H1Element.h file
Defines the H1Element class for H1-conforming Lagrange finite elements.
This file provides the implementation of high-order H1-conforming Lagrange finite elements. These elements are characterized by:
- Continuous basis functions (H¹-conforming)
- Lagrange nodal property:
- Arbitrary polynomial degree K
- Support for scalar and vector-valued fields
Namespaces
- namespace Rodin
- The Rodin library for Shape and Topology Optimization.
- namespace Rodin::FormLanguage
- Module for writing high level abstract expressions.
- namespace Rodin::Variational
- Module which provides the necessary tools for constructing variational problems.
Classes
-
template<size_t K, class Scalar>class Rodin::Variational::H1Element
- Degree k H1-conforming Lagrange element.
- class Rodin::Variational::H1Element::LinearForm
- Evaluates linear form at a given function/vector field.
- class Rodin::Variational::H1Element::BasisFunction
- Represents a Lagrange basis function of degree K.
-
template<size_t Order>class Rodin::Variational::H1Element::BasisFunction::DerivativeFunction
- Represents a partial derivative of a basis function.
- class Rodin::Variational::H1Element::BasisFunction::GradientFunction
- Represents the gradient of a basis function.
-
template<size_t K, class Scalar>class Rodin::Variational::H1Element<K, Math::Vector<Scalar>>
- Continuous H1-conforming piecewise polynomial (degree k) vector Lagrange element.
-
template<size_t Order>class Rodin::Variational::H1Element<K, Math::Vector<Scalar>>::BasisFunction::DerivativeFunction
- Represents a derivative function of a Pk vector element.