3#ifndef DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS0_CUBE3D_ALL_HH
4#define DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS0_CUBE3D_ALL_HH
12#include <dune/localfunctions/common/localbasis.hh>
13#include <dune/localfunctions/common/localkey.hh>
14#include <dune/localfunctions/common/localinterpolation.hh>
26 template<
class D,
class R>
36 sign0 = sign1 = sign2 = sign3 = sign4 = sign5 = 1.0;
37 if (s&1) sign0 = -1.0;
38 if (s&2) sign1 = -1.0;
39 if (s&4) sign2 = -1.0;
40 if (s&8) sign3 = -1.0;
41 if (s&16) sign4 = -1.0;
42 if (s&32) sign5 = -1.0;
53 std::vector<typename Traits::RangeType>& out)
const
56 out[0][0] = sign0*(in[0]-1.0); out[0][1]=0.0; out[0][2]=0.0;
57 out[1][0] = sign1*(in[0]); out[1][1]=0.0; out[1][2]=0.0;
58 out[2][0] = 0.0; out[2][1]=sign2*(in[1]-1.0); out[2][2]=0.0;
59 out[3][0] = 0.0; out[3][1]=sign3*(in[1]); out[3][2]=0.0;
60 out[4][0] = 0.0; out[4][1]=0.0; out[4][2]=sign4*(in[2]-1.0);
61 out[5][0] = 0.0; out[5][1]=0.0; out[5][2]=sign5*(in[2]);
67 std::vector<typename Traits::JacobianType>& out)
const
70 out[0][0][0] = sign0; out[0][0][1] = 0; out[0][0][2] = 0;
71 out[0][1][0] = 0; out[0][1][1] = 0; out[0][1][2] = 0;
72 out[0][2][0] = 0; out[0][2][1] = 0; out[0][2][2] = 0;
74 out[1][0][0] = sign1; out[1][0][1] = 0; out[1][0][2] = 0;
75 out[1][1][0] = 0; out[1][1][1] = 0; out[1][1][2] = 0;
76 out[1][2][0] = 0; out[1][2][1] = 0; out[1][2][2] = 0;
78 out[2][0][0] = 0; out[2][0][1] = 0; out[2][0][2] = 0;
79 out[2][1][0] = 0; out[2][1][1] = sign2; out[2][1][2] = 0;
80 out[2][2][0] = 0; out[2][2][1] = 0; out[2][2][2] = 0;
82 out[3][0][0] = 0; out[3][0][1] = 0; out[3][0][2] = 0;
83 out[3][1][0] = 0; out[3][1][1] = sign3; out[3][1][2] = 0;
84 out[3][2][0] = 0; out[3][2][1] = 0; out[3][2][2] = 0;
86 out[4][0][0] = 0; out[4][0][1] = 0; out[4][0][2] = 0;
87 out[4][1][0] = 0; out[4][1][1] = 0; out[4][1][2] = 0;
88 out[4][2][0] = 0; out[4][2][1] = 0; out[4][2][2] = sign4;
90 out[5][0][0] = 0; out[5][0][1] = 0; out[5][0][2] = 0;
91 out[5][1][0] = 0; out[5][1][1] = 0; out[5][1][2] = 0;
92 out[5][2][0] = 0; out[5][2][1] = 0; out[5][2][2] = sign5;
98 std::vector<typename Traits::RangeType>& out)
const
101 if (totalOrder == 0) {
103 }
else if (totalOrder == 1) {
104 auto const direction = std::distance(
order.begin(), std::find(
order.begin(),
order.end(), 1));
107 for (std::size_t i = 0; i <
size(); ++i)
108 out[i][0] = out[i][1] = out[i][2] = 0;
128 for (std::size_t i = 0; i <
size(); ++i)
129 for (std::size_t j = 0; j < 2; ++j)
142 R sign0, sign1, sign2, sign3, sign4, sign5;
161 sign0 = sign1 = sign2 = sign3 = sign4 = sign5 = 1.0;
162 if (s&1) sign0 *= -1.0;
163 if (s&2) sign1 *= -1.0;
164 if (s&4) sign2 *= -1.0;
165 if (s&8) sign3 *= -1.0;
166 if (s&16) sign4 *= -1.0;
167 if (s&32) sign5 *= -1.0;
169 m0[0] = 0.0; m0[1] = 0.5; m0[2] = 0.5;
170 m1[0] = 1.0; m1[1] = 0.5; m1[2] = 0.5;
171 m2[0] = 0.5; m2[1] = 0.0; m2[2] = 0.5;
172 m3[0] = 0.5; m3[1] = 1.0; m3[2] = 0.5;
173 m4[0] = 0.5; m4[1] = 0.5; m4[2] = 0.0;
174 m5[0] = 0.5; m5[1] = 0.5; m5[2] = 1.0;
176 n0[0] = -1.0; n0[1] = 0.0; n0[2] = 0.0;
177 n1[0] = 1.0; n1[1] = 0.0; n1[2] = 0.0;
178 n2[0] = 0.0; n2[1] = -1.0; n2[2] = 0.0;
179 n3[0] = 0.0; n3[1] = 1.0; n3[2] = 0.0;
180 n4[0] = 0.0; n4[1] = 0.0; n4[2] =-1.0;
181 n5[0] = 0.0; n5[1] = 0.0; n5[2] = 1.0;
184 template<
typename F,
typename C>
185 void interpolate (
const F& ff, std::vector<C>& out)
const
188 auto&& f = Impl::makeFunctionWithCallOperator<typename LB::Traits::DomainType>(ff);
192 auto y = f(m0); out[0] = (y[0]*n0[0]+y[1]*n0[1]+y[2]*n0[2])*sign0;
193 y = f(m1); out[1] = (y[0]*n1[0]+y[1]*n1[1]+y[2]*n1[2])*sign1;
194 y = f(m2); out[2] = (y[0]*n2[0]+y[1]*n2[1]+y[2]*n2[2])*sign2;
195 y = f(m3); out[3] = (y[0]*n3[0]+y[1]*n3[1]+y[2]*n3[2])*sign3;
196 y = f(m4); out[4] = (y[0]*n4[0]+y[1]*n4[1]+y[2]*n4[2])*sign4;
197 y = f(m5); out[5] = (y[0]*n5[0]+y[1]*n5[1]+y[2]*n5[2])*sign5;
201 typename LB::Traits::RangeFieldType sign0,sign1,sign2,sign3,sign4,sign5;
202 typename LB::Traits::DomainType m0,m1,m2,m3,m4,m5;
203 typename LB::Traits::DomainType n0,n1,n2,n3,n4,n5;
218 for (std::size_t i=0; i<6; i++)
235 std::vector<LocalKey> li;
A dense n x m matrix.
Definition: fmatrix.hh:69
vector space out of a tensor product of fields.
Definition: fvector.hh:95
Describe position of one degree of freedom.
Definition: localkey.hh:21
Lowest order Raviart-Thomas shape functions on the reference hexahedron.
Definition: raviartthomas0cube3dall.hh:28
unsigned int size() const
number of shape functions
Definition: raviartthomas0cube3dall.hh:46
void evaluateJacobian(const typename Traits::DomainType &in, std::vector< typename Traits::JacobianType > &out) const
Evaluate Jacobian of all shape functions.
Definition: raviartthomas0cube3dall.hh:66
unsigned int order() const
Polynomial order of the shape functions.
Definition: raviartthomas0cube3dall.hh:136
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: raviartthomas0cube3dall.hh:96
RT0Cube3DLocalBasis(unsigned int s=0)
Make set number s, where 0 <= s < 64.
Definition: raviartthomas0cube3dall.hh:34
void evaluateFunction(const typename Traits::DomainType &in, std::vector< typename Traits::RangeType > &out) const
Evaluate all shape functions.
Definition: raviartthomas0cube3dall.hh:52
Layout map for RT0 elements on quadrilaterals.
Definition: raviartthomas0cube3dall.hh:213
RT0Cube3DLocalCoefficients()
Standard constructor.
Definition: raviartthomas0cube3dall.hh:216
std::size_t size() const
number of coefficients
Definition: raviartthomas0cube3dall.hh:223
const LocalKey & localKey(std::size_t i) const
get i'th index
Definition: raviartthomas0cube3dall.hh:229
Lowest order Raviart-Thomas shape functions on the reference hexahedron.
Definition: raviartthomas0cube3dall.hh:155
RT0Cube3DLocalInterpolation(unsigned int s=0)
Make set number s, where 0 <= s < 64.
Definition: raviartthomas0cube3dall.hh:159
Default exception class for range errors.
Definition: exceptions.hh:252
Implements a matrix constructed from a given type representing a field and compile-time given number ...
#define DUNE_THROW(E, m)
Definition: exceptions.hh:216
constexpr T accumulate(Range &&range, T value, F &&f)
Accumulate values.
Definition: hybridutilities.hh:289
Dune namespace.
Definition: alignedallocator.hh:11
Type traits for LocalBasisVirtualInterface.
Definition: localbasis.hh:32
D DomainType
domain type
Definition: localbasis.hh:43