MFEM v4.7.0
Finite element discretization library
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Public Member Functions | Protected Attributes | List of all members
mfem::CurlCurlIntegrator Class Reference

Integrator for \((\mathrm{curl}(u), \mathrm{curl}(v))\) 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, const IntegrationRule *ir=NULL)
 Construct a bilinear form integrator for Nedelec elements.
 
 CurlCurlIntegrator (DiagonalMatrixCoefficient &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.
 
virtual void AssembleElementMatrix2 (const FiniteElement &trial_fe, const FiniteElement &test_fe, ElementTransformation &Trans, DenseMatrix &elmat)
 
virtual void ComputeElementFlux (const FiniteElement &el, ElementTransformation &Trans, Vector &u, const FiniteElement &fluxelem, Vector &flux, bool with_coef, 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 void AssemblePA (const FiniteElementSpace &fes)
 Method defining partial assembly.
 
virtual void AddMultPA (const Vector &x, Vector &y) const
 Method for partially assembled action.
 
virtual void AssembleDiagonalPA (Vector &diag)
 Assemble diagonal and add it to Vector diag.
 
const CoefficientGetCoefficient () const
 
virtual void AssemblePA (const FiniteElementSpace &fes)
 Method defining partial assembly.
 
virtual void AssemblePA (const FiniteElementSpace &trial_fes, const FiniteElementSpace &test_fes)
 
- 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 AssembleElementMatrix (const FiniteElement &el, ElementTransformation &Trans, DenseMatrix &elmat)
 Given a particular Finite Element computes the element matrix elmat.
 
virtual void AssembleElementMatrix2 (const FiniteElement &trial_fe, const FiniteElement &test_fe, ElementTransformation &Trans, DenseMatrix &elmat)
 
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 IntegrationRuleGetIntegrationRule () const
 Get the integration rule of the integrator (possibly NULL).
 
virtual void AssembleElementVector (const FiniteElement &el, ElementTransformation &Tr, const Vector &elfun, Vector &elvect)
 Perform the local action of the NonlinearFormIntegrator.
 
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.
 
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 real_t GetElementEnergy (const FiniteElement &el, ElementTransformation &Tr, const Vector &elfun)
 Compute the local energy.
 
virtual void AssemblePA (const FiniteElementSpace &fes)
 Method defining partial assembly.
 
virtual void AssemblePA (const FiniteElementSpace &trial_fes, const FiniteElementSpace &test_fes)
 
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 AddMultPA (const Vector &x, Vector &y) const
 Method for partially assembled action.
 
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.
 
virtual void AssembleMF (const FiniteElementSpace &fes)
 Method defining fully unassembled operator.
 
virtual void AddMultMF (const Vector &x, Vector &y) const
 
ceed::OperatorGetCeedOp ()
 
virtual ~NonlinearFormIntegrator ()
 

Protected Attributes

CoefficientQ
 
DiagonalMatrixCoefficientDQ
 
MatrixCoefficientMQ
 
Vector pa_data
 
const DofToQuadmapsO
 Not owned. DOF-to-quad map, open.
 
const DofToQuadmapsC
 Not owned. DOF-to-quad map, closed.
 
const GeometricFactorsgeom
 Not owned.
 
int dim
 
int ne
 
int nq
 
int dofs1D
 
int quad1D
 
bool symmetric = true
 False if using a nonsymmetric matrix coefficient.
 
- Protected Attributes inherited from mfem::NonlinearFormIntegrator
const IntegrationRuleIntRule
 
Mode integrationMode = Mode::ELEMENTWISE
 
NURBSMeshRulespatchRules = nullptr
 
ceed::OperatorceedOp
 
MemoryType pa_mt = MemoryType::DEFAULT
 

Additional Inherited Members

- Public Types inherited from mfem::NonlinearFormIntegrator
enum  Mode { ELEMENTWISE = 0 , PATCHWISE = 1 , PATCHWISE_REDUCED = 2 }
 
- 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 \((\mathrm{curl}(u), \mathrm{curl}(v))\) for Nedelec elements.

Definition at line 2639 of file bilininteg.hpp.

Constructor & Destructor Documentation

◆ CurlCurlIntegrator() [1/4]

mfem::CurlCurlIntegrator::CurlCurlIntegrator ( )
inline

Definition at line 2664 of file bilininteg.hpp.

◆ CurlCurlIntegrator() [2/4]

mfem::CurlCurlIntegrator::CurlCurlIntegrator ( Coefficient q,
const IntegrationRule ir = NULL 
)
inline

Construct a bilinear form integrator for Nedelec elements.

Definition at line 2666 of file bilininteg.hpp.

◆ CurlCurlIntegrator() [3/4]

mfem::CurlCurlIntegrator::CurlCurlIntegrator ( DiagonalMatrixCoefficient dq,
const IntegrationRule ir = NULL 
)
inline

Definition at line 2668 of file bilininteg.hpp.

◆ CurlCurlIntegrator() [4/4]

mfem::CurlCurlIntegrator::CurlCurlIntegrator ( MatrixCoefficient mq,
const IntegrationRule ir = NULL 
)
inline

Definition at line 2671 of file bilininteg.hpp.

Member Function Documentation

◆ AddMultPA()

virtual 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.

◆ AssembleDiagonalPA()

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

Assemble diagonal and add it to Vector diag.

Reimplemented from mfem::BilinearFormIntegrator.

◆ AssembleElementMatrix()

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 1996 of file bilininteg.cpp.

◆ AssembleElementMatrix2()

void mfem::CurlCurlIntegrator::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 from mfem::BilinearFormIntegrator.

Definition at line 2067 of file bilininteg.cpp.

◆ AssemblePA() [1/3]

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 from mfem::BilinearFormIntegrator.

Definition at line 48 of file bilininteg.cpp.

◆ AssemblePA() [2/3]

virtual 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.

◆ AssemblePA() [3/3]

void mfem::BilinearFormIntegrator::AssemblePA ( const FiniteElementSpace trial_fes,
const FiniteElementSpace test_fes 
)
virtual

Used with BilinearFormIntegrators that have different spaces.

Reimplemented from mfem::BilinearFormIntegrator.

Definition at line 50 of file bilininteg.cpp.

◆ ComputeElementFlux()

void mfem::CurlCurlIntegrator::ComputeElementFlux ( const FiniteElement el,
ElementTransformation Trans,
Vector u,
const FiniteElement fluxelem,
Vector flux,
bool  with_coef,
const IntegrationRule ir = NULL 
)
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.
[in]irIf passed (the default value is NULL), the implementation of the method will ignore the integration rule provided by the fluxelem parameter and, instead, compute the discrete flux at the points specified by the integration rule ir.

Reimplemented from mfem::BilinearFormIntegrator.

Definition at line 2144 of file bilininteg.cpp.

◆ ComputeFluxEnergy()

real_t 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 2163 of file bilininteg.cpp.

◆ GetCoefficient()

const Coefficient * mfem::CurlCurlIntegrator::GetCoefficient ( ) const
inline

Definition at line 2700 of file bilininteg.hpp.

Member Data Documentation

◆ dim

int mfem::CurlCurlIntegrator::dim
protected

Definition at line 2660 of file bilininteg.hpp.

◆ dofs1D

int mfem::CurlCurlIntegrator::dofs1D
protected

Definition at line 2660 of file bilininteg.hpp.

◆ DQ

DiagonalMatrixCoefficient* mfem::CurlCurlIntegrator::DQ
protected

Definition at line 2652 of file bilininteg.hpp.

◆ geom

const GeometricFactors* mfem::CurlCurlIntegrator::geom
protected

Not owned.

Definition at line 2659 of file bilininteg.hpp.

◆ mapsC

const DofToQuad* mfem::CurlCurlIntegrator::mapsC
protected

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

Definition at line 2658 of file bilininteg.hpp.

◆ mapsO

const DofToQuad* mfem::CurlCurlIntegrator::mapsO
protected

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

Definition at line 2657 of file bilininteg.hpp.

◆ MQ

MatrixCoefficient* mfem::CurlCurlIntegrator::MQ
protected

Definition at line 2653 of file bilininteg.hpp.

◆ ne

int mfem::CurlCurlIntegrator::ne
protected

Definition at line 2660 of file bilininteg.hpp.

◆ nq

int mfem::CurlCurlIntegrator::nq
protected

Definition at line 2660 of file bilininteg.hpp.

◆ pa_data

Vector mfem::CurlCurlIntegrator::pa_data
protected

Definition at line 2656 of file bilininteg.hpp.

◆ Q

Coefficient* mfem::CurlCurlIntegrator::Q
protected

Definition at line 2651 of file bilininteg.hpp.

◆ quad1D

int mfem::CurlCurlIntegrator::quad1D
protected

Definition at line 2660 of file bilininteg.hpp.

◆ symmetric

bool mfem::CurlCurlIntegrator::symmetric = true
protected

False if using a nonsymmetric matrix coefficient.

Definition at line 2661 of file bilininteg.hpp.


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