3 #ifndef DUNE_PYRAMID_P1_LOCALBASIS_HH 4 #define DUNE_PYRAMID_P1_LOCALBASIS_HH 6 #include <dune/common/fmatrix.hh> 23 template<
class D,
class R>
39 std::vector<typename Traits::RangeType>& out)
const 45 out[0] = (1-in[0])*(1-in[1])-in[2]*(1-in[1]);
46 out[1] = in[0]*(1-in[1])-in[2]*in[1];
47 out[2] = (1-in[0])*in[1]-in[2]*in[1];
48 out[3] = in[0]*in[1]+in[2]*in[1];
52 out[0] = (1-in[0])*(1-in[1])-in[2]*(1-in[0]);
53 out[1] = in[0]*(1-in[1])-in[2]*in[0];
54 out[2] = (1-in[0])*in[1]-in[2]*in[0];
55 out[3] = in[0]*in[1]+in[2]*in[0];
67 std::vector<typename Traits::JacobianType>& out)
const 73 out[0][0][0] = -1 + in[1]; out[0][0][1] = -1 + in[0] + in[2]; out[0][0][2] = -1 + in[1];
74 out[1][0][0] = 1 - in[1]; out[1][0][1] = -in[0] - in[2]; out[1][0][2] = -in[1];
75 out[2][0][0] = -in[1]; out[2][0][1] = 1 - in[0] - in[2]; out[2][0][2] = -in[1];
76 out[3][0][0] = in[1]; out[3][0][1] = in[0]+in[2]; out[3][0][2] = in[1];
80 out[0][0][0] = -1 + in[1] + in[2]; out[0][0][1] = -1 + in[0]; out[0][0][2] = -1 + in[0];
81 out[1][0][0] = 1 - in[1] - in[2]; out[1][0][1] = -in[0]; out[1][0][2] = -in[0];
82 out[2][0][0] = -in[1] - in[2]; out[2][0][1] = 1 - in[0]; out[2][0][2] = -in[0];
83 out[3][0][0] = in[1] + in[2]; out[3][0][1] = in[0]; out[3][0][2] = in[0];
87 out[4][0][0] = 0; out[4][0][1] = 0; out[4][0][2] = 1;
Type traits for LocalBasisVirtualInterface.
Definition: localbasis.hh:37
void evaluateFunction(const typename Traits::DomainType &in, std::vector< typename Traits::RangeType > &out) const
Evaluate all shape functions.
Definition: pyramidp1localbasis.hh:38
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
Definition: pyramidp1localbasis.hh:29
void evaluateJacobian(const typename Traits::DomainType &in, std::vector< typename Traits::JacobianType > &out) const
Evaluate Jacobian of all shape functions.
Definition: pyramidp1localbasis.hh:66
Definition: brezzidouglasmarini1cube2dlocalbasis.hh:14
unsigned int order() const
Polynomial order of the shape functions.
Definition: pyramidp1localbasis.hh:91
D DomainType
domain type
Definition: localbasis.hh:49
Linear Lagrange shape functions on the pyramid.
Definition: pyramidp1localbasis.hh:24
unsigned int size() const
number of shape functions
Definition: pyramidp1localbasis.hh:32