DUNE-FEM (unstable)
Dune::HierarchicalSimplexP2LocalBasis< D, R, 3 > Class Template Reference
Hierarchical P2 basis in 3d. More...
#include <dune/localfunctions/hierarchical/hierarchicalp2/hierarchicalsimplexp2localbasis.hh>
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 (2 in this case) | |
Detailed Description
template<class D, class R>
class Dune::HierarchicalSimplexP2LocalBasis< D, R, 3 >
class Dune::HierarchicalSimplexP2LocalBasis< D, R, 3 >
Hierarchical P2 basis in 3d.
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)
- Template Parameters
-
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/hierarchicalp2/hierarchicalsimplexp2localbasis.hh
|
Legal Statements / Impressum |
Hosted by TU Dresden |
generated with Hugo v0.111.3
(Nov 12, 23:30, 2024)