3#ifndef DUNE_P1_LOCALBASIS_HH
4#define DUNE_P1_LOCALBASIS_HH
9#include <dune/common/fmatrix.hh>
26 template<
class D,
class R,
int dim>
32 Dune::FieldMatrix<R,1,dim>, 2>
Traits;
42 std::vector<typename Traits::RangeType>& out)
const
46 for (
size_t i=0; i<dim; i++) {
55 std::vector<typename Traits::JacobianType>& out)
const
59 for (
int i=0; i<dim; i++)
62 for (
int i=0; i<dim; i++)
63 for (
int j=0; j<dim; j++)
64 out[i+1][0][j] = (i==j);
75 std::vector<typename Traits::RangeType>& out)
const
77 auto totalOrder = std::accumulate(
order.begin(),
order.end(), 0);
81 else if (totalOrder==1)
83 auto direction = std::find(
order.begin(),
order.end(), 1);
87 for (
int i=0; i<dim; i++)
88 out[i+1] = (i==(direction-
order.begin()));
94 for (
int i=0; i<dim+1; i++)
100 template<
unsigned int k>
101 inline void evaluate (
const typename std::array<int,k>& directions,
103 std::vector<typename Traits::RangeType>& out)
const
112 for (
int i=0; i<dim; i++)
113 out[i+1] = (i==directions[0]);
119 for (
int i=0; i<dim+1; i++)
Definition brezzidouglasmarini1cube2d.hh:14
Type traits for LocalBasisVirtualInterface.
Definition localbasis.hh:38
D DomainType
domain type
Definition localbasis.hh:49
Linear Lagrange shape functions on the simplex.
Definition p1localbasis.hh:28
unsigned int order() const
Polynomial order of the shape functions.
Definition p1localbasis.hh:125
void evaluateFunction(const typename Traits::DomainType &in, std::vector< typename Traits::RangeType > &out) const
Evaluate all shape functions.
Definition p1localbasis.hh:41
void evaluateJacobian(const typename Traits::DomainType &in, std::vector< typename Traits::JacobianType > &out) const
Evaluate Jacobian of all shape functions.
Definition p1localbasis.hh:54
void partial(const std::array< unsigned int, dim > &order, const typename Traits::DomainType &in, std::vector< typename Traits::RangeType > &out) const
Evaluate partial derivatives of any order of all shape functions.
Definition p1localbasis.hh:73
void evaluate(const typename std::array< int, k > &directions, const typename Traits::DomainType &in, std::vector< typename Traits::RangeType > &out) const
Evaluate all shape functions.
Definition p1localbasis.hh:101
unsigned int size() const
number of shape functions
Definition p1localbasis.hh:35
LocalBasisTraits< D, dim, Dune::FieldVector< D, dim >, R, 1, Dune::FieldVector< R, 1 >, Dune::FieldMatrix< R, 1, dim >, 2 > Traits
export type traits for function signature
Definition p1localbasis.hh:32