#include <bilininteg.hpp>

Inheritance diagram for mfem::MixedVectorGradientIntegrator:

Collaboration diagram for mfem::MixedVectorGradientIntegrator:

Public Member Functions
	MixedVectorGradientIntegrator ()

	MixedVectorGradientIntegrator (Coefficient &q)

	MixedVectorGradientIntegrator (DiagonalMatrixCoefficient &dq)

	MixedVectorGradientIntegrator (MatrixCoefficient &mq)

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

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

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

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	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
bool	VerifyFiniteElementTypes (const FiniteElement &trial_fe, const FiniteElement &test_fe) const override

const char *	FiniteElementTypeFailureMessage () const override

int	GetTrialVDim (const FiniteElement &trial_fe) override

void	CalcTrialShape (const FiniteElement &trial_fe, ElementTransformation &Trans, DenseMatrix &shape) override

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

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

void	AddMultTransposePA (const Vector &, Vector &) const override
	Method for partially assembled transposed action.

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

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

	MixedVectorIntegrator (Coefficient &q)

	MixedVectorIntegrator (VectorCoefficient &vq, bool diag=true)

	MixedVectorIntegrator (MatrixCoefficient &mq)

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

virtual int	GetTestVDim (const FiniteElement &test_fe)

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

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::MixedVectorIntegrator
bool	same_calc_shape

int	space_dim

Coefficient *	Q

VectorCoefficient *	VQ

DiagonalMatrixCoefficient *	DQ

MatrixCoefficient *	MQ

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

Class for integrating the bilinear form \(a(u,v) := (Q \nabla u, v)\) in either 2D or 3D and where \(Q\) is an optional coefficient (of type scalar, matrix, or diagonal matrix) \(u\) is in \(H^1\) and \(v\) is in \(H(curl\) or \(H(div)\). Partial assembly (PA) is supported but could be further optimized by using more efficient threading and shared memory.

Definition at line 1893 of file bilininteg.hpp.

Constructor & Destructor Documentation

◆ MixedVectorGradientIntegrator() [1/4]

mfem::MixedVectorGradientIntegrator::MixedVectorGradientIntegrator ( )

inline

Definition at line 1896 of file bilininteg.hpp.

◆ MixedVectorGradientIntegrator() [2/4]

mfem::MixedVectorGradientIntegrator::MixedVectorGradientIntegrator ( Coefficient & q )

inline

Definition at line 1897 of file bilininteg.hpp.

◆ MixedVectorGradientIntegrator() [3/4]

mfem::MixedVectorGradientIntegrator::MixedVectorGradientIntegrator ( DiagonalMatrixCoefficient & dq )

inline

Definition at line 1899 of file bilininteg.hpp.

◆ MixedVectorGradientIntegrator() [4/4]

mfem::MixedVectorGradientIntegrator::MixedVectorGradientIntegrator ( MatrixCoefficient & mq )

inline

Definition at line 1901 of file bilininteg.hpp.

Member Function Documentation

◆ AddMultPA()

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

overrideprotectedvirtual

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.

Definition at line 724 of file bilininteg_mixedvecgrad_pa.cpp.

◆ AddMultTransposePA()

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

overrideprotectedvirtual

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 from mfem::BilinearFormIntegrator.

Definition at line 742 of file bilininteg_mixedvecgrad_pa.cpp.