Grad Template Specializations module

Template specializations of the Grad class.

Specialization	Description
Grad<GridFunction<MatrixFES, Data>>	Matrix-valued grid-function operator for all supported spaces and backends.
Grad<ShapeFunction<Derived, MatrixFES, Space>>	Matrix shape-function operator with the scalar family's geometry and trace semantics.
GradBase<GridFunction<FES, Data>, Derived>	Generic gradient base for scalar grid functions.
Grad<H1<K, Scalar, Mesh>, GridFunction<H1<K, Scalar, Mesh>, Data>>	Gradient of an H1 grid function.
Grad<H1<K, Scalar, Mesh>, ShapeFunction<NestedDerived, H1<K, Scalar, Mesh>, Space>>	Gradient of an H1 shape-function expression.
Grad<P1<Range, Mesh>, GridFunction<P1<Range, Mesh>, Data>>	Gradient of a P1 grid function.
Grad<P1<Range, Mesh>, ShapeFunction<NestedDerived, P1<Range, Mesh>, Space>>	Gradient of a P1 shape-function expression.
Grad<P0<Range, Mesh>, GridFunction<P0<Range, Mesh>, Data>>	Gradient of a P0 grid function.
Grad<P0<Range, Mesh>, ShapeFunction<NestedDerived, P0<Range, Mesh>, Space>>	Gradient of a P0 shape-function expression.

Classes

template<class FES, class Data, class Derived> class Rodin::Variational::DerivativeBase<GridFunction<FES, Data>, Derived>: CRTP base for the partial derivative of a grid function.
template<class FES, class Data, class Derived> class Rodin::Variational::GradBase<GridFunction<FES, Data>, Derived>: Gradient operator for grid functions.
template<size_t K, class Scalar, class Mesh, class Data> class Rodin::Variational::Grad<GridFunction<H1<K, Scalar, Mesh>, Data>>: Gradient of a GridFunction on H1<K> space.
template<size_t K, class NestedDerived, class Scalar, class Mesh, ShapeFunctionSpaceType SpaceType> class Rodin::Variational::Grad<ShapeFunction<NestedDerived, H1<K, Scalar, Mesh>, SpaceType>>: Gradient of a ShapeFunction on H1<K> space.
template<size_t K, class Scalar, class Mesh, class Data> class Rodin::Variational::Grad<GridFunction<H1<K, Math::SpatialMatrix<Scalar>, Mesh>, Data>>: Physical gradient of a matrix H1 solution, with derivative axis last. Uses this family's scalar basis and component ordering.
template<size_t K, class Scalar, class Mesh, class Derived, ShapeFunctionSpaceType Space> class Rodin::Variational::Grad<ShapeFunction<Derived, H1<K, Math::SpatialMatrix<Scalar>, Mesh>, Space>>: Physical gradients of matrix H1 trial or test bases.
template<class Range, class Data, class Mesh> class Rodin::Variational::Grad<GridFunction<P0<Range, Mesh>, Data>>: Gradient of a P0 GridFunction.
template<class NestedDerived, class Scalar, class Mesh, ShapeFunctionSpaceType SpaceType> class Rodin::Variational::Grad<ShapeFunction<NestedDerived, P0<Scalar, Mesh>, SpaceType>>: Gradient of a P0 ShapeFunction.
template<class Scalar, class Mesh, class Data> class Rodin::Variational::Grad<GridFunction<P0<Math::SpatialMatrix<Scalar>, Mesh>, Data>>: Physical gradient of a matrix P0 solution, with derivative axis last. Uses this family's scalar basis and component ordering.
template<class Scalar, class Mesh, class Derived, ShapeFunctionSpaceType Space> class Rodin::Variational::Grad<ShapeFunction<Derived, P0<Math::SpatialMatrix<Scalar>, Mesh>, Space>>: Physical gradients of matrix P0 trial or test bases.
template<class Scalar, class Mesh, class Data> class Rodin::Variational::Grad<GridFunction<P0g<Math::SpatialMatrix<Scalar>, Mesh>, Data>>: Physical gradient of a matrix P0g solution, with derivative axis last. Uses this family's scalar basis and component ordering.
template<class Scalar, class Mesh, class Derived, ShapeFunctionSpaceType Space> class Rodin::Variational::Grad<ShapeFunction<Derived, P0g<Math::SpatialMatrix<Scalar>, Mesh>, Space>>: Physical gradients of matrix P0g trial or test bases.
template<class NestedDerived, class Scalar, class Mesh, ShapeFunctionSpaceType SpaceType> class Rodin::Variational::Grad<ShapeFunction<NestedDerived, P1<Scalar, Mesh>, SpaceType>>: Gradient of a ShapeFunction.
template<class Scalar, class Mesh, class Data> class Rodin::Variational::Grad<GridFunction<P1<Math::SpatialMatrix<Scalar>, Mesh>, Data>>: Physical gradient of a matrix P1 solution, with derivative axis last. Uses this family's scalar basis and component ordering.
template<class Scalar, class Mesh, class Derived, ShapeFunctionSpaceType Space> class Rodin::Variational::Grad<ShapeFunction<Derived, P1<Math::SpatialMatrix<Scalar>, Mesh>, Space>>: Physical gradients of matrix P1 trial or test bases.