3 #ifndef DUNE_RT0TRIANGLELOCALBASIS_HH
4 #define DUNE_RT0TRIANGLELOCALBASIS_HH
8 #include <dune/common/fmatrix.hh>
22 template<
class D,
class R>
32 for (
int i=0; i<3; i++)
33 sign_[i] = s[i] ? -1.0 : 1.0;
44 std::vector<typename Traits::RangeType>& out)
const
47 out[0] = {sign_[0]*in[0], sign_[0]*(in[1]-D(1))};
48 out[1] = {sign_[1]*(in[0]-D(1)), sign_[1]*in[1]};
49 out[2] = {sign_[2]*in[0], sign_[2]*in[1]};
55 std::vector<typename Traits::JacobianType>& out)
const
58 for (
int i=0; i<3; i++)
60 out[i][0] = {sign_[i], 0};
61 out[i][1] = { 0, sign_[i]};
68 std::vector<typename Traits::RangeType>& out)
const
70 auto totalOrder = std::accumulate(
order.begin(),
order.end(), 0);
71 if (totalOrder == 0) {
73 }
else if (totalOrder == 1) {
74 auto const direction = std::distance(
order.begin(), std::find(
order.begin(),
order.end(), 1));
77 for (
int i=0; i<3; i++)
79 out[i][direction] = sign_[i];
80 out[i][1-direction] = 0;
84 for (std::size_t i = 0; i <
size(); ++i)
85 for (std::size_t j = 0; j < 2; ++j)
100 std::array<R,3> sign_;
Definition: bdfmcube.hh:16
Type traits for LocalBasisVirtualInterface.
Definition: common/localbasis.hh:32
D DomainType
domain type
Definition: common/localbasis.hh:43
Lowest order Raviart-Thomas shape functions on the reference triangle.
Definition: raviartthomas02dlocalbasis.hh:24
unsigned int order() const
Polynomial order of the shape functions.
Definition: raviartthomas02dlocalbasis.hh:92
void evaluateJacobian(const typename Traits::DomainType &in, std::vector< typename Traits::JacobianType > &out) const
Evaluate Jacobian of all shape functions.
Definition: raviartthomas02dlocalbasis.hh:54
LocalBasisTraits< D, 2, Dune::FieldVector< D, 2 >, R, 2, Dune::FieldVector< R, 2 >, Dune::FieldMatrix< R, 2, 2 > > Traits
Definition: raviartthomas02dlocalbasis.hh:27
void evaluateFunction(const typename Traits::DomainType &in, std::vector< typename Traits::RangeType > &out) const
Evaluate all shape functions.
Definition: raviartthomas02dlocalbasis.hh:43
unsigned int size() const
number of shape functions
Definition: raviartthomas02dlocalbasis.hh:37
RT02DLocalBasis(std::bitset< 3 > s=0)
Make set number s, where 0 <= s < 8.
Definition: raviartthomas02dlocalbasis.hh:30
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: raviartthomas02dlocalbasis.hh:66