3 #ifndef DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS0_CUBE3D_ALL_HH
4 #define DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS0_CUBE3D_ALL_HH
10 #include <dune/common/fmatrix.hh>
26 template<
class D,
class R>
36 sign0 = sign1 = sign2 = sign3 = sign4 = sign5 = 1.0;
42 sign0 = sign1 = sign2 = sign3 = sign4 = sign5 = 1.0;
43 if (s&1) sign0 = -1.0;
44 if (s&2) sign1 = -1.0;
45 if (s&4) sign2 = -1.0;
46 if (s&8) sign3 = -1.0;
47 if (s&16) sign4 = -1.0;
48 if (s&32) sign5 = -1.0;
59 std::vector<typename Traits::RangeType>& out)
const
62 out[0][0] = sign0*(in[0]-1.0); out[0][1]=0.0; out[0][2]=0.0;
63 out[1][0] = sign1*(in[0]); out[1][1]=0.0; out[1][2]=0.0;
64 out[2][0] = 0.0; out[2][1]=sign2*(in[1]-1.0); out[2][2]=0.0;
65 out[3][0] = 0.0; out[3][1]=sign3*(in[1]); out[3][2]=0.0;
66 out[4][0] = 0.0; out[4][1]=0.0; out[4][2]=sign4*(in[2]-1.0);
67 out[5][0] = 0.0; out[5][1]=0.0; out[5][2]=sign5*(in[2]);
73 std::vector<typename Traits::JacobianType>& out)
const
76 out[0][0][0] = sign0; out[0][0][1] = 0; out[0][0][2] = 0;
77 out[0][1][0] = 0; out[0][1][1] = 0; out[0][1][2] = 0;
78 out[0][2][0] = 0; out[0][2][1] = 0; out[0][2][2] = 0;
80 out[1][0][0] = sign1; out[1][0][1] = 0; out[1][0][2] = 0;
81 out[1][1][0] = 0; out[1][1][1] = 0; out[1][1][2] = 0;
82 out[1][2][0] = 0; out[1][2][1] = 0; out[1][2][2] = 0;
84 out[2][0][0] = 0; out[2][0][1] = 0; out[2][0][2] = 0;
85 out[2][1][0] = 0; out[2][1][1] = sign2; out[2][1][2] = 0;
86 out[2][2][0] = 0; out[2][2][1] = 0; out[2][2][2] = 0;
88 out[3][0][0] = 0; out[3][0][1] = 0; out[3][0][2] = 0;
89 out[3][1][0] = 0; out[3][1][1] = sign3; out[3][1][2] = 0;
90 out[3][2][0] = 0; out[3][2][1] = 0; out[3][2][2] = 0;
92 out[4][0][0] = 0; out[4][0][1] = 0; out[4][0][2] = 0;
93 out[4][1][0] = 0; out[4][1][1] = 0; out[4][1][2] = 0;
94 out[4][2][0] = 0; out[4][2][1] = 0; out[4][2][2] = sign4;
96 out[5][0][0] = 0; out[5][0][1] = 0; out[5][0][2] = 0;
97 out[5][1][0] = 0; out[5][1][1] = 0; out[5][1][2] = 0;
98 out[5][2][0] = 0; out[5][2][1] = 0; out[5][2][2] = sign5;
104 std::vector<typename Traits::RangeType>& out)
const
106 auto totalOrder = std::accumulate(
order.begin(),
order.end(), 0);
107 if (totalOrder == 0) {
109 }
else if (totalOrder == 1) {
110 auto const direction = std::distance(
order.begin(), std::find(
order.begin(),
order.end(), 1));
113 for (std::size_t i = 0; i <
size(); ++i)
114 out[i][0] = out[i][1] = out[i][2] = 0;
130 DUNE_THROW(RangeError,
"Component out of range.");
134 for (std::size_t i = 0; i <
size(); ++i)
135 for (std::size_t j = 0; j < 2; ++j)
148 R sign0, sign1, sign2, sign3, sign4, sign5;
167 sign0 = sign1 = sign2 = sign3 = sign4 = sign5 = 1.0;
173 sign0 = sign1 = sign2 = sign3 = sign4 = sign5 = 1.0;
174 if (s&1) sign0 *= -1.0;
175 if (s&2) sign1 *= -1.0;
176 if (s&4) sign2 *= -1.0;
177 if (s&8) sign3 *= -1.0;
178 if (s&16) sign4 *= -1.0;
179 if (s&32) sign5 *= -1.0;
181 m0[0] = 0.0; m0[1] = 0.5; m0[2] = 0.5;
182 m1[0] = 1.0; m1[1] = 0.5; m1[2] = 0.5;
183 m2[0] = 0.5; m2[1] = 0.0; m2[2] = 0.5;
184 m3[0] = 0.5; m3[1] = 1.0; m3[2] = 0.5;
185 m4[0] = 0.5; m4[1] = 0.5; m4[2] = 0.0;
186 m5[0] = 0.5; m5[1] = 0.5; m5[2] = 1.0;
188 n0[0] = -1.0; n0[1] = 0.0; n0[2] = 0.0;
189 n1[0] = 1.0; n1[1] = 0.0; n1[2] = 0.0;
190 n2[0] = 0.0; n2[1] = -1.0; n2[2] = 0.0;
191 n3[0] = 0.0; n3[1] = 1.0; n3[2] = 0.0;
192 n4[0] = 0.0; n4[1] = 0.0; n4[2] =-1.0;
193 n5[0] = 0.0; n5[1] = 0.0; n5[2] = 1.0;
196 template<
typename F,
typename C>
200 auto&& f = Impl::makeFunctionWithCallOperator<typename LB::Traits::DomainType>(ff);
204 auto y = f(m0); out[0] = (y[0]*n0[0]+y[1]*n0[1]+y[2]*n0[2])*sign0;
205 y = f(m1); out[1] = (y[0]*n1[0]+y[1]*n1[1]+y[2]*n1[2])*sign1;
206 y = f(m2); out[2] = (y[0]*n2[0]+y[1]*n2[1]+y[2]*n2[2])*sign2;
207 y = f(m3); out[3] = (y[0]*n3[0]+y[1]*n3[1]+y[2]*n3[2])*sign3;
208 y = f(m4); out[4] = (y[0]*n4[0]+y[1]*n4[1]+y[2]*n4[2])*sign4;
209 y = f(m5); out[5] = (y[0]*n5[0]+y[1]*n5[1]+y[2]*n5[2])*sign5;
213 typename LB::Traits::RangeFieldType sign0,sign1,sign2,sign3,sign4,sign5;
214 typename LB::Traits::DomainType m0,m1,m2,m3,m4,m5;
215 typename LB::Traits::DomainType n0,n1,n2,n3,n4,n5;
230 for (std::size_t i=0; i<6; i++)
247 std::vector<LocalKey> li;
251 #endif // DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS0_CUBE3D_ALL_HH