5#ifndef DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS0_PRISM_LOCALBASIS_HH
6#define DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS0_PRISM_LOCALBASIS_HH
11#include <dune/common/fmatrix.hh>
13#include "../../common/localbasis.hh"
26 template<
class D,
class R>
41 for (
size_t i=0; i<
size(); i++)
42 sign[i] = s[i] ? -1.0 : 1.0;
58 std::vector<typename Traits::RangeType>& out)
const
62 out[0] = { in[0], -1.0 + in[1], 0.0};
64 out[1] = { -1.0 + in[0], in[1], 0.0};
66 out[2] = { in[0], in[1], 0.0};
68 out[3] = { 0.0, 0.0, -2.0 + 2.0*in[2]};
70 out[4] = { 0.0, 0.0, 2.0*in[2]};
72 for (std::size_t i=0; i<out.size(); i++)
84 std::vector<typename Traits::JacobianType>& out)
const
88 for(
int i=0; i<
size(); i++)
89 for(
int j=0; j<3; j++)
90 out[i][j] = {0.0, 0.0, 0.0};
92 out[0][0][0] = sign[0];
93 out[0][1][1] = sign[0];
95 out[1][0][0] = sign[1];
96 out[1][1][1] = sign[1];
98 out[2][0][0] = sign[2];
99 out[2][1][1] = sign[2];
101 out[3][2][2] = sign[3]*(2.0);
103 out[4][2][2] = sign[4]*(2.0);
109 std::vector<typename Traits::RangeType>& out)
const
111 auto totalOrder = std::accumulate(
order.begin(),
order.end(), 0);
112 if (totalOrder == 0) {
115 DUNE_THROW(NotImplemented,
"Desired derivative order is not implemented");
126 std::array<R,5> sign;
Definition bdfmcube.hh:18
Type traits for LocalBasisVirtualInterface.
Definition common/localbasis.hh:35
D DomainType
domain type
Definition common/localbasis.hh:43
First order Raviart-Thomas shape functions on the reference prism.
Definition raviartthomas0prismlocalbasis.hh:28
RT0PrismLocalBasis(std::bitset< 5 > s=0)
Make set number s, where 0 <= s < 32.
Definition raviartthomas0prismlocalbasis.hh:39
void evaluateFunction(const typename Traits::DomainType &in, std::vector< typename Traits::RangeType > &out) const
Evaluate all shape functions.
Definition raviartthomas0prismlocalbasis.hh:57
unsigned int size() const
number of shape functions
Definition raviartthomas0prismlocalbasis.hh:46
unsigned int order() const
Polynomial order of the shape functions.
Definition raviartthomas0prismlocalbasis.hh:120
void evaluateJacobian(const typename Traits::DomainType &in, std::vector< typename Traits::JacobianType > &out) const
Evaluate Jacobian of all shape functions.
Definition raviartthomas0prismlocalbasis.hh:83
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.
Definition raviartthomas0prismlocalbasis.hh:107
LocalBasisTraits< D, 3, Dune::FieldVector< D, 3 >, R, 3, Dune::FieldVector< R, 3 >, Dune::FieldMatrix< R, 3, 3 > > Traits
Definition raviartthomas0prismlocalbasis.hh:32