Integrator for (curl u, curl v) for Nedelec elements. More...

#include <bilininteg.hpp>

Inheritance diagram for mfem::CurlCurlIntegrator:

Collaboration diagram for mfem::CurlCurlIntegrator:

Public Member Functions
	CurlCurlIntegrator ()

	CurlCurlIntegrator (Coefficient &q, const IntegrationRule *ir=NULL)
	Construct a bilinear form integrator for Nedelec elements. More...

	CurlCurlIntegrator (VectorCoefficient &dq, const IntegrationRule *ir=NULL)

	CurlCurlIntegrator (MatrixCoefficient &mq, const IntegrationRule *ir=NULL)

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

virtual void	ComputeElementFlux (const FiniteElement &el, ElementTransformation &Trans, Vector &u, const FiniteElement &fluxelem, Vector &flux, bool with_coef)
	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 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	AssembleDiagonalPA (Vector &diag)
	Assemble diagonal and add it to Vector diag. More...

Public Member Functions inherited from mfem::BilinearFormIntegrator
virtual void	AssemblePA (const FiniteElementSpace &trial_fes, const FiniteElementSpace &test_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 ADA^T (A is this integrator) and add it to diag. More...

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

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

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

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. More...

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	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. Note that the default implementation in the base class is general but not efficient. More...

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

virtual	~NonlinearFormIntegrator ()

Protected Attributes
Coefficient *	Q

VectorCoefficient *	DQ

MatrixCoefficient *	MQ

Vector	pa_data

const DofToQuad *	mapsO
	Not owned. DOF-to-quad map, open. More...

const DofToQuad *	mapsC
	Not owned. DOF-to-quad map, closed. More...

const GeometricFactors *	geom
	Not owned. More...

int	dim

int	ne

int	nq

int	dofs1D

int	quad1D

bool	symmetric = true
	False if using a nonsymmetric matrix coefficient. More...

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

Additional Inherited Members
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 (curl u, curl v) for Nedelec elements.

Definition at line 2326 of file bilininteg.hpp.

Constructor & Destructor Documentation

mfem::CurlCurlIntegrator::CurlCurlIntegrator ( )

inline

Definition at line 2350 of file bilininteg.hpp.

mfem::CurlCurlIntegrator::CurlCurlIntegrator	(	Coefficient &	q,
		const IntegrationRule *	ir = `NULL`
	)

inline

Construct a bilinear form integrator for Nedelec elements.

Definition at line 2352 of file bilininteg.hpp.

mfem::CurlCurlIntegrator::CurlCurlIntegrator	(	VectorCoefficient &	dq,
		const IntegrationRule *	ir = `NULL`
	)

inline

Definition at line 2354 of file bilininteg.hpp.

mfem::CurlCurlIntegrator::CurlCurlIntegrator	(	MatrixCoefficient &	mq,
		const IntegrationRule *	ir = `NULL`
	)

inline

Definition at line 2356 of file bilininteg.hpp.

Member Function Documentation

void mfem::CurlCurlIntegrator::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.

Definition at line 1997 of file bilininteg_hcurl.cpp.

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

virtual

Assemble diagonal and add it to Vector diag.

Reimplemented from mfem::BilinearFormIntegrator.

Definition at line 2470 of file bilininteg_hcurl.cpp.

void mfem::CurlCurlIntegrator::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 1590 of file bilininteg.cpp.

void mfem::CurlCurlIntegrator::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.

Definition at line 921 of file bilininteg_hcurl.cpp.

void mfem::CurlCurlIntegrator::ComputeElementFlux	(	const FiniteElement &	el,
		ElementTransformation &	Trans,
		Vector &	u,
		const FiniteElement &	fluxelem,
		Vector &	flux,
		bool	with_coef
	)

virtual

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 from mfem::BilinearFormIntegrator.

Definition at line 1670 of file bilininteg.cpp.

double mfem::CurlCurlIntegrator::ComputeFluxEnergy	(	const FiniteElement &	fluxelem,
		ElementTransformation &	Trans,
		Vector &	flux,
		Vector *	d_energy = `NULL`
	)

virtual

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 from mfem::BilinearFormIntegrator.

Definition at line 1686 of file bilininteg.cpp.

Member Data Documentation

int mfem::CurlCurlIntegrator::dim

protected

Definition at line 2346 of file bilininteg.hpp.

int mfem::CurlCurlIntegrator::dofs1D

protected

Definition at line 2346 of file bilininteg.hpp.

VectorCoefficient* mfem::CurlCurlIntegrator::DQ

protected

Definition at line 2338 of file bilininteg.hpp.

const GeometricFactors* mfem::CurlCurlIntegrator::geom

protected

Not owned.

Definition at line 2345 of file bilininteg.hpp.

const DofToQuad* mfem::CurlCurlIntegrator::mapsC

protected

Not owned. DOF-to-quad map, closed.

Definition at line 2344 of file bilininteg.hpp.

const DofToQuad* mfem::CurlCurlIntegrator::mapsO

protected

Not owned. DOF-to-quad map, open.

Definition at line 2343 of file bilininteg.hpp.

MatrixCoefficient* mfem::CurlCurlIntegrator::MQ

protected

Definition at line 2339 of file bilininteg.hpp.

int mfem::CurlCurlIntegrator::ne

protected

Definition at line 2346 of file bilininteg.hpp.

int mfem::CurlCurlIntegrator::nq

protected

Definition at line 2346 of file bilininteg.hpp.

Vector mfem::CurlCurlIntegrator::pa_data

protected

Definition at line 2342 of file bilininteg.hpp.

Coefficient* mfem::CurlCurlIntegrator::Q

protected

Definition at line 2337 of file bilininteg.hpp.

int mfem::CurlCurlIntegrator::quad1D

protected

Definition at line 2346 of file bilininteg.hpp.

bool mfem::CurlCurlIntegrator::symmetric = true

protected

False if using a nonsymmetric matrix coefficient.

Definition at line 2347 of file bilininteg.hpp.

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

Public Member Functions

Protected Attributes

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation