Grad.h file

Gradient operator specialization for P0 (piecewise constant) functions.

For P0 functions, the gradient is zero within each element since implies .

Namespaces

namespace Rodin: The Rodin library for finite element methods and shape optimization.
namespace Rodin::FormLanguage: Namespace FormLanguage.
namespace Rodin::Variational: Namespace Variational.

Classes

template<class Range, class Data, class Mesh> struct Rodin::FormLanguage::Traits<Variational::Grad<Variational::GridFunction<Variational::P0<Range, Mesh>, Data>>>: Type traits for Grad over a grid function: exposes the finite element space and the operand type.
template<class NestedDerived, class Range, class Mesh, Variational::ShapeFunctionSpaceType Space> struct Rodin::FormLanguage::Traits<Variational::Grad<Variational::ShapeFunction<NestedDerived, Variational::P0<Range, Mesh>, Space>>>: Type traits for Grad over a shape function: exposes the finite element space, the shape function space and the operand type.
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> struct Rodin::FormLanguage::Traits<Variational::Grad<Variational::GridFunction<Variational::P0<Math::SpatialMatrix<Scalar>, Mesh>, Data>>>: Rank-three physical gradient range for the matrix P0 solution.
template<class Scalar, class Mesh, class Derived, Variational::ShapeFunctionSpaceType Space> struct Rodin::FormLanguage::Traits<Variational::Grad<Variational::ShapeFunction<Derived, Variational::P0<Math::SpatialMatrix<Scalar>, Mesh>, Space>>>: Rank-three physical gradient range for matrix P0 shape functions.
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.