Grad.h file

Gradient operator specialization for P0g (global constant) functions.

For P0g functions (globally constant), the gradient is identically zero: ∇u = 0.

This holds for all element types and at all points (cells/faces/boundary).

Namespaces

namespace Rodin: The Rodin library for finite element methods and shape optimization.
namespace Rodin::Variational: Finite element spaces, fields, and variational problems.
namespace Rodin::FormLanguage: Typed expressions for constructing variational forms.

template<class Scalar, class Mesh, class Data> class Rodin::Variational::Grad<GridFunction<P0g<Scalar, Mesh>, Data>>: Gradient of a P0g grid function.
template<class NestedDerived, class Scalar, class Mesh, ShapeFunctionSpaceType SpaceType> class Rodin::Variational::Grad<ShapeFunction<NestedDerived, P0g<Scalar, Mesh>, SpaceType>>: Gradient of a P0g shape function.
template<class Scalar, class Mesh, class Data> struct Rodin::FormLanguage::Traits<Variational::Grad<Variational::GridFunction<Variational::P0g<Math::SpatialMatrix<Scalar>, Mesh>, Data>>>: Rank-three physical gradient range for the matrix P0g solution.
template<class Scalar, class Mesh, class Derived, Variational::ShapeFunctionSpaceType Space> struct Rodin::FormLanguage::Traits<Variational::Grad<Variational::ShapeFunction<Derived, Variational::P0g<Math::SpatialMatrix<Scalar>, Mesh>, Space>>>: Rank-three physical gradient range for matrix P0g shape functions.
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.