dune-localfunctions 2.10
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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. | |
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
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D | Type to represent the field in the domain. |
R | Type to represent the field in the range. |
dim | Dimension of the domain. |
using Dune::HierarchicalP2WithElementBubbleLocalFiniteElement< D, R, dim >::LocalBasisType = HierarchicalSimplexP2WithElementBubbleLocalBasis<D,R,dim> |
Type of the local basis.
using Dune::HierarchicalP2WithElementBubbleLocalFiniteElement< D, R, dim >::LocalCoefficientsType = HierarchicalSimplexP2WithElementBubbleLocalCoefficients<dim> |
Type of the local coefficients.
using Dune::HierarchicalP2WithElementBubbleLocalFiniteElement< D, R, dim >::LocalInterpolationType = HierarchicalSimplexP2WithElementBubbleLocalInterpolation<LocalBasisType,dim> |
Type of the local interpolation.
using Dune::HierarchicalP2WithElementBubbleLocalFiniteElement< D, R, dim >::Traits = LocalFiniteElementTraits<LocalBasisType,LocalCoefficientsType,LocalInterpolationType> |
Traits type that specifies the local basis, coefficients, and interpolation type.
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inline |
Returns the local basis, i.e., the set of shape functions.
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inline |
Returns the assignment of the degrees of freedom to the element subentities.
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inline |
Returns object that evaluates degrees of freedom.
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inlinestaticconstexprnoexcept |
Returns the number of shape functions in this finite-element.
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inlinestaticconstexprnoexcept |
Returns the type of the geometry the finite-element is attached to.