5#ifndef DUNE_RANNACHER_TUREK_2D_LOCALBASIS_HH
6#define DUNE_RANNACHER_TUREK_2D_LOCALBASIS_HH
11#include <dune/common/fvector.hh>
12#include <dune/common/fmatrix.hh>
19 template<
class D,
class R >
23 R, 1, FieldVector< R, 1 >,
34 std::vector< typename Traits::RangeType > &out )
const
38 out[0] = .75 - 2*in[0] + in[1] + qbase;
39 out[1] = -.25 + in[1] + qbase;
40 out[2] = .75 + in[0] - 2*in[1] - qbase;
41 out[3] = -.25 + in[0] - qbase;
46 std::vector< typename Traits::JacobianType > &out )
const
53 out[0][0][0] = -2 + 2*in[0]; out[0][0][1] = 1 - 2*in[1];
54 out[1][0][0] = 2*in[0]; out[1][0][1] = 1 - 2*in[1];
55 out[2][0][0] = 1 - 2*in[0]; out[2][0][1] = -2 + 2*in[1];
56 out[3][0][0] = 1 - 2*in[0]; out[3][0][1] = 2*in[1];
62 std::vector<typename Traits::RangeType>& out)
const
64 auto totalOrder = std::accumulate(
order.begin(),
order.end(), 0);
65 if (totalOrder == 0) {
67 }
else if (totalOrder == 1) {
68 auto const direction = std::distance(
order.begin(), std::find(
order.begin(),
order.end(), 1));
73 out[0] = -2 + 2*in[0];
81 out[2] = -2 + 2*in[1];
85 DUNE_THROW(RangeError,
"Component out of range.");
87 }
else if (totalOrder == 2) {
88 auto const direction = std::distance(
order.begin(), std::find(
order.begin(),
order.end(), 2));
101 out[0] = out[1] = out[2] = out[3] = 0;
105 out[0] = out[1] = out[2] = out[3] = 0;
Definition bdfmcube.hh:18
Type traits for LocalBasisVirtualInterface.
Definition common/localbasis.hh:34
D DomainType
domain type
Definition common/localbasis.hh:42
DF DomainFieldType
Export type for domain field.
Definition common/localbasis.hh:36
Definition rannacherturek2dlocalbasis.hh:21
LocalBasisTraits< D, 2, FieldVector< D, 2 >, R, 1, FieldVector< R, 1 >, FieldMatrix< R, 1, 2 > > Traits
Definition rannacherturek2dlocalbasis.hh:24
void partial(const std::array< unsigned int, 2 > &order, const typename Traits::DomainType &in, std::vector< typename Traits::RangeType > &out) const
Evaluate partial derivatives of all shape functions.
Definition rannacherturek2dlocalbasis.hh:60
unsigned int size() const
number of shape functions
Definition rannacherturek2dlocalbasis.hh:27
void evaluateFunction(const typename Traits::DomainType &in, std::vector< typename Traits::RangeType > &out) const
evaluate all shape functions
Definition rannacherturek2dlocalbasis.hh:33
unsigned int order() const
polynomial order of the shape functions
Definition rannacherturek2dlocalbasis.hh:110
void evaluateJacobian(const typename Traits::DomainType &in, std::vector< typename Traits::JacobianType > &out) const
evaluate jacobian of all shape functions
Definition rannacherturek2dlocalbasis.hh:45