Derivative.h file

Partial derivative operator specialization for P1 functions.

This file provides the partial derivative of scalar P1 GridFunctions.

For a scalar P1 function , the partial derivative with respect to coordinate is computed as:

Derivatives are constant on affine simplices. Other reference geometries and non-affine physical maps may produce point-dependent derivatives.

Namespaces

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

template<class Range, class Data, class Mesh> struct Rodin::FormLanguage::Traits<Variational::Derivative<Variational::GridFunction<Variational::P1<Range, Mesh>, Data>>>: Type traits for Derivative over a grid function: exposes the finite element space, the operand type and the range type.
template<class NestedDerived, class Range, class Mesh, Variational::ShapeFunctionSpaceType Space> struct Rodin::FormLanguage::Traits<Variational::Derivative<Variational::ShapeFunction<NestedDerived, Variational::P1<Range, Mesh>, Space>>>: Type traits for Derivative over a shape function: exposes the finite element space, the shape function space, the operand type and the range type.
template<class Range, class Data, class Mesh> class Rodin::Variational::Derivative<GridFunction<P1<Range, Mesh>, Data>>: Derivative of a P1 GridFunction.