Dune Core Modules (2.8.0)
Dune::HierarchicalSimplexP2WithElementBubbleLocalBasis< D, R, 3 > Class Template Reference
Hierarchical P2 basis in 1d. More...
Public Types | |
typedef LocalBasisTraits< D, 3, Dune::FieldVector< D, 3 >, R, 1, Dune::FieldVector< R, 1 >, Dune::FieldMatrix< R, 1, 3 > > | Traits |
export type traits for function signature | |
Public Member Functions | |
unsigned int | size () const |
number of shape functions | |
void | evaluateFunction (const typename Traits::DomainType &in, std::vector< typename Traits::RangeType > &out) const |
Evaluate all shape functions. | |
void | evaluateJacobian (const typename Traits::DomainType &in, std::vector< typename Traits::JacobianType > &out) const |
Evaluate Jacobian of all shape functions. | |
void | partial (const std::array< unsigned int, 3 > &order, const typename Traits::DomainType &in, std::vector< typename Traits::RangeType > &out) const |
Evaluate partial derivatives of all shape functions. | |
unsigned int | order () const |
Polynomial order of the shape functions (4 in this case) | |
Detailed Description
template<class D, class R>
class Dune::HierarchicalSimplexP2WithElementBubbleLocalBasis< D, R, 3 >
class Dune::HierarchicalSimplexP2WithElementBubbleLocalBasis< D, R, 3 >
Hierarchical P2 basis in 1d.
The shape functions are associated to the following points:
The functions are associated to points by:
f_0 ~ (0.0, 0.0, 0.0) f_1 ~ (0.5, 0.0, 0.0) f_2 ~ (1.0, 0.0, 0.0) f_3 ~ (0.0, 0.5, 0.0) f_4 ~ (0.5, 0.5, 0.0) f_5 ~ (0.0, 1.0, 0.0) f_6 ~ (0.0, 0.0, 0.5) f_7 ~ (0.5, 0.0, 0.5) f_8 ~ (0.0, 0.5, 0.5) f_9 ~ (0.0, 0.0, 1.0) f_10 ~ (1/3, 1/3, 1/3)
- Template Parameters
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D Type to represent the field in the domain. R Type to represent the field in the range.
The documentation for this class was generated from the following file:
- dune/localfunctions/hierarchical/hierarchicalp2withelementbubble/hierarchicalsimplexp2withelementbubble.hh
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