	test_fe2,
		FaceElementTransformations &	Trans,
		DenseMatrix &	elmat )

virtual

Reimplemented in mfem::BoundaryMassIntegrator, mfem::DGDiffusionBR2Integrator, mfem::DGDiffusionIntegrator, mfem::DGElasticityIntegrator, mfem::DGTraceIntegrator, mfem::NormalTraceJumpIntegrator, mfem::SBM2DirichletIntegrator, mfem::SBM2NeumannIntegrator, mfem::SumIntegrator, mfem::TraceJumpIntegrator, and mfem::TransposeIntegrator.

Definition at line 191 of file bilininteg.cpp.

◆ AssembleFaceVector()

void mfem::BilinearFormIntegrator::AssembleFaceVector	(	const FiniteElement &	el1,
		const FiniteElement &	el2,
		FaceElementTransformations &	Tr,
		const Vector &	elfun,
		Vector &	elvect )

overridevirtual

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.

Reimplemented from mfem::NonlinearFormIntegrator.

Definition at line 237 of file bilininteg.cpp.

◆ AssembleMF()

void mfem::BilinearFormIntegrator::AssembleMF ( const FiniteElementSpace & fes )

overridevirtual

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::NonlinearFormIntegrator.

Reimplemented in mfem::ConvectionIntegrator, mfem::DiffusionIntegrator, mfem::MassIntegrator, mfem::SumIntegrator, mfem::VectorDiffusionIntegrator, and mfem::VectorMassIntegrator.

Definition at line 136 of file bilininteg.cpp.

◆ AssembleNURBSPA()

void mfem::BilinearFormIntegrator::AssembleNURBSPA ( const FiniteElementSpace & fes )

virtual

Method defining partial assembly on NURBS patches.

The result of the partial assembly is stored internally so that it can be used later in the method AddMultNURBSPA().

Reimplemented in mfem::DiffusionIntegrator.

Definition at line 30 of file bilininteg.cpp.

◆ AssemblePA() [1/2]

void mfem::BilinearFormIntegrator::AssemblePA ( const FiniteElementSpace & fes )

overridevirtual

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::NonlinearFormIntegrator.

Reimplemented in mfem::ConvectionIntegrator, mfem::CurlCurlIntegrator, mfem::DGDiffusionIntegrator, mfem::DiffusionIntegrator, mfem::DivDivIntegrator, mfem::ElasticityComponentIntegrator, mfem::ElasticityIntegrator, mfem::GradientIntegrator, mfem::GradientInterpolator, mfem::IdentityInterpolator, mfem::MassIntegrator, mfem::MixedScalarCurlIntegrator, mfem::MixedVectorCurlIntegrator, mfem::MixedVectorGradientIntegrator, mfem::MixedVectorWeakCurlIntegrator, mfem::SumIntegrator, mfem::TransposeIntegrator, mfem::VectorDiffusionIntegrator, mfem::VectorDivergenceIntegrator, mfem::VectorFEDivergenceIntegrator, mfem::VectorFEMassIntegrator, and mfem::VectorMassIntegrator.

Definition at line 24 of file bilininteg.cpp.

◆ AssemblePA() [2/2]

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

overridevirtual

Used with BilinearFormIntegrators that have different spaces.

Reimplemented from mfem::NonlinearFormIntegrator.

Reimplemented in mfem::ConvectionIntegrator, mfem::CurlCurlIntegrator, mfem::DGDiffusionIntegrator, mfem::DiffusionIntegrator, mfem::DivDivIntegrator, mfem::ElasticityComponentIntegrator, mfem::ElasticityIntegrator, mfem::GradientIntegrator, mfem::GradientInterpolator, mfem::IdentityInterpolator, mfem::MassIntegrator, mfem::MixedScalarCurlIntegrator, mfem::MixedVectorCurlIntegrator, mfem::MixedVectorGradientIntegrator, mfem::MixedVectorWeakCurlIntegrator, mfem::SumIntegrator, mfem::TransposeIntegrator, mfem::VectorDiffusionIntegrator, mfem::VectorDivergenceIntegrator, mfem::VectorFEDivergenceIntegrator, mfem::VectorFEMassIntegrator, and mfem::VectorMassIntegrator.

Definition at line 36 of file bilininteg.cpp.

◆ AssemblePABoundary()

void mfem::BilinearFormIntegrator::AssemblePABoundary ( const FiniteElementSpace & fes )

virtual

Reimplemented in mfem::MassIntegrator.

Definition at line 43 of file bilininteg.cpp.

◆ AssemblePABoundaryFaces()

void mfem::BilinearFormIntegrator::AssemblePABoundaryFaces ( const FiniteElementSpace & fes )

virtual

Reimplemented in mfem::DGDiffusionIntegrator, mfem::DGTraceIntegrator, mfem::SumIntegrator, and mfem::TransposeIntegrator.

Definition at line 55 of file bilininteg.cpp.

◆ AssemblePAInteriorFaces()

void mfem::BilinearFormIntegrator::AssemblePAInteriorFaces ( const FiniteElementSpace & fes )

virtual

Reimplemented in mfem::DGDiffusionIntegrator, mfem::DGTraceIntegrator, mfem::SumIntegrator, and mfem::TransposeIntegrator.

Definition at line 49 of file bilininteg.cpp.

◆ AssemblePatchMatrix()

void mfem::BilinearFormIntegrator::AssemblePatchMatrix	(	const int	patch,
		const FiniteElementSpace &	fes,
		SparseMatrix *&	smat )

virtual

Given a particular NURBS patch, computes the patch matrix as a SparseMatrix smat.

Reimplemented in mfem::DiffusionIntegrator.

Definition at line 176 of file bilininteg.cpp.

◆ AssembleTraceFaceMatrix()

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

virtual

Abstract method used for assembling TraceFaceIntegrators for DPG weak formulations.

Reimplemented in mfem::NormalTraceIntegrator, mfem::TangentTraceIntegrator, and mfem::TraceIntegrator.

Definition at line 210 of file bilininteg.cpp.

◆ ComputeElementFlux()

virtual void mfem::BilinearFormIntegrator::ComputeElementFlux	(	const FiniteElement &	el,
		ElementTransformation &	Trans,
		Vector &	u,
		const FiniteElement &	fluxelem,
		Vector &	flux,
		bool	with_coef = true,
		const IntegrationRule *	ir = NULL )

inlinevirtual

Virtual method required for Zienkiewicz-Zhu type error estimators.

The purpose of the method is to compute a local "flux" finite element function given a local finite element solution. The "flux" function has to be computed in terms of its coefficients (represented by the Vector flux) which multiply the basis functions defined by the FiniteElement fluxelem. Typically, the "flux" function will have more than one component and consequently flux should be store the coefficients of all components: first all coefficient for component 0, then all coefficients for component 1, etc. What the "flux" function represents depends on the specific integrator. For example, in the case of DiffusionIntegrator, the flux is the gradient of the solution multiplied by the diffusion coefficient.

Parameters

[in]	el	FiniteElement of the solution.
[in]	Trans	The ElementTransformation describing the physical position of the mesh element.
[in]	u	Solution coefficients representing the expansion of the solution function in the basis of el.
[in]	fluxelem	FiniteElement of the "flux".
[out]	flux	"Flux" coefficients representing the expansion of the "flux" function in the basis of fluxelem. The size of flux as a Vector has to be set by this method, e.g. using Vector::SetSize().
[in]	with_coef	If zero (the default value is 1) the implementation of the method may choose not to scale the "flux" function by any coefficients describing the integrator.
[in]	ir	If passed (the default value is NULL), the implementation of the method will ignore the integration rule provided by the fluxelem parameter and, instead, compute the discrete flux at the points specified by the integration rule ir.

Reimplemented in mfem::CurlCurlIntegrator, mfem::DiffusionIntegrator, and mfem::ElasticityIntegrator.

Definition at line 261 of file bilininteg.hpp.

◆ ComputeFluxEnergy()

virtual real_t mfem::BilinearFormIntegrator::ComputeFluxEnergy	(	const FiniteElement &	fluxelem,
		ElementTransformation &	Trans,
		Vector &	flux,
		Vector *	d_energy = NULL )

inlinevirtual

Virtual method required for Zienkiewicz-Zhu type error estimators.

The purpose of this method is to compute a local number that measures the energy of a given "flux" function (see ComputeElementFlux() for a description of the "flux" function). Typically, the energy of a "flux" function should be equal to a_local(u,u), if the "flux" is defined from a solution u; here a_local(.,.) denotes the element-local bilinear form represented by the integrator.

Parameters

[in]	fluxelem	FiniteElement of the "flux".
[in]	Trans	The ElementTransformation describing the physical position of the mesh element.
[in]	flux	"Flux" coefficients representing the expansion of the "flux" function in the basis of fluxelem.
[out]	d_energy	If not NULL, the given Vector should be set to represent directional energy split that can be used for anisotropic error estimation.

Returns: The computed energy.

Reimplemented in mfem::CurlCurlIntegrator, mfem::DiffusionIntegrator, and mfem::ElasticityIntegrator.

Definition at line 287 of file bilininteg.hpp.

◆ RequiresFaceNormalDerivatives()

virtual bool mfem::BilinearFormIntegrator::RequiresFaceNormalDerivatives ( ) const

inlinevirtual

For bilinear forms on element faces, specifies if the normal derivatives are needed on the faces or just the face restriction.

if RequiresFaceNormalDerivatives() == true, then AddMultPAFaceNormalDerivatives(...) should be invoked in place of AddMultPA(...) and L2NormalDerivativeFaceRestriction should be used to compute the normal derivatives. This is used for some DG integrators, for example DGDiffusionIntegrator.

Returns: whether normal derivatives appear in the bilinear form.

Reimplemented in mfem::DGDiffusionIntegrator.

Definition at line 303 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 Member Functions

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ BilinearFormIntegrator()

◆ ~BilinearFormIntegrator()

Member Function Documentation

◆ AddMultMF()

◆ AddMultNURBSPA()

◆ AddMultPA()

◆ AddMultPAFaceNormalDerivatives()

◆ AddMultTransposeMF()

◆ AddMultTransposePA()

◆ AssembleDiagonalMF()

◆ AssembleDiagonalPA()

◆ AssembleDiagonalPA_ADAt()

◆ AssembleEA()

◆ AssembleEABoundary()

◆ AssembleEABoundaryFaces()

◆ AssembleEAInteriorFaces() [1/2]

◆ AssembleEAInteriorFaces() [2/2]

◆ AssembleElementGrad()

◆ AssembleElementMatrix()

◆ AssembleElementMatrix2()

◆ AssembleElementVector()

◆ AssembleFaceGrad()

◆ AssembleFaceMatrix() [1/3]

◆ AssembleFaceMatrix() [2/3]

◆ AssembleFaceMatrix() [3/3]

◆ AssembleFaceVector()

◆ AssembleMF()

◆ AssembleNURBSPA()

◆ AssemblePA() [1/2]

◆ AssemblePA() [2/2]

◆ AssemblePABoundary()

◆ AssemblePABoundaryFaces()

◆ AssemblePAInteriorFaces()

◆ AssemblePatchMatrix()

◆ AssembleTraceFaceMatrix()

◆ ComputeElementFlux()

◆ ComputeFluxEnergy()

◆ RequiresFaceNormalDerivatives()