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Hierarchical P2 basis in 1d. More...
Public Types | |
typedef LocalBasisTraits< D, 2, Dune::FieldVector< D, 2 > , R, 1, Dune::FieldVector< R, 1 > , Dune::FieldMatrix< R, 1, 2 > > | 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. | |
unsigned int | order () const |
Polynomial order of the shape functions (3 in this case). |
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) f_1 ~ (0.5, 0.0) f_2 ~ (1.0, 0.0) f_3 ~ (0.0, 0.5) f_4 ~ (0.5, 0.5) f_5 ~ (0.0, 1.0) f_6 ~ (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,2,Dune::FieldVector<D,2>,R,1,Dune::FieldVector<R,1>, Dune::FieldMatrix<R,1,2> > Dune::HierarchicalSimplexP2WithElementBubbleLocalBasis< D, R, 2 >::Traits |
export type traits for function signature
void Dune::HierarchicalSimplexP2WithElementBubbleLocalBasis< D, R, 2 >::evaluateFunction | ( | const typename Traits::DomainType & | in, | |
std::vector< typename Traits::RangeType > & | out | |||
) | const [inline] |
Evaluate all shape functions.
void Dune::HierarchicalSimplexP2WithElementBubbleLocalBasis< D, R, 2 >::evaluateJacobian | ( | const typename Traits::DomainType & | in, | |
std::vector< typename Traits::JacobianType > & | out | |||
) | const [inline] |
Evaluate Jacobian of all shape functions.
unsigned int Dune::HierarchicalSimplexP2WithElementBubbleLocalBasis< D, R, 2 >::order | ( | ) | const [inline] |
Polynomial order of the shape functions (3 in this case).
unsigned int Dune::HierarchicalSimplexP2WithElementBubbleLocalBasis< D, R, 2 >::size | ( | ) | const [inline] |
number of shape functions
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