Dune::HierarchicalSimplexP2WithElementBubbleLocalBasis< D, R, dim > Class Template Reference

P1 basis in dim-d enriched by quadratic edge bubble functions and an element bubble function of order dim+1. More...

#include <dune/localfunctions/hierarchical/hierarchicalp2withelementbubble/hierarchicalsimplexp2withelementbubble.hh>

Public Types
using	Traits = LocalBasisTraits< D, dim, DomainType, R, 1, RangeType, JacobianType >
	Type traits for function signature.

Static Public Member Functions
static constexpr std::size_t	size () noexcept
	Returns number of shape functions.
static constexpr void	evaluateFunction (const DomainType &in, std::vector< RangeType > &out)
	Evaluate all shape functions.
static constexpr void	evaluateJacobian (const DomainType &in, std::vector< JacobianType > &out)
	Evaluate Jacobian of all shape functions.
static constexpr void	partial (const std::array< unsigned int, dim > &order, const DomainType &in, std::vector< RangeType > &out)
	Evaluate partial derivatives of all shape functions.
static constexpr unsigned int	order () noexcept
	Polynomial order of the shape functions (4 in this case)

Detailed Description

template<class D, class R, int dim>
class Dune::HierarchicalSimplexP2WithElementBubbleLocalBasis< D, R, dim >

P1 basis in dim-d enriched by quadratic edge bubble functions and an element bubble function of order dim+1.

The shape functions are associated to the vertices, the edges centers, and to the element barycenter. The bubble function is the product of the linear vertex basis functions. On the edges the basis functions are scaled by the factor 4 and inside the element by the factor (dim+1)^(dim+1).

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.

---

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

• dune/localfunctions/hierarchical/hierarchicalp2withelementbubble/hierarchicalsimplexp2withelementbubble.hh