Dune::HierarchicalP2WithElementBubbleLocalFiniteElement< D, R, dim > Class Template Reference

Linear Lagrange functions enriched with quadratic edge bubble functions and an element bubble function. More...

#include <dune/localfunctions/hierarchical/hierarchicalp2withelementbubble.hh>

Public Types
using	LocalBasisType = HierarchicalSimplexP2WithElementBubbleLocalBasis< D, R, dim >
	Type of the local basis.
using	LocalCoefficientsType = HierarchicalSimplexP2WithElementBubbleLocalCoefficients< dim >
	Type of the local coefficients.
using	LocalInterpolationType = HierarchicalSimplexP2WithElementBubbleLocalInterpolation< LocalBasisType, dim >
	Type of the local interpolation.
using	Traits = LocalFiniteElementTraits< LocalBasisType, LocalCoefficientsType, LocalInterpolationType >
	Traits type that specifies the local basis, coefficients, and interpolation type.

Public Member Functions
const LocalBasisType &	localBasis () const
	Returns the local basis, i.e., the set of shape functions.
const LocalCoefficientsType &	localCoefficients () const
	Returns the assignment of the degrees of freedom to the element subentities.
const LocalInterpolationType &	localInterpolation () const
	Returns object that evaluates degrees of freedom.

Static Public Member Functions
static constexpr std::size_t	size () noexcept
	Returns the number of shape functions in this finite-element.
static constexpr GeometryType	type () noexcept
	Returns the type of the geometry the finite-element is attached to.

Detailed Description

template<class D, class R, int dim>
class Dune::HierarchicalP2WithElementBubbleLocalFiniteElement< D, R, dim >

Linear Lagrange functions enriched with quadratic edge bubble functions and an element bubble function.

The set of basis functions contains the classical Lagrange basis functions of order 1, i.e., the barycentric coordinates, edge bubble functions as the product of two linear functions, and a single element bubble function that vanishes on all faces of the element. The element bubble function is the product of all linear basis functions and thus has polynomial order dim+1.

Note

The implementation here is restricted to simplex elements.

Template Parameters

D	Type to represent the field in the domain.
R	Type to represent the field in the range.
dim	Dimension of the domain.

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The documentation for this class was generated from the following file:

• dune/localfunctions/hierarchical/hierarchicalp2withelementbubble.hh