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MFEM v4.9.0
Finite element discretization library
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#include <bilininteg.hpp>
Public Member Functions | |
| 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 | |
| void | AssemblePA (const FiniteElementSpace &fes) override |
| Method defining partial assembly. | |
| void | AssemblePA (const FiniteElementSpace &trial_fes, const FiniteElementSpace &test_fes) override |
| 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. | |
| void | AddMultPA (const Vector &x, Vector &y) const override |
| Method for partially assembled action. | |
| virtual void | AddAbsMultPA (const Vector &x, Vector &y) const |
| 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 | AddAbsMultTransposePA (const Vector &x, Vector &y) const |
| 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 | |
| MixedVectorIntegrator () | |
| MixedVectorIntegrator (Coefficient &q) | |
| MixedVectorIntegrator (VectorCoefficient &vq, bool diag=true) | |
| MixedVectorIntegrator (MatrixCoefficient &mq) | |
| virtual bool | VerifyFiniteElementTypes (const FiniteElement &trial_fe, const FiniteElement &test_fe) const |
| virtual const char * | FiniteElementTypeFailureMessage () const |
| 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) |
| virtual int | GetTrialVDim (const FiniteElement &trial_fe) |
| virtual void | CalcTrialShape (const FiniteElement &trial_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. | |
Protected Attributes | |
| 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 |
Additional Inherited Members | |
Public Types inherited from mfem::NonlinearFormIntegrator | |
| enum | Mode { ELEMENTWISE = 0 , PATCHWISE = 1 , PATCHWISE_REDUCED = 2 } |
An abstract class for integrating the inner product of two vector basis functions with an optional scalar, vector, or matrix coefficient.
Definition at line 603 of file bilininteg.hpp.
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Definition at line 624 of file bilininteg.hpp.
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Definition at line 626 of file bilininteg.hpp.
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Definition at line 628 of file bilininteg.hpp.
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Definition at line 631 of file bilininteg.hpp.
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Support for use in BilinearForm. Can be used only when appropriate.
Reimplemented from mfem::BilinearFormIntegrator.
Definition at line 613 of file bilininteg.hpp.
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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 591 of file bilininteg.cpp.
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Reimplemented in mfem::MixedCrossCurlCurlIntegrator, mfem::MixedCrossCurlGradIntegrator, mfem::MixedCrossGradCurlIntegrator, mfem::MixedCrossGradGradIntegrator, mfem::MixedCrossGradIntegrator, mfem::MixedCurlCurlIntegrator, mfem::MixedGradGradIntegrator, mfem::MixedVectorWeakCurlIntegrator, mfem::MixedVectorWeakDivergenceIntegrator, mfem::MixedWeakCurlCrossIntegrator, and mfem::MixedWeakDivCrossIntegrator.
Definition at line 657 of file bilininteg.hpp.
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Reimplemented in mfem::MixedCrossCurlCurlIntegrator, mfem::MixedCrossCurlGradIntegrator, mfem::MixedCrossCurlIntegrator, mfem::MixedCrossGradCurlIntegrator, mfem::MixedCrossGradGradIntegrator, mfem::MixedCrossGradIntegrator, mfem::MixedCurlCurlIntegrator, mfem::MixedGradGradIntegrator, mfem::MixedVectorCurlIntegrator, and mfem::MixedVectorGradientIntegrator.
Definition at line 665 of file bilininteg.hpp.
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Reimplemented in mfem::MixedCrossCurlCurlIntegrator, mfem::MixedCrossCurlGradIntegrator, mfem::MixedCrossCurlIntegrator, mfem::MixedCrossGradCurlIntegrator, mfem::MixedCrossGradGradIntegrator, mfem::MixedCrossGradIntegrator, mfem::MixedCurlCurlIntegrator, mfem::MixedGradGradIntegrator, mfem::MixedVectorCurlIntegrator, mfem::MixedVectorGradientIntegrator, mfem::MixedVectorWeakCurlIntegrator, mfem::MixedVectorWeakDivergenceIntegrator, mfem::MixedWeakCurlCrossIntegrator, and mfem::MixedWeakDivCrossIntegrator.
Definition at line 642 of file bilininteg.hpp.
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Reimplemented in mfem::MixedGradGradIntegrator.
Definition at line 648 of file bilininteg.hpp.
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Reimplemented in mfem::MixedCrossCurlCurlIntegrator, mfem::MixedCrossCurlGradIntegrator, mfem::MixedCrossGradCurlIntegrator, mfem::MixedCrossGradGradIntegrator, mfem::MixedCurlCurlIntegrator, mfem::MixedGradGradIntegrator, mfem::MixedVectorWeakCurlIntegrator, mfem::MixedVectorWeakDivergenceIntegrator, mfem::MixedWeakCurlCrossIntegrator, and mfem::MixedWeakDivCrossIntegrator.
Definition at line 654 of file bilininteg.hpp.
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Reimplemented in mfem::MixedCrossCurlCurlIntegrator, mfem::MixedCrossCurlGradIntegrator, mfem::MixedCrossCurlIntegrator, mfem::MixedCrossGradCurlIntegrator, mfem::MixedCrossGradGradIntegrator, mfem::MixedCrossGradIntegrator, mfem::MixedCurlCurlIntegrator, mfem::MixedGradGradIntegrator, mfem::MixedVectorCurlIntegrator, and mfem::MixedVectorGradientIntegrator.
Definition at line 662 of file bilininteg.hpp.
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Reimplemented in mfem::MixedCrossCurlCurlIntegrator, mfem::MixedCrossCurlGradIntegrator, mfem::MixedCrossCurlIntegrator, mfem::MixedCrossGradCurlIntegrator, mfem::MixedCrossGradGradIntegrator, mfem::MixedCrossGradIntegrator, mfem::MixedCurlCurlIntegrator, mfem::MixedGradGradIntegrator, mfem::MixedVectorCurlIntegrator, mfem::MixedVectorGradientIntegrator, mfem::MixedVectorWeakCurlIntegrator, mfem::MixedVectorWeakDivergenceIntegrator, mfem::MixedWeakCurlCrossIntegrator, and mfem::MixedWeakDivCrossIntegrator.
Definition at line 634 of file bilininteg.hpp.
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Definition at line 673 of file bilininteg.hpp.
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Definition at line 674 of file bilininteg.hpp.
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Definition at line 671 of file bilininteg.hpp.
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This parameter can be set by derived methods to enable single shape evaluation in case CalcTestShape() and CalcTrialShape() return the same result if given the same FiniteElement. The default is false.
Definition at line 622 of file bilininteg.hpp.
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Definition at line 670 of file bilininteg.hpp.
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Definition at line 672 of file bilininteg.hpp.