OGS
ShapeQuad9-impl.h
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1
11namespace NumLib
12{
13template <class T_X, class T_N>
14void ShapeQuad9::computeShapeFunction(const T_X& r, T_N& N)
15{
16 N[0] = r[0] * (r[0] + 1) * r[1] * (r[1] + 1) / 4;
17 N[1] = r[0] * (r[0] - 1) * r[1] * (r[1] + 1) / 4;
18 N[2] = r[0] * (r[0] - 1) * r[1] * (r[1] - 1) / 4;
19 N[3] = r[0] * (r[0] + 1) * r[1] * (r[1] - 1) / 4;
20 N[4] = r[1] * (r[1] + 1) * (1 - r[0] * r[0]) / 2;
21 N[5] = r[0] * (r[0] - 1) * (1 - r[1] * r[1]) / 2;
22 N[6] = r[1] * (r[1] - 1) * (1 - r[0] * r[0]) / 2;
23 N[7] = r[0] * (r[0] + 1) * (1 - r[1] * r[1]) / 2;
24 N[8] = (1 - r[0] * r[0]) * (1 - r[1] * r[1]);
25}
26
27template <class T_X, class T_N>
28void ShapeQuad9::computeGradShapeFunction(const T_X& r, T_N& dN)
29{
30 dN[0] = (r[0] + 0.5) * r[1] * (r[1] + 1) / 2;
31 dN[1] = (r[0] - 0.5) * r[1] * (r[1] + 1) / 2;
32 dN[2] = (r[0] - 0.5) * r[1] * (r[1] - 1) / 2;
33 dN[3] = (r[0] + 0.5) * r[1] * (r[1] - 1) / 2;
34 dN[4] = -r[0] * r[1] * (1 + r[1]);
35 dN[5] = (1 - r[1] * r[1]) * (r[0] - 0.5);
36 dN[6] = r[0] * r[1] * (1 - r[1]);
37 dN[7] = (1 - r[1] * r[1]) * (r[0] + 0.5);
38 dN[8] = 2 * r[0] * (r[1] * r[1] - 1);
39
40 dN[10] = (r[1] + 0.5) * r[0] * (r[0] - 1) / 2;
41 dN[11] = (r[1] - 0.5) * r[0] * (r[0] - 1) / 2;
42 dN[12] = (r[1] - 0.5) * r[0] * (r[0] + 1) / 2;
43 dN[13] = (1 - r[0] * r[0]) * (r[1] + 0.5);
44 dN[14] = r[0] * r[1] * (1 - r[0]);
45 dN[15] = (1 - r[0] * r[0]) * (r[1] - 0.5);
46 dN[16] = -r[0] * r[1] * (1 + r[0]);
47 dN[17] = 2 * r[1] * (r[0] * r[0] - 1);
48 dN[9] = (r[1] + 0.5) * r[0] * (r[0] + 1) / 2;
49}
50} // namespace NumLib
NumLib::ShapeQuad9::computeShapeFunction
static void computeShapeFunction(const T_X &r, T_N &N)
Definition ShapeQuad9-impl.h:14
NumLib::ShapeQuad9::computeGradShapeFunction
static void computeGradShapeFunction(const T_X &r, T_N &dN)
Definition ShapeQuad9-impl.h:28