Abstract base class BilinearFormIntegrator. More...

#include <bilininteg.hpp>

Inherited by DomainIntegrator, mfem::ConvectionIntegrator, mfem::CurlCurlIntegrator, mfem::DerivativeIntegrator, mfem::DGDiffusionIntegrator, mfem::DGElasticityIntegrator, mfem::DGTraceIntegrator, mfem::DiffusionIntegrator, mfem::DiscreteInterpolator, mfem::DivDivIntegrator, mfem::ElasticityIntegrator, mfem::GroupConvectionIntegrator, mfem::InverseIntegrator, mfem::LumpedIntegrator, mfem::MassIntegrator, mfem::MixedScalarIntegrator, mfem::MixedScalarVectorIntegrator, mfem::MixedVectorIntegrator, mfem::NormalTraceJumpIntegrator, mfem::SumIntegrator, mfem::TraceJumpIntegrator, mfem::TransposeIntegrator, mfem::VectorCurlCurlIntegrator, mfem::VectorDiffusionIntegrator, mfem::VectorDivergenceIntegrator, mfem::VectorFECurlIntegrator, mfem::VectorFEDivergenceIntegrator, mfem::VectorFEMassIntegrator, mfem::VectorFEWeakDivergenceIntegrator, and mfem::VectorMassIntegrator.

Collaboration diagram for mfem::BilinearFormIntegrator:

[legend]

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

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

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

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

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

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	AssembleElementVector (const FiniteElement &el, ElementTransformation &Tr, const Vector &elfun, Vector &elvect)
	Perform the local action of the BilinearFormIntegrator. More...

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

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. More...

virtual void	ComputeElementFlux (const FiniteElement &el, ElementTransformation &Trans, Vector &u, const FiniteElement &fluxelem, Vector &flux, int with_coef=1)
	Virtual method required for Zienkiewicz-Zhu type error estimators. More...

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

virtual	~BilinearFormIntegrator ()

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

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

virtual void	AssembleFaceVector (const FiniteElement &el1, const FiniteElement &el2, FaceElementTransformations &Tr, const Vector &elfun, Vector &elvect)
	Perform the local action of the NonlinearFormIntegrator resulting from a face integral term. More...

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

virtual	~NonlinearFormIntegrator ()

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

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

Additional Inherited Members
Protected Attributes inherited from mfem::NonlinearFormIntegrator
const IntegrationRule *	IntRule

Detailed Description

Abstract base class BilinearFormIntegrator.

Definition at line 23 of file bilininteg.hpp.

Constructor & Destructor Documentation

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

inlineprotected

Definition at line 26 of file bilininteg.hpp.

virtual mfem::BilinearFormIntegrator::~BilinearFormIntegrator ( )

inlinevirtual

Definition at line 167 of file bilininteg.hpp.

Member Function Documentation

void mfem::BilinearFormIntegrator::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 in mfem::MassIntegrator, and mfem::DiffusionIntegrator.

Definition at line 29 of file bilininteg.cpp.

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.

Definition at line 35 of file bilininteg.cpp.

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

inlinevirtual

Assemble the local gradient matrix.

Reimplemented from mfem::NonlinearFormIntegrator.

Definition at line 97 of file bilininteg.hpp.

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

virtual

Given a particular Finite Element computes the element matrix elmat.

Reimplemented in mfem::ElasticityIntegrator, mfem::VectorDiffusionIntegrator, mfem::DivDivIntegrator, mfem::VectorFEMassIntegrator, mfem::VectorCurlCurlIntegrator, mfem::CurlCurlIntegrator, mfem::DerivativeIntegrator, mfem::VectorFECurlIntegrator, mfem::VectorFEWeakDivergenceIntegrator, mfem::VectorFEDivergenceIntegrator, mfem::VectorMassIntegrator, mfem::GroupConvectionIntegrator, mfem::ConvectionIntegrator, mfem::MassIntegrator, mfem::DiffusionIntegrator, mfem::MixedVectorIntegrator, mfem::MixedScalarIntegrator, mfem::SumIntegrator, mfem::InverseIntegrator, mfem::LumpedIntegrator, and mfem::TransposeIntegrator.

Definition at line 41 of file bilininteg.cpp.

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::VectorInnerProductInterpolator, mfem::VectorCrossProductInterpolator, mfem::VectorScalarProductInterpolator, mfem::ScalarVectorProductInterpolator, mfem::ScalarProductInterpolator, mfem::NormalInterpolator, mfem::DivergenceInterpolator, mfem::CurlInterpolator, mfem::IdentityInterpolator, mfem::GradientInterpolator, mfem::VectorDivergenceIntegrator, mfem::VectorFEMassIntegrator, mfem::DerivativeIntegrator, mfem::VectorFECurlIntegrator, mfem::VectorFEWeakDivergenceIntegrator, mfem::VectorFEDivergenceIntegrator, mfem::VectorMassIntegrator, mfem::MassIntegrator, mfem::DiffusionIntegrator, mfem::MixedScalarVectorIntegrator, mfem::MixedVectorIntegrator, mfem::MixedScalarIntegrator, mfem::TransposeIntegrator, and DomainIntegrator.

Definition at line 49 of file bilininteg.cpp.

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

virtual

Perform the local action of the BilinearFormIntegrator.

Reimplemented from mfem::NonlinearFormIntegrator.

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

Definition at line 74 of file bilininteg.cpp.

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

inlinevirtual

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

Reimplemented from mfem::NonlinearFormIntegrator.

Definition at line 102 of file bilininteg.hpp.

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

virtual

Reimplemented in mfem::DGElasticityIntegrator, mfem::DGDiffusionIntegrator, mfem::DGTraceIntegrator, mfem::BoundaryMassIntegrator, and mfem::TransposeIntegrator.

Definition at line 57 of file bilininteg.cpp.

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::NormalTraceJumpIntegrator, and mfem::TraceJumpIntegrator.

Definition at line 65 of file bilininteg.cpp.

void mfem::BilinearFormIntegrator::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 in mfem::MassIntegrator, and mfem::DiffusionIntegrator.

Definition at line 23 of file bilininteg.cpp.

virtual void mfem::BilinearFormIntegrator::ComputeElementFlux	(	const FiniteElement &	el,
		ElementTransformation &	Trans,
		Vector &	u,
		const FiniteElement &	fluxelem,
		Vector &	flux,
		int	with_coef = `1`
	)

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.

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

Definition at line 137 of file bilininteg.hpp.

virtual double 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::ElasticityIntegrator, mfem::CurlCurlIntegrator, and mfem::DiffusionIntegrator.

Definition at line 162 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

Member Function Documentation