MFEM  v4.0
Finite element discretization library
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mfem::CurlCurlIntegrator Class Reference

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

#include <bilininteg.hpp>

Inheritance diagram for mfem::CurlCurlIntegrator:
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Collaboration diagram for mfem::CurlCurlIntegrator:
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Public Member Functions

 CurlCurlIntegrator ()
 
 CurlCurlIntegrator (Coefficient &q)
 Construct a bilinear form integrator for Nedelec elements. More...
 
 CurlCurlIntegrator (MatrixCoefficient &m)
 
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, int 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...
 
- Public Member Functions inherited from mfem::BilinearFormIntegrator
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 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 ~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 Attributes

CoefficientQ
 
MatrixCoefficientMQ
 
- Protected Attributes inherited from mfem::NonlinearFormIntegrator
const IntegrationRuleIntRule
 

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 1979 of file bilininteg.hpp.

Constructor & Destructor Documentation

mfem::CurlCurlIntegrator::CurlCurlIntegrator ( )
inline

Definition at line 1993 of file bilininteg.hpp.

mfem::CurlCurlIntegrator::CurlCurlIntegrator ( Coefficient q)
inline

Construct a bilinear form integrator for Nedelec elements.

Definition at line 1995 of file bilininteg.hpp.

mfem::CurlCurlIntegrator::CurlCurlIntegrator ( MatrixCoefficient m)
inline

Definition at line 1996 of file bilininteg.hpp.

Member Function Documentation

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 1379 of file bilininteg.cpp.

void mfem::CurlCurlIntegrator::ComputeElementFlux ( const FiniteElement el,
ElementTransformation Trans,
Vector u,
const FiniteElement fluxelem,
Vector flux,
int  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]elFiniteElement of the solution.
[in]TransThe ElementTransformation describing the physical position of the mesh element.
[in]uSolution coefficients representing the expansion of the solution function in the basis of el.
[in]fluxelemFiniteElement 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_coefIf 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 1451 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]fluxelemFiniteElement of the "flux".
[in]TransThe 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_energyIf 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 1467 of file bilininteg.cpp.

Member Data Documentation

MatrixCoefficient* mfem::CurlCurlIntegrator::MQ
protected

Definition at line 1990 of file bilininteg.hpp.

Coefficient* mfem::CurlCurlIntegrator::Q
protected

Definition at line 1989 of file bilininteg.hpp.


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