#include <bilininteg.hpp>

Inheritance diagram for mfem::MixedScalarWeakGradientIntegrator:

Collaboration diagram for mfem::MixedScalarWeakGradientIntegrator:

Public Member Functions
	MixedScalarWeakGradientIntegrator ()

	MixedScalarWeakGradientIntegrator (Coefficient &q)

Public Member Functions inherited from mfem::MixedScalarIntegrator
virtual void	AssembleElementMatrix2 (const FiniteElement &trial_fe, const FiniteElement &test_fe, ElementTransformation &Trans, DenseMatrix &elmat)

virtual void	AssembleElementMatrix (const FiniteElement &fe, ElementTransformation &Trans, DenseMatrix &elmat)
	Support for use in BilinearForm. Can be used only when appropriate.

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

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

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.

virtual void	AddMultPA (const Vector &x, Vector &y) const
	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.

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

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

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

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

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	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	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	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.

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

ceed::Operator &	GetCeedOp ()

virtual	~NonlinearFormIntegrator ()

Protected Member Functions
virtual bool	VerifyFiniteElementTypes (const FiniteElement &trial_fe, const FiniteElement &test_fe) const

virtual const char *	FiniteElementTypeFailureMessage () const

virtual int	GetIntegrationOrder (const FiniteElement &trial_fe, const FiniteElement &test_fe, ElementTransformation &Trans)

virtual void	CalcTestShape (const FiniteElement &test_fe, ElementTransformation &Trans, Vector &shape)

Protected Member Functions inherited from mfem::MixedScalarIntegrator
	MixedScalarIntegrator ()

	MixedScalarIntegrator (Coefficient &q)

virtual void	CalcTrialShape (const FiniteElement &trial_fe, ElementTransformation &Trans, Vector &shape)

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

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

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

Protected Attributes inherited from mfem::MixedScalarIntegrator
bool	same_calc_shape

Coefficient *	Q

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

Mode	integrationMode = Mode::ELEMENTWISE

NURBSMeshRules *	patchRules = nullptr

ceed::Operator *	ceedOp

MemoryType	pa_mt = MemoryType::DEFAULT

Detailed Description

Class for integrating the bilinear form \(a(u,v) := -(Q u, \nabla \cdot v)\) in either 2D or 3D where \(Q\) is an optional scalar coefficient, \(u\) is in \(L_2\) or \(H^1\), and \(v\) is in \(H(div)\).

Definition at line 910 of file bilininteg.hpp.

Constructor & Destructor Documentation

◆ MixedScalarWeakGradientIntegrator() [1/2]

mfem::MixedScalarWeakGradientIntegrator::MixedScalarWeakGradientIntegrator ( )

inline

Definition at line 913 of file bilininteg.hpp.

◆ MixedScalarWeakGradientIntegrator() [2/2]

mfem::MixedScalarWeakGradientIntegrator::MixedScalarWeakGradientIntegrator ( Coefficient & q )

inline

Definition at line 914 of file bilininteg.hpp.

Member Function Documentation

◆ CalcTestShape()

virtual void mfem::MixedScalarWeakGradientIntegrator::CalcTestShape	(	const FiniteElement &	test_fe,
		ElementTransformation &	Trans,
		Vector &	shape )

inlineprotectedvirtual

Reimplemented from mfem::MixedScalarIntegrator.

Definition at line 938 of file bilininteg.hpp.

◆ FiniteElementTypeFailureMessage()

virtual const char * mfem::MixedScalarWeakGradientIntegrator::FiniteElementTypeFailureMessage ( ) const

inlineprotectedvirtual

Reimplemented from mfem::MixedScalarIntegrator.

Definition at line 926 of file bilininteg.hpp.

◆ GetIntegrationOrder()

virtual int mfem::MixedScalarWeakGradientIntegrator::GetIntegrationOrder	(	const FiniteElement &	trial_fe,
		const FiniteElement &	test_fe,
		ElementTransformation &	Trans )

inlineprotectedvirtual

Reimplemented from mfem::MixedScalarIntegrator.

Definition at line 933 of file bilininteg.hpp.

◆ VerifyFiniteElementTypes()

virtual bool mfem::MixedScalarWeakGradientIntegrator::VerifyFiniteElementTypes	(	const FiniteElement &	trial_fe,
		const FiniteElement &	test_fe ) const

inlineprotectedvirtual

Reimplemented from mfem::MixedScalarIntegrator.

Definition at line 918 of file bilininteg.hpp.

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

fem/bilininteg.hpp

Public Member Functions

Protected Member Functions

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ MixedScalarWeakGradientIntegrator() [1/2]

◆ MixedScalarWeakGradientIntegrator() [2/2]

Member Function Documentation

◆ CalcTestShape()

◆ FiniteElementTypeFailureMessage()

◆ GetIntegrationOrder()

◆ VerifyFiniteElementTypes()