dune-localfunctions
2.2.1
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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 More... | |
Public Member Functions | |
unsigned int | size () const |
number of shape functions More... | |
void | evaluateFunction (const typename Traits::DomainType &in, std::vector< typename Traits::RangeType > &out) const |
Evaluate all shape functions. More... | |
void | evaluateJacobian (const typename Traits::DomainType &in, std::vector< typename Traits::JacobianType > &out) const |
Evaluate Jacobian of all shape functions. More... | |
unsigned int | order () const |
Polynomial order of the shape functions (4 in this case) More... | |
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)
D | Type to represent the field in the domain. |
R | Type to represent the field in the range. |
typedef LocalBasisTraits<D,3,Dune::FieldVector<D,3>,R,1,Dune::FieldVector<R,1>, Dune::FieldMatrix<R,1,3> > Dune::HierarchicalSimplexP2WithElementBubbleLocalBasis< D, R, 3 >::Traits |
export type traits for function signature
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inline |
Evaluate all shape functions.
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inline |
Evaluate Jacobian of all shape functions.
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inline |
Polynomial order of the shape functions (4 in this case)
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inline |
number of shape functions