P0gElement.h file
P0g (global constant) finite element implementation.
IMPORTANT:
- P0g is a space with 1 global DOF (scalar) or vdim global DOFs (vector), but its element is still the constant basis function on each cell.
This element is therefore essentially identical to P0Element:
- Scalar basis: phi(x) = 1
- Vector basis: phi_i(x) = e_i (constant unit vectors)
- All derivatives are zero.
Having a dedicated P0gElement is mostly for naming/clarity and to decouple P0g from P0Element headers if you prefer.
Namespaces
- namespace Rodin
- The Rodin library for finite element methods and shape optimization.
- namespace Rodin::FormLanguage
- Namespace Rodin::
FormLanguage. - namespace Rodin::Variational
- Namespace Rodin::
Variational.
Classes
-
template<class Range>struct Rodin::FormLanguage::Traits<Variational::P0gElement<Range>>
- Type traits for
P0gElement:exposes the scalar type and the range type. -
template<class Scalar>class Rodin::Variational::P0gElement
- Forward declaration of global P0 finite elements.
- class Rodin::Variational::P0gElement::LinearForm
- Degree-of-freedom functional of the P0g element.
- class Rodin::Variational::P0gElement::BasisFunction
- Basis function of the P0g element.
-
template<size_t Order>class Rodin::Variational::P0gElement::BasisFunction::DerivativeFunction
- Derivative of a P0g basis function, identically zero.
-
template<class Scalar>class Rodin::Variational::P0gElement<Math::SpatialVector<Scalar>>
- Vector-valued cellwise-constant finite element.
- class Rodin::Variational::P0gElement<Math::SpatialVector<Scalar>>::LinearForm
- Degree-of-freedom functional of the vector-valued P0g element.
- class Rodin::Variational::P0gElement<Math::SpatialVector<Scalar>>::BasisFunction
- Basis function of the vector-valued P0g element.
-
template<size_t Order>class Rodin::Variational::P0gElement<Math::SpatialVector<Scalar>>::BasisFunction::DerivativeFunction
- Derivative of a vector-valued P0g basis function, identically zero.