Bilinear integrator form. More...

#include "src/finite_elements/BiLinearFormsIntegrators.hpp"

Inheritance diagram for MoFEM::FormsIntegrators< EleOp >::Assembly< A >:

Collaboration diagram for MoFEM::FormsIntegrators< EleOp >::Assembly< A >:

Public Types
template<int BASE_DIM, int FIELD_DIM, int SPACE_DIM>
using	OpGradGrad = OpGradGradImpl< BASE_DIM, FIELD_DIM, SPACE_DIM, I, OpBase >
	Gradient-gradient bilinear form: \((v_{,i},\beta(\mathbf{x}) u_{,j})_\Omega\).

template<int BASE_DIM, int FIELD_DIM>
using	OpMass = OpMassImpl< BASE_DIM, FIELD_DIM, I, OpBase >
	Mass matrix bilinear form: \((v_i,\beta(\mathbf{x}) u_j)_\Omega\).

template<int BASE_DIM, int FIELD_DIM>
using	OpMassCache = OpMassCacheImpl< BASE_DIM, FIELD_DIM, I, OpBase >
	Cached mass matrix bilinear form (same as OpMass with caching)

template<int BASE_DIM, int FIELD_DIM, int SPACE_DIM, int S = 0>
using	OpGradSymTensorGrad = OpGradSymTensorGradImpl< BASE_DIM, FIELD_DIM, SPACE_DIM, S, I, OpBase >
	Symmetric tensor gradient bilinear form: \((v_k,D_{ijkl} u_{,l})_\Omega\).

template<int BASE_DIM, int FIELD_DIM, int SPACE_DIM, int S = 0>
using	OpGradGradSymTensorGradGrad = OpGradGradSymTensorGradGradImpl< BASE_DIM, FIELD_DIM, SPACE_DIM, S, I, OpBase >
	Second-order gradient symmetric tensor bilinear form: \((v_{,ij},D_{ijkl} u_{,kl})_\Omega\).

template<int BASE_DIM, int FIELD_DIM, int SPACE_DIM, int S = 0>
using	OpGradTensorGrad = OpGradTensorGradImpl< BASE_DIM, FIELD_DIM, SPACE_DIM, S, I, OpBase >
	General tensor gradient bilinear form: \((v_{,j},D_{ijkl} u_{,l})_\Omega\).

template<int SPACE_DIM>
using	OpMixDivTimesScalar = OpMixDivTimesScalarImpl< SPACE_DIM, I, OpBase >
	Mixed divergence-scalar bilinear form: \((\lambda_{i,i},u)_\Omega\).

template<int SPACE_DIM, CoordinateTypes CoordSys = CARTESIAN>
using	OpMixDivTimesVec = OpMixDivTimesVecImpl< SPACE_DIM, I, OpBase, CoordSys >
	Mixed tensor divergence-vector bilinear form: \((\lambda_{ij,j},u_{i})_\Omega\).

template<int SPACE_DIM, CoordinateTypes COORDINATE_SYSTEM = CARTESIAN>
using	OpMixScalarTimesDiv = OpMixScalarTimesDivImpl< SPACE_DIM, I, OpBase, COORDINATE_SYSTEM >
	Mixed scalar-divergence bilinear form: \((\lambda,u_{i,i})_\Omega\).

template<int BASE_DIM, int FIELD_DIM, int SPACE_DIM>
using	OpMixVectorTimesGrad = OpMixVectorTimesGradImpl< BASE_DIM, FIELD_DIM, SPACE_DIM, I, OpBase >
	Mixed vector-gradient bilinear form: \((\lambda_{i},u_{,j})_\Omega\).

template<int SPACE_DIM>
using	OpMixTensorTimesGrad = OpMixTensorTimesGradImpl< SPACE_DIM, I, OpBase >
	Mixed tensor-gradient bilinear form: \((\lambda_{ij},u_{i,j})_\Omega\).

template<int FIELD_DIM>
using	OpBrokenSpaceConstrain = OpBrokenSpaceConstrainImpl< FIELD_DIM, I, OpBrokenBase >
	Hybridization constraint bilinear form for broken spaces.

template<int BASE_DIM, int FIELD_DIM, typename S = SourceFunctionSpecialization>
using	OpSource = OpSourceImpl< BASE_DIM, FIELD_DIM, I, typename S::template S< OpBase > >
	Integrate \((v,f(\mathbf{x}))_\Omega\) where f is a scalar function.

template<int BASE_DIM, int S = 1>
using	OpBaseTimesScalar = OpBaseTimesScalarImpl< BASE_DIM, S, I, OpBase >
	Scalar field integrator \((v_i,f)_\Omega\) where f is a scalar.

template<int BASE_DIM, int S = 1>
using	OpBaseTimesScalarField = OpBaseTimesScalar< BASE_DIM, S >
	Deprecated alias for OpBaseTimesScalar.

template<int BASE_DIM, int FIELD_DIM, int S>
using	OpBaseTimesVector = OpBaseTimesVectorImpl< BASE_DIM, FIELD_DIM, S, I, OpBase >
	Vector field integrator \((v,f_i)_\Omega\) where f is a vector.

template<int BASE_DIM, int FIELD_DIM, int SPACE_DIM, int S = 1>
using	OpGradTimesTensor = OpGradTimesTensorImpl< BASE_DIM, FIELD_DIM, SPACE_DIM, S, I, OpBase >
	[Source operator]

template<int BASE_DIM, int FIELD_DIM, int SPACE_DIM, int S = 1>
using	OpGradTimesSymTensor = OpGradTimesSymTensorImpl< BASE_DIM, FIELD_DIM, SPACE_DIM, S, I, OpBase >
	Integrate \((v_{,i},f_{ij})_\Omega\) where f is a symmetric tensor.

template<int BASE_DIM, int FIELD_DIM, int SPACE_DIM, CoordinateTypes CoordSys = CARTESIAN>
using	OpMixDivTimesU = OpMixDivTimesUImpl< BASE_DIM, FIELD_DIM, SPACE_DIM, I, OpBase, CoordSys >
	Mixed formulation integrator: \((\lambda_{ij,j},u_{i})_\Omega\).

template<int SPACE_DIM>
using	OpMixTensorTimesGradU = OpMixTensorTimesGradUImpl< SPACE_DIM, I, OpBase >
	Mixed formulation integrator: \((\lambda_{ij},u_{i,j})_\Omega\).

template<int SPACE_DIM>
using	OpMixVecTimesDivLambda = OpMixVecTimesDivLambdaImpl< SPACE_DIM, I, OpBase >
	Mixed formulation integrator: \((u_{i},\lambda_{ij,j})_\Omega\).

template<int SPACE_DIM>
using	OpNormalMixVecTimesScalar = OpNormalMixVecTimesScalarImpl< SPACE_DIM, I, OpBase >
	Boundary integrator: normal vector times scalar function.

template<int SPACE_DIM>
using	OpNormalMixVecTimesVectorField = OpNormalMixVecTimesVectorFieldImpl< SPACE_DIM, I, OpBase >
	Boundary integrator: normal vector times vector field.

template<int BASE_DIM, int FIELD_DIM, int SPACE_DIM>
using	OpConvectiveTermRhs = OpConvectiveTermRhsImpl< BASE_DIM, FIELD_DIM, SPACE_DIM, I, OpBase >
	Convective term integrator: \((v, u_i \mathbf{y}_{,i})\).

template<int FIELD_DIM>
using	OpBrokenSpaceConstrainDHybrid = OpBrokenSpaceConstrainDHybridImpl< FIELD_DIM, I, OpBase >
	Hybridization constraint integrator for broken spaces.

template<int FIELD_DIM>
using	OpBrokenSpaceConstrainDFlux = OpBrokenSpaceConstrainDFluxImpl< FIELD_DIM, I, OpBrokenBase >
	Assemble Rhs for contraint matrix C^T whole hybridisation.

template<int SPACE_DIM>
using	OpMixTensorTimesGrad = OpMixTensorTimesGradImpl< SPACE_DIM, I, OpBase >
	Integrate \((\lambda_{ij},u_{i,j})_\Omega\).

template<int BASE_DIM, int FIELD_DIM, int SPACE_DIM>
using	OpConvectiveTermLhsDu = OpConvectiveTermLhsDuImpl< BASE_DIM, FIELD_DIM, SPACE_DIM, I, OpBase >

template<int BASE_DIM, int FIELD_DIM, int SPACE_DIM>
using	OpConvectiveTermLhsDy = OpConvectiveTermLhsDyImpl< BASE_DIM, FIELD_DIM, SPACE_DIM, I, OpBase >