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FEATool Multiphysics
v1.17.1
Finite Element Analysis Toolbox
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FEATool Multiphysics
v1.17.1
Finite Element Analysis Toolbox
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SF_HEX_Q4 Triquartic conforming shape function for hexahedrons (Q4).
[ VBASE, NLDOF, XLDOF, SFUN ] = SF_HEX_Q4( I_EVAL, N_SDIM, N_VERT, I_DOF, XI, AINVJAC, VBASE ) Evaluates conforming triquartic Q4 shape functions on hexahedrons with values defined in the nodes, edges, faces, and cell center. XI is [-1..1]^3 reference coordinates.
Input Value/[Size] Description
-----------------------------------------------------------------------------------
i_eval scalar: 1 Evaluate function values
>1 Evaluate values of derivatives
n_sdim scalar: 3 Number of space dimensions
n_vert scalar: 8 Number of vertices per cell
i_dof scalar: 1-n_ldof Local basis function to evaluate
xi [n_sdim] Local coordinates of evaluation point
aInvJac [n,n_sdim*n_sdim] Inverse of transformation Jacobian
vBase [n] Preallocated output vector
.
Output Value/[Size] Description
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vBase [n] Evaluated function values
nLDof [4] Number of local degrees of freedom on
vertices, edges, faces, and cell interiors
xLDof [n_sdim,n_ldof] Local coordinates of local dofs
sfun string Function name of called shape function
nLDof = [8 36 54 27];
xLDof = [-1 1 1 -1 -1 1 1 -1 -1/2 1 1/2 -1 -1 1 1 -1 -1/2 1 1/2 -1 0 1 0 -1 -1 1 1 -1 0 1 0 -1 1/2 1 -1/2 -1 -1 1 1 -1 1/2 1 -1/2 -1 -1/2 -1/2 1 1/2 -1 -1/2 0 0 1 0 -1 0 1/2 1/2 1 -1/2 -1 1/2 1/2 1/2 1 -1/2 -1 1/2 1/2 1/2 1 -1/2 -1 1/2 0 0 1 0 -1 0 -1/2 -1/2 1 1/2 -1 -1/2 -1/2 -1/2 1 1/2 -1 -1/2 0 0 1 0 -1 0 -1/2 0 1/2 -1/2 0 1/2 -1/2 0 1/2 -1/2 0 1/2 -1/2 0 1/2 -1/2 0 1/2 -1/2 0 1/2 -1/2 0 1/2 -1/2 0 1/2;
-1 -1 1 1 -1 -1 1 1 -1 -1/2 1 1/2 -1 -1 1 1 -1 -1/2 1 1/2 -1 0 1 0 -1 -1 1 1 -1 0 1 0 -1 1/2 1 -1/2 -1 -1 1 1 -1 1/2 1 -1/2 -1/2 -1 -1/2 1 1/2 -1/2 -1/2 -1 0 1 0 -1/2 -1/2 -1 1/2 1 -1/2 -1/2 0 -1 1/2 1 -1/2 0 1/2 -1 1/2 1 -1/2 1/2 1/2 -1 0 1 0 1/2 1/2 -1 -1/2 1 1/2 1/2 0 -1 -1/2 1 1/2 0 0 -1 0 1 0 0 -1/2 -1/2 -1/2 0 0 0 1/2 1/2 1/2 -1/2 -1/2 -1/2 0 0 0 1/2 1/2 1/2 -1/2 -1/2 -1/2 0 0 0 1/2 1/2 1/2;
-1 -1 -1 -1 1 1 1 1 -1 -1 -1 -1 -1/2 -1/2 -1/2 -1/2 1 1 1 1 -1 -1 -1 -1 0 0 0 0 1 1 1 1 -1 -1 -1 -1 1/2 1/2 1/2 1/2 1 1 1 1 -1 -1/2 -1/2 -1/2 -1/2 1 -1 -1/2 -1/2 -1/2 -1/2 1 -1 -1/2 -1/2 -1/2 -1/2 1 -1 0 0 0 0 1 -1 1/2 1/2 1/2 1/2 1 -1 1/2 1/2 1/2 1/2 1 -1 1/2 1/2 1/2 1/2 1 -1 0 0 0 0 1 -1 0 0 0 0 1 -1/2 -1/2 -1/2 -1/2 -1/2 -1/2 -1/2 -1/2 -1/2 0 0 0 0 0 0 0 0 0 1/2 1/2 1/2 1/2 1/2 1/2 1/2 1/2 1/2];
sfun = 'sf_hex_Q4';
switch i_eval
case 1
switch i_dof
case 1
vBase = -(xi(1)*xi(2)*xi(3)*(- 4*xi(1)^3 + 4*xi(1)^2 + xi(1) - 1)*(- 4*xi(2)^3 + 4*xi(2)^2 + xi(2) - 1)*(- 4*xi(3)^3 + 4*xi(3)^2 + xi(3) - 1))/216;
case 2
vBase = -(xi(1)*xi(2)*xi(3)*(- 4*xi(1)^3 - 4*xi(1)^2 + xi(1) + 1)*(- 4*xi(2)^3 + 4*xi(2)^2 + xi(2) - 1)*(- 4*xi(3)^3 + 4*xi(3)^2 + xi(3) - 1))/216;
case 3
vBase = -(xi(1)*xi(2)*xi(3)*(- 4*xi(1)^3 - 4*xi(1)^2 + xi(1) + 1)*(- 4*xi(2)^3 - 4*xi(2)^2 + xi(2) + 1)*(- 4*xi(3)^3 + 4*xi(3)^2 + xi(3) - 1))/216;
case 4
vBase = -(xi(1)*xi(2)*xi(3)*(- 4*xi(1)^3 + 4*xi(1)^2 + xi(1) - 1)*(- 4*xi(2)^3 - 4*xi(2)^2 + xi(2) + 1)*(- 4*xi(3)^3 + 4*xi(3)^2 + xi(3) - 1))/216;
case 5
vBase = -(xi(1)*xi(2)*xi(3)*(- 4*xi(1)^3 + 4*xi(1)^2 + xi(1) - 1)*(- 4*xi(2)^3 + 4*xi(2)^2 + xi(2) - 1)*(- 4*xi(3)^3 - 4*xi(3)^2 + xi(3) + 1))/216;
case 6
vBase = -(xi(1)*xi(2)*xi(3)*(- 4*xi(1)^3 - 4*xi(1)^2 + xi(1) + 1)*(- 4*xi(2)^3 + 4*xi(2)^2 + xi(2) - 1)*(- 4*xi(3)^3 - 4*xi(3)^2 + xi(3) + 1))/216;
case 7
vBase = -(xi(1)*xi(2)*xi(3)*(- 4*xi(1)^3 - 4*xi(1)^2 + xi(1) + 1)*(- 4*xi(2)^3 - 4*xi(2)^2 + xi(2) + 1)*(- 4*xi(3)^3 - 4*xi(3)^2 + xi(3) + 1))/216;
case 8
vBase = -(xi(1)*xi(2)*xi(3)*(- 4*xi(1)^3 + 4*xi(1)^2 + xi(1) - 1)*(- 4*xi(2)^3 - 4*xi(2)^2 + xi(2) + 1)*(- 4*xi(3)^3 - 4*xi(3)^2 + xi(3) + 1))/216;
case 9
vBase = (xi(1)*xi(2)*xi(3)*(- 2*xi(1)^3 + xi(1)^2 + 2*xi(1) - 1)*(- 4*xi(2)^3 + 4*xi(2)^2 + xi(2) - 1)*(- 4*xi(3)^3 + 4*xi(3)^2 + xi(3) - 1))/27;
case 10
vBase = (xi(1)*xi(2)*xi(3)*(- 4*xi(1)^3 - 4*xi(1)^2 + xi(1) + 1)*(- 2*xi(2)^3 + xi(2)^2 + 2*xi(2) - 1)*(- 4*xi(3)^3 + 4*xi(3)^2 + xi(3) - 1))/27;
case 11
vBase = (xi(1)*xi(2)*xi(3)*(- 4*xi(2)^3 - 4*xi(2)^2 + xi(2) + 1)*(- 4*xi(3)^3 + 4*xi(3)^2 + xi(3) - 1)*(- 2*xi(1)^3 - xi(1)^2 + 2*xi(1) + 1))/27;
case 12
vBase = (xi(1)*xi(2)*xi(3)*(- 4*xi(1)^3 + 4*xi(1)^2 + xi(1) - 1)*(- 4*xi(3)^3 + 4*xi(3)^2 + xi(3) - 1)*(- 2*xi(2)^3 - xi(2)^2 + 2*xi(2) + 1))/27;
case 13
vBase = (xi(1)*xi(2)*xi(3)*(- 4*xi(1)^3 + 4*xi(1)^2 + xi(1) - 1)*(- 4*xi(2)^3 + 4*xi(2)^2 + xi(2) - 1)*(- 2*xi(3)^3 + xi(3)^2 + 2*xi(3) - 1))/27;
case 14
vBase = (xi(1)*xi(2)*xi(3)*(- 4*xi(1)^3 - 4*xi(1)^2 + xi(1) + 1)*(- 4*xi(2)^3 + 4*xi(2)^2 + xi(2) - 1)*(- 2*xi(3)^3 + xi(3)^2 + 2*xi(3) - 1))/27;
case 15
vBase = (xi(1)*xi(2)*xi(3)*(- 4*xi(1)^3 - 4*xi(1)^2 + xi(1) + 1)*(- 4*xi(2)^3 - 4*xi(2)^2 + xi(2) + 1)*(- 2*xi(3)^3 + xi(3)^2 + 2*xi(3) - 1))/27;
case 16
vBase = (xi(1)*xi(2)*xi(3)*(- 4*xi(1)^3 + 4*xi(1)^2 + xi(1) - 1)*(- 4*xi(2)^3 - 4*xi(2)^2 + xi(2) + 1)*(- 2*xi(3)^3 + xi(3)^2 + 2*xi(3) - 1))/27;
case 17
vBase = (xi(1)*xi(2)*xi(3)*(- 2*xi(1)^3 + xi(1)^2 + 2*xi(1) - 1)*(- 4*xi(2)^3 + 4*xi(2)^2 + xi(2) - 1)*(- 4*xi(3)^3 - 4*xi(3)^2 + xi(3) + 1))/27;
case 18
vBase = (xi(1)*xi(2)*xi(3)*(- 4*xi(1)^3 - 4*xi(1)^2 + xi(1) + 1)*(- 2*xi(2)^3 + xi(2)^2 + 2*xi(2) - 1)*(- 4*xi(3)^3 - 4*xi(3)^2 + xi(3) + 1))/27;
case 19
vBase = (xi(1)*xi(2)*xi(3)*(- 4*xi(2)^3 - 4*xi(2)^2 + xi(2) + 1)*(- 4*xi(3)^3 - 4*xi(3)^2 + xi(3) + 1)*(- 2*xi(1)^3 - xi(1)^2 + 2*xi(1) + 1))/27;
case 20
vBase = (xi(1)*xi(2)*xi(3)*(- 4*xi(1)^3 + 4*xi(1)^2 + xi(1) - 1)*(- 4*xi(3)^3 - 4*xi(3)^2 + xi(3) + 1)*(- 2*xi(2)^3 - xi(2)^2 + 2*xi(2) + 1))/27;
case 21
vBase = (xi(2)*xi(3)*(4*xi(1)^4 - 5*xi(1)^2 + 1)*(- 4*xi(2)^3 + 4*xi(2)^2 + xi(2) - 1)*(- 4*xi(3)^3 + 4*xi(3)^2 + xi(3) - 1))/36;
case 22
vBase = (xi(1)*xi(3)*(4*xi(2)^4 - 5*xi(2)^2 + 1)*(- 4*xi(1)^3 - 4*xi(1)^2 + xi(1) + 1)*(- 4*xi(3)^3 + 4*xi(3)^2 + xi(3) - 1))/36;
case 23
vBase = (xi(2)*xi(3)*(4*xi(1)^4 - 5*xi(1)^2 + 1)*(- 4*xi(2)^3 - 4*xi(2)^2 + xi(2) + 1)*(- 4*xi(3)^3 + 4*xi(3)^2 + xi(3) - 1))/36;
case 24
vBase = (xi(1)*xi(3)*(4*xi(2)^4 - 5*xi(2)^2 + 1)*(- 4*xi(1)^3 + 4*xi(1)^2 + xi(1) - 1)*(- 4*xi(3)^3 + 4*xi(3)^2 + xi(3) - 1))/36;
case 25
vBase = (xi(1)*xi(2)*(4*xi(3)^4 - 5*xi(3)^2 + 1)*(- 4*xi(1)^3 + 4*xi(1)^2 + xi(1) - 1)*(- 4*xi(2)^3 + 4*xi(2)^2 + xi(2) - 1))/36;
case 26
vBase = (xi(1)*xi(2)*(4*xi(3)^4 - 5*xi(3)^2 + 1)*(- 4*xi(1)^3 - 4*xi(1)^2 + xi(1) + 1)*(- 4*xi(2)^3 + 4*xi(2)^2 + xi(2) - 1))/36;
case 27
vBase = (xi(1)*xi(2)*(4*xi(3)^4 - 5*xi(3)^2 + 1)*(- 4*xi(1)^3 - 4*xi(1)^2 + xi(1) + 1)*(- 4*xi(2)^3 - 4*xi(2)^2 + xi(2) + 1))/36;
case 28
vBase = (xi(1)*xi(2)*(4*xi(3)^4 - 5*xi(3)^2 + 1)*(- 4*xi(1)^3 + 4*xi(1)^2 + xi(1) - 1)*(- 4*xi(2)^3 - 4*xi(2)^2 + xi(2) + 1))/36;
case 29
vBase = (xi(2)*xi(3)*(4*xi(1)^4 - 5*xi(1)^2 + 1)*(- 4*xi(2)^3 + 4*xi(2)^2 + xi(2) - 1)*(- 4*xi(3)^3 - 4*xi(3)^2 + xi(3) + 1))/36;
case 30
vBase = (xi(1)*xi(3)*(4*xi(2)^4 - 5*xi(2)^2 + 1)*(- 4*xi(1)^3 - 4*xi(1)^2 + xi(1) + 1)*(- 4*xi(3)^3 - 4*xi(3)^2 + xi(3) + 1))/36;
case 31
vBase = (xi(2)*xi(3)*(4*xi(1)^4 - 5*xi(1)^2 + 1)*(- 4*xi(2)^3 - 4*xi(2)^2 + xi(2) + 1)*(- 4*xi(3)^3 - 4*xi(3)^2 + xi(3) + 1))/36;
case 32
vBase = (xi(1)*xi(3)*(4*xi(2)^4 - 5*xi(2)^2 + 1)*(- 4*xi(1)^3 + 4*xi(1)^2 + xi(1) - 1)*(- 4*xi(3)^3 - 4*xi(3)^2 + xi(3) + 1))/36;
case 33
vBase = (xi(1)*xi(2)*xi(3)*(- 4*xi(2)^3 + 4*xi(2)^2 + xi(2) - 1)*(- 4*xi(3)^3 + 4*xi(3)^2 + xi(3) - 1)*(- 2*xi(1)^3 - xi(1)^2 + 2*xi(1) + 1))/27;
case 34
vBase = (xi(1)*xi(2)*xi(3)*(- 4*xi(1)^3 - 4*xi(1)^2 + xi(1) + 1)*(- 4*xi(3)^3 + 4*xi(3)^2 + xi(3) - 1)*(- 2*xi(2)^3 - xi(2)^2 + 2*xi(2) + 1))/27;
case 35
vBase = (xi(1)*xi(2)*xi(3)*(- 2*xi(1)^3 + xi(1)^2 + 2*xi(1) - 1)*(- 4*xi(2)^3 - 4*xi(2)^2 + xi(2) + 1)*(- 4*xi(3)^3 + 4*xi(3)^2 + xi(3) - 1))/27;
case 36
vBase = (xi(1)*xi(2)*xi(3)*(- 4*xi(1)^3 + 4*xi(1)^2 + xi(1) - 1)*(- 2*xi(2)^3 + xi(2)^2 + 2*xi(2) - 1)*(- 4*xi(3)^3 + 4*xi(3)^2 + xi(3) - 1))/27;
case 37
vBase = (xi(1)*xi(2)*xi(3)*(- 4*xi(1)^3 + 4*xi(1)^2 + xi(1) - 1)*(- 4*xi(2)^3 + 4*xi(2)^2 + xi(2) - 1)*(- 2*xi(3)^3 - xi(3)^2 + 2*xi(3) + 1))/27;
case 38
vBase = (xi(1)*xi(2)*xi(3)*(- 4*xi(1)^3 - 4*xi(1)^2 + xi(1) + 1)*(- 4*xi(2)^3 + 4*xi(2)^2 + xi(2) - 1)*(- 2*xi(3)^3 - xi(3)^2 + 2*xi(3) + 1))/27;
case 39
vBase = (xi(1)*xi(2)*xi(3)*(- 4*xi(1)^3 - 4*xi(1)^2 + xi(1) + 1)*(- 4*xi(2)^3 - 4*xi(2)^2 + xi(2) + 1)*(- 2*xi(3)^3 - xi(3)^2 + 2*xi(3) + 1))/27;
case 40
vBase = (xi(1)*xi(2)*xi(3)*(- 4*xi(1)^3 + 4*xi(1)^2 + xi(1) - 1)*(- 4*xi(2)^3 - 4*xi(2)^2 + xi(2) + 1)*(- 2*xi(3)^3 - xi(3)^2 + 2*xi(3) + 1))/27;
case 41
vBase = (xi(1)*xi(2)*xi(3)*(- 4*xi(2)^3 + 4*xi(2)^2 + xi(2) - 1)*(- 4*xi(3)^3 - 4*xi(3)^2 + xi(3) + 1)*(- 2*xi(1)^3 - xi(1)^2 + 2*xi(1) + 1))/27;
case 42
vBase = (xi(1)*xi(2)*xi(3)*(- 4*xi(1)^3 - 4*xi(1)^2 + xi(1) + 1)*(- 4*xi(3)^3 - 4*xi(3)^2 + xi(3) + 1)*(- 2*xi(2)^3 - xi(2)^2 + 2*xi(2) + 1))/27;
case 43
vBase = (xi(1)*xi(2)*xi(3)*(- 2*xi(1)^3 + xi(1)^2 + 2*xi(1) - 1)*(- 4*xi(2)^3 - 4*xi(2)^2 + xi(2) + 1)*(- 4*xi(3)^3 - 4*xi(3)^2 + xi(3) + 1))/27;
case 44
vBase = (xi(1)*xi(2)*xi(3)*(- 4*xi(1)^3 + 4*xi(1)^2 + xi(1) - 1)*(- 2*xi(2)^3 + xi(2)^2 + 2*xi(2) - 1)*(- 4*xi(3)^3 - 4*xi(3)^2 + xi(3) + 1))/27;
case 45
vBase = -(8*xi(1)*xi(2)*xi(3)*(- 2*xi(1)^3 + xi(1)^2 + 2*xi(1) - 1)*(- 2*xi(2)^3 + xi(2)^2 + 2*xi(2) - 1)*(- 4*xi(3)^3 + 4*xi(3)^2 + xi(3) - 1))/27;
case 46
vBase = -(8*xi(1)*xi(2)*xi(3)*(- 2*xi(1)^3 + xi(1)^2 + 2*xi(1) - 1)*(- 4*xi(2)^3 + 4*xi(2)^2 + xi(2) - 1)*(- 2*xi(3)^3 + xi(3)^2 + 2*xi(3) - 1))/27;
case 47
vBase = -(8*xi(1)*xi(2)*xi(3)*(- 4*xi(1)^3 - 4*xi(1)^2 + xi(1) + 1)*(- 2*xi(2)^3 + xi(2)^2 + 2*xi(2) - 1)*(- 2*xi(3)^3 + xi(3)^2 + 2*xi(3) - 1))/27;
case 48
vBase = -(8*xi(1)*xi(2)*xi(3)*(- 4*xi(2)^3 - 4*xi(2)^2 + xi(2) + 1)*(- 2*xi(3)^3 + xi(3)^2 + 2*xi(3) - 1)*(- 2*xi(1)^3 - xi(1)^2 + 2*xi(1) + 1))/27;
case 49
vBase = -(8*xi(1)*xi(2)*xi(3)*(- 4*xi(1)^3 + 4*xi(1)^2 + xi(1) - 1)*(- 2*xi(3)^3 + xi(3)^2 + 2*xi(3) - 1)*(- 2*xi(2)^3 - xi(2)^2 + 2*xi(2) + 1))/27;
case 50
vBase = -(8*xi(1)*xi(2)*xi(3)*(- 2*xi(1)^3 + xi(1)^2 + 2*xi(1) - 1)*(- 2*xi(2)^3 + xi(2)^2 + 2*xi(2) - 1)*(- 4*xi(3)^3 - 4*xi(3)^2 + xi(3) + 1))/27;
case 51
vBase = -(2*xi(2)*xi(3)*(4*xi(1)^4 - 5*xi(1)^2 + 1)*(- 2*xi(2)^3 + xi(2)^2 + 2*xi(2) - 1)*(- 4*xi(3)^3 + 4*xi(3)^2 + xi(3) - 1))/9;
case 52
vBase = -(2*xi(2)*xi(3)*(4*xi(1)^4 - 5*xi(1)^2 + 1)*(- 4*xi(2)^3 + 4*xi(2)^2 + xi(2) - 1)*(- 2*xi(3)^3 + xi(3)^2 + 2*xi(3) - 1))/9;
case 53
vBase = -(2*xi(1)*xi(3)*(4*xi(2)^4 - 5*xi(2)^2 + 1)*(- 4*xi(1)^3 - 4*xi(1)^2 + xi(1) + 1)*(- 2*xi(3)^3 + xi(3)^2 + 2*xi(3) - 1))/9;
case 54
vBase = -(2*xi(2)*xi(3)*(4*xi(1)^4 - 5*xi(1)^2 + 1)*(- 4*xi(2)^3 - 4*xi(2)^2 + xi(2) + 1)*(- 2*xi(3)^3 + xi(3)^2 + 2*xi(3) - 1))/9;
case 55
vBase = -(2*xi(1)*xi(3)*(4*xi(2)^4 - 5*xi(2)^2 + 1)*(- 4*xi(1)^3 + 4*xi(1)^2 + xi(1) - 1)*(- 2*xi(3)^3 + xi(3)^2 + 2*xi(3) - 1))/9;
case 56
vBase = -(2*xi(2)*xi(3)*(4*xi(1)^4 - 5*xi(1)^2 + 1)*(- 2*xi(2)^3 + xi(2)^2 + 2*xi(2) - 1)*(- 4*xi(3)^3 - 4*xi(3)^2 + xi(3) + 1))/9;
case 57
vBase = -(8*xi(1)*xi(2)*xi(3)*(- 2*xi(2)^3 + xi(2)^2 + 2*xi(2) - 1)*(- 4*xi(3)^3 + 4*xi(3)^2 + xi(3) - 1)*(- 2*xi(1)^3 - xi(1)^2 + 2*xi(1) + 1))/27;
case 58
vBase = -(8*xi(1)*xi(2)*xi(3)*(- 4*xi(2)^3 + 4*xi(2)^2 + xi(2) - 1)*(- 2*xi(3)^3 + xi(3)^2 + 2*xi(3) - 1)*(- 2*xi(1)^3 - xi(1)^2 + 2*xi(1) + 1))/27;
case 59
vBase = -(8*xi(1)*xi(2)*xi(3)*(- 4*xi(1)^3 - 4*xi(1)^2 + xi(1) + 1)*(- 2*xi(3)^3 + xi(3)^2 + 2*xi(3) - 1)*(- 2*xi(2)^3 - xi(2)^2 + 2*xi(2) + 1))/27;
case 60
vBase = -(8*xi(1)*xi(2)*xi(3)*(- 2*xi(1)^3 + xi(1)^2 + 2*xi(1) - 1)*(- 4*xi(2)^3 - 4*xi(2)^2 + xi(2) + 1)*(- 2*xi(3)^3 + xi(3)^2 + 2*xi(3) - 1))/27;
case 61
vBase = -(8*xi(1)*xi(2)*xi(3)*(- 4*xi(1)^3 + 4*xi(1)^2 + xi(1) - 1)*(- 2*xi(2)^3 + xi(2)^2 + 2*xi(2) - 1)*(- 2*xi(3)^3 + xi(3)^2 + 2*xi(3) - 1))/27;
case 62
vBase = -(8*xi(1)*xi(2)*xi(3)*(- 2*xi(2)^3 + xi(2)^2 + 2*xi(2) - 1)*(- 4*xi(3)^3 - 4*xi(3)^2 + xi(3) + 1)*(- 2*xi(1)^3 - xi(1)^2 + 2*xi(1) + 1))/27;
case 63
vBase = -(2*xi(1)*xi(3)*(4*xi(2)^4 - 5*xi(2)^2 + 1)*(- 4*xi(3)^3 + 4*xi(3)^2 + xi(3) - 1)*(- 2*xi(1)^3 - xi(1)^2 + 2*xi(1) + 1))/9;
case 64
vBase = -(2*xi(1)*xi(2)*(4*xi(3)^4 - 5*xi(3)^2 + 1)*(- 4*xi(2)^3 + 4*xi(2)^2 + xi(2) - 1)*(- 2*xi(1)^3 - xi(1)^2 + 2*xi(1) + 1))/9;
case 65
vBase = -(2*xi(1)*xi(2)*(4*xi(3)^4 - 5*xi(3)^2 + 1)*(- 4*xi(1)^3 - 4*xi(1)^2 + xi(1) + 1)*(- 2*xi(2)^3 - xi(2)^2 + 2*xi(2) + 1))/9;
case 66
vBase = -(2*xi(1)*xi(2)*(4*xi(3)^4 - 5*xi(3)^2 + 1)*(- 2*xi(1)^3 + xi(1)^2 + 2*xi(1) - 1)*(- 4*xi(2)^3 - 4*xi(2)^2 + xi(2) + 1))/9;
case 67
vBase = -(2*xi(1)*xi(2)*(4*xi(3)^4 - 5*xi(3)^2 + 1)*(- 4*xi(1)^3 + 4*xi(1)^2 + xi(1) - 1)*(- 2*xi(2)^3 + xi(2)^2 + 2*xi(2) - 1))/9;
case 68
vBase = -(2*xi(1)*xi(3)*(4*xi(2)^4 - 5*xi(2)^2 + 1)*(- 4*xi(3)^3 - 4*xi(3)^2 + xi(3) + 1)*(- 2*xi(1)^3 - xi(1)^2 + 2*xi(1) + 1))/9;
case 69
vBase = -(8*xi(1)*xi(2)*xi(3)*(- 4*xi(3)^3 + 4*xi(3)^2 + xi(3) - 1)*(- 2*xi(1)^3 - xi(1)^2 + 2*xi(1) + 1)*(- 2*xi(2)^3 - xi(2)^2 + 2*xi(2) + 1))/27;
case 70
vBase = -(8*xi(1)*xi(2)*xi(3)*(- 4*xi(2)^3 + 4*xi(2)^2 + xi(2) - 1)*(- 2*xi(1)^3 - xi(1)^2 + 2*xi(1) + 1)*(- 2*xi(3)^3 - xi(3)^2 + 2*xi(3) + 1))/27;
case 71
vBase = -(8*xi(1)*xi(2)*xi(3)*(- 4*xi(1)^3 - 4*xi(1)^2 + xi(1) + 1)*(- 2*xi(2)^3 - xi(2)^2 + 2*xi(2) + 1)*(- 2*xi(3)^3 - xi(3)^2 + 2*xi(3) + 1))/27;
case 72
vBase = -(8*xi(1)*xi(2)*xi(3)*(- 2*xi(1)^3 + xi(1)^2 + 2*xi(1) - 1)*(- 4*xi(2)^3 - 4*xi(2)^2 + xi(2) + 1)*(- 2*xi(3)^3 - xi(3)^2 + 2*xi(3) + 1))/27;
case 73
vBase = -(8*xi(1)*xi(2)*xi(3)*(- 4*xi(1)^3 + 4*xi(1)^2 + xi(1) - 1)*(- 2*xi(2)^3 + xi(2)^2 + 2*xi(2) - 1)*(- 2*xi(3)^3 - xi(3)^2 + 2*xi(3) + 1))/27;
case 74
vBase = -(8*xi(1)*xi(2)*xi(3)*(- 4*xi(3)^3 - 4*xi(3)^2 + xi(3) + 1)*(- 2*xi(1)^3 - xi(1)^2 + 2*xi(1) + 1)*(- 2*xi(2)^3 - xi(2)^2 + 2*xi(2) + 1))/27;
case 75
vBase = -(2*xi(2)*xi(3)*(4*xi(1)^4 - 5*xi(1)^2 + 1)*(- 4*xi(3)^3 + 4*xi(3)^2 + xi(3) - 1)*(- 2*xi(2)^3 - xi(2)^2 + 2*xi(2) + 1))/9;
case 76
vBase = -(2*xi(2)*xi(3)*(4*xi(1)^4 - 5*xi(1)^2 + 1)*(- 4*xi(2)^3 + 4*xi(2)^2 + xi(2) - 1)*(- 2*xi(3)^3 - xi(3)^2 + 2*xi(3) + 1))/9;
case 77
vBase = -(2*xi(1)*xi(3)*(4*xi(2)^4 - 5*xi(2)^2 + 1)*(- 4*xi(1)^3 - 4*xi(1)^2 + xi(1) + 1)*(- 2*xi(3)^3 - xi(3)^2 + 2*xi(3) + 1))/9;
case 78
vBase = -(2*xi(2)*xi(3)*(4*xi(1)^4 - 5*xi(1)^2 + 1)*(- 4*xi(2)^3 - 4*xi(2)^2 + xi(2) + 1)*(- 2*xi(3)^3 - xi(3)^2 + 2*xi(3) + 1))/9;
case 79
vBase = -(2*xi(1)*xi(3)*(4*xi(2)^4 - 5*xi(2)^2 + 1)*(- 4*xi(1)^3 + 4*xi(1)^2 + xi(1) - 1)*(- 2*xi(3)^3 - xi(3)^2 + 2*xi(3) + 1))/9;
case 80
vBase = -(2*xi(2)*xi(3)*(4*xi(1)^4 - 5*xi(1)^2 + 1)*(- 4*xi(3)^3 - 4*xi(3)^2 + xi(3) + 1)*(- 2*xi(2)^3 - xi(2)^2 + 2*xi(2) + 1))/9;
case 81
vBase = -(8*xi(1)*xi(2)*xi(3)*(- 2*xi(1)^3 + xi(1)^2 + 2*xi(1) - 1)*(- 4*xi(3)^3 + 4*xi(3)^2 + xi(3) - 1)*(- 2*xi(2)^3 - xi(2)^2 + 2*xi(2) + 1))/27;
case 82
vBase = -(8*xi(1)*xi(2)*xi(3)*(- 2*xi(1)^3 + xi(1)^2 + 2*xi(1) - 1)*(- 4*xi(2)^3 + 4*xi(2)^2 + xi(2) - 1)*(- 2*xi(3)^3 - xi(3)^2 + 2*xi(3) + 1))/27;
case 83
vBase = -(8*xi(1)*xi(2)*xi(3)*(- 4*xi(1)^3 - 4*xi(1)^2 + xi(1) + 1)*(- 2*xi(2)^3 + xi(2)^2 + 2*xi(2) - 1)*(- 2*xi(3)^3 - xi(3)^2 + 2*xi(3) + 1))/27;
case 84
vBase = -(8*xi(1)*xi(2)*xi(3)*(- 4*xi(2)^3 - 4*xi(2)^2 + xi(2) + 1)*(- 2*xi(1)^3 - xi(1)^2 + 2*xi(1) + 1)*(- 2*xi(3)^3 - xi(3)^2 + 2*xi(3) + 1))/27;
case 85
vBase = -(8*xi(1)*xi(2)*xi(3)*(- 4*xi(1)^3 + 4*xi(1)^2 + xi(1) - 1)*(- 2*xi(2)^3 - xi(2)^2 + 2*xi(2) + 1)*(- 2*xi(3)^3 - xi(3)^2 + 2*xi(3) + 1))/27;
case 86
vBase = -(8*xi(1)*xi(2)*xi(3)*(- 2*xi(1)^3 + xi(1)^2 + 2*xi(1) - 1)*(- 4*xi(3)^3 - 4*xi(3)^2 + xi(3) + 1)*(- 2*xi(2)^3 - xi(2)^2 + 2*xi(2) + 1))/27;
case 87
vBase = -(2*xi(1)*xi(3)*(4*xi(2)^4 - 5*xi(2)^2 + 1)*(- 2*xi(1)^3 + xi(1)^2 + 2*xi(1) - 1)*(- 4*xi(3)^3 + 4*xi(3)^2 + xi(3) - 1))/9;
case 88
vBase = -(2*xi(1)*xi(2)*(4*xi(3)^4 - 5*xi(3)^2 + 1)*(- 2*xi(1)^3 + xi(1)^2 + 2*xi(1) - 1)*(- 4*xi(2)^3 + 4*xi(2)^2 + xi(2) - 1))/9;
case 89
vBase = -(2*xi(1)*xi(2)*(4*xi(3)^4 - 5*xi(3)^2 + 1)*(- 4*xi(1)^3 - 4*xi(1)^2 + xi(1) + 1)*(- 2*xi(2)^3 + xi(2)^2 + 2*xi(2) - 1))/9;
case 90
vBase = -(2*xi(1)*xi(2)*(4*xi(3)^4 - 5*xi(3)^2 + 1)*(- 4*xi(2)^3 - 4*xi(2)^2 + xi(2) + 1)*(- 2*xi(1)^3 - xi(1)^2 + 2*xi(1) + 1))/9;
case 91
vBase = -(2*xi(1)*xi(2)*(4*xi(3)^4 - 5*xi(3)^2 + 1)*(- 4*xi(1)^3 + 4*xi(1)^2 + xi(1) - 1)*(- 2*xi(2)^3 - xi(2)^2 + 2*xi(2) + 1))/9;
case 92
vBase = -(2*xi(1)*xi(3)*(4*xi(2)^4 - 5*xi(2)^2 + 1)*(- 2*xi(1)^3 + xi(1)^2 + 2*xi(1) - 1)*(- 4*xi(3)^3 - 4*xi(3)^2 + xi(3) + 1))/9;
case 93
vBase = -(xi(3)*(4*xi(1)^4 - 5*xi(1)^2 + 1)*(4*xi(2)^4 - 5*xi(2)^2 + 1)*(- 4*xi(3)^3 + 4*xi(3)^2 + xi(3) - 1))/6;
case 94
vBase = -(xi(2)*(4*xi(1)^4 - 5*xi(1)^2 + 1)*(4*xi(3)^4 - 5*xi(3)^2 + 1)*(- 4*xi(2)^3 + 4*xi(2)^2 + xi(2) - 1))/6;
case 95
vBase = -(xi(1)*(4*xi(2)^4 - 5*xi(2)^2 + 1)*(4*xi(3)^4 - 5*xi(3)^2 + 1)*(- 4*xi(1)^3 - 4*xi(1)^2 + xi(1) + 1))/6;
case 96
vBase = -(xi(2)*(4*xi(1)^4 - 5*xi(1)^2 + 1)*(4*xi(3)^4 - 5*xi(3)^2 + 1)*(- 4*xi(2)^3 - 4*xi(2)^2 + xi(2) + 1))/6;
case 97
vBase = -(xi(1)*(4*xi(2)^4 - 5*xi(2)^2 + 1)*(4*xi(3)^4 - 5*xi(3)^2 + 1)*(- 4*xi(1)^3 + 4*xi(1)^2 + xi(1) - 1))/6;
case 98
vBase = -(xi(3)*(4*xi(1)^4 - 5*xi(1)^2 + 1)*(4*xi(2)^4 - 5*xi(2)^2 + 1)*(- 4*xi(3)^3 - 4*xi(3)^2 + xi(3) + 1))/6;
case 99
vBase = (64*xi(1)*xi(2)*xi(3)*(- 2*xi(1)^3 + xi(1)^2 + 2*xi(1) - 1)*(- 2*xi(2)^3 + xi(2)^2 + 2*xi(2) - 1)*(- 2*xi(3)^3 + xi(3)^2 + 2*xi(3) - 1))/27;
case 100
vBase = (16*xi(2)*xi(3)*(4*xi(1)^4 - 5*xi(1)^2 + 1)*(- 2*xi(2)^3 + xi(2)^2 + 2*xi(2) - 1)*(- 2*xi(3)^3 + xi(3)^2 + 2*xi(3) - 1))/9;
case 101
vBase = (64*xi(1)*xi(2)*xi(3)*(- 2*xi(2)^3 + xi(2)^2 + 2*xi(2) - 1)*(- 2*xi(3)^3 + xi(3)^2 + 2*xi(3) - 1)*(- 2*xi(1)^3 - xi(1)^2 + 2*xi(1) + 1))/27;
case 102
vBase = (16*xi(1)*xi(3)*(4*xi(2)^4 - 5*xi(2)^2 + 1)*(- 2*xi(1)^3 + xi(1)^2 + 2*xi(1) - 1)*(- 2*xi(3)^3 + xi(3)^2 + 2*xi(3) - 1))/9;
case 103
vBase = (4*xi(3)*(4*xi(1)^4 - 5*xi(1)^2 + 1)*(4*xi(2)^4 - 5*xi(2)^2 + 1)*(- 2*xi(3)^3 + xi(3)^2 + 2*xi(3) - 1))/3;
case 104
vBase = (16*xi(1)*xi(3)*(4*xi(2)^4 - 5*xi(2)^2 + 1)*(- 2*xi(3)^3 + xi(3)^2 + 2*xi(3) - 1)*(- 2*xi(1)^3 - xi(1)^2 + 2*xi(1) + 1))/9;
case 105
vBase = (64*xi(1)*xi(2)*xi(3)*(- 2*xi(1)^3 + xi(1)^2 + 2*xi(1) - 1)*(- 2*xi(3)^3 + xi(3)^2 + 2*xi(3) - 1)*(- 2*xi(2)^3 - xi(2)^2 + 2*xi(2) + 1))/27;
case 106
vBase = (16*xi(2)*xi(3)*(4*xi(1)^4 - 5*xi(1)^2 + 1)*(- 2*xi(3)^3 + xi(3)^2 + 2*xi(3) - 1)*(- 2*xi(2)^3 - xi(2)^2 + 2*xi(2) + 1))/9;
case 107
vBase = (64*xi(1)*xi(2)*xi(3)*(- 2*xi(3)^3 + xi(3)^2 + 2*xi(3) - 1)*(- 2*xi(1)^3 - xi(1)^2 + 2*xi(1) + 1)*(- 2*xi(2)^3 - xi(2)^2 + 2*xi(2) + 1))/27;
case 108
vBase = (16*xi(1)*xi(2)*(4*xi(3)^4 - 5*xi(3)^2 + 1)*(- 2*xi(1)^3 + xi(1)^2 + 2*xi(1) - 1)*(- 2*xi(2)^3 + xi(2)^2 + 2*xi(2) - 1))/9;
case 109
vBase = (4*xi(2)*(4*xi(1)^4 - 5*xi(1)^2 + 1)*(4*xi(3)^4 - 5*xi(3)^2 + 1)*(- 2*xi(2)^3 + xi(2)^2 + 2*xi(2) - 1))/3;
case 110
vBase = (16*xi(1)*xi(2)*(4*xi(3)^4 - 5*xi(3)^2 + 1)*(- 2*xi(2)^3 + xi(2)^2 + 2*xi(2) - 1)*(- 2*xi(1)^3 - xi(1)^2 + 2*xi(1) + 1))/9;
case 111
vBase = (4*xi(1)*(4*xi(2)^4 - 5*xi(2)^2 + 1)*(4*xi(3)^4 - 5*xi(3)^2 + 1)*(- 2*xi(1)^3 + xi(1)^2 + 2*xi(1) - 1))/3;
case 112
vBase = (4*xi(1)^4 - 5*xi(1)^2 + 1)*(4*xi(2)^4 - 5*xi(2)^2 + 1)*(4*xi(3)^4 - 5*xi(3)^2 + 1);
case 113
vBase = (4*xi(1)*(4*xi(2)^4 - 5*xi(2)^2 + 1)*(4*xi(3)^4 - 5*xi(3)^2 + 1)*(- 2*xi(1)^3 - xi(1)^2 + 2*xi(1) + 1))/3;
case 114
vBase = (16*xi(1)*xi(2)*(4*xi(3)^4 - 5*xi(3)^2 + 1)*(- 2*xi(1)^3 + xi(1)^2 + 2*xi(1) - 1)*(- 2*xi(2)^3 - xi(2)^2 + 2*xi(2) + 1))/9;
case 115
vBase = (4*xi(2)*(4*xi(1)^4 - 5*xi(1)^2 + 1)*(4*xi(3)^4 - 5*xi(3)^2 + 1)*(- 2*xi(2)^3 - xi(2)^2 + 2*xi(2) + 1))/3;
case 116
vBase = (16*xi(1)*xi(2)*(4*xi(3)^4 - 5*xi(3)^2 + 1)*(- 2*xi(1)^3 - xi(1)^2 + 2*xi(1) + 1)*(- 2*xi(2)^3 - xi(2)^2 + 2*xi(2) + 1))/9;
case 117
vBase = (64*xi(1)*xi(2)*xi(3)*(- 2*xi(1)^3 + xi(1)^2 + 2*xi(1) - 1)*(- 2*xi(2)^3 + xi(2)^2 + 2*xi(2) - 1)*(- 2*xi(3)^3 - xi(3)^2 + 2*xi(3) + 1))/27;
case 118
vBase = (16*xi(2)*xi(3)*(4*xi(1)^4 - 5*xi(1)^2 + 1)*(- 2*xi(2)^3 + xi(2)^2 + 2*xi(2) - 1)*(- 2*xi(3)^3 - xi(3)^2 + 2*xi(3) + 1))/9;
case 119
vBase = (64*xi(1)*xi(2)*xi(3)*(- 2*xi(2)^3 + xi(2)^2 + 2*xi(2) - 1)*(- 2*xi(1)^3 - xi(1)^2 + 2*xi(1) + 1)*(- 2*xi(3)^3 - xi(3)^2 + 2*xi(3) + 1))/27;
case 120
vBase = (16*xi(1)*xi(3)*(4*xi(2)^4 - 5*xi(2)^2 + 1)*(- 2*xi(1)^3 + xi(1)^2 + 2*xi(1) - 1)*(- 2*xi(3)^3 - xi(3)^2 + 2*xi(3) + 1))/9;
case 121
vBase = (4*xi(3)*(4*xi(1)^4 - 5*xi(1)^2 + 1)*(4*xi(2)^4 - 5*xi(2)^2 + 1)*(- 2*xi(3)^3 - xi(3)^2 + 2*xi(3) + 1))/3;
case 122
vBase = (16*xi(1)*xi(3)*(4*xi(2)^4 - 5*xi(2)^2 + 1)*(- 2*xi(1)^3 - xi(1)^2 + 2*xi(1) + 1)*(- 2*xi(3)^3 - xi(3)^2 + 2*xi(3) + 1))/9;
case 123
vBase = (64*xi(1)*xi(2)*xi(3)*(- 2*xi(1)^3 + xi(1)^2 + 2*xi(1) - 1)*(- 2*xi(2)^3 - xi(2)^2 + 2*xi(2) + 1)*(- 2*xi(3)^3 - xi(3)^2 + 2*xi(3) + 1))/27;
case 124
vBase = (16*xi(2)*xi(3)*(4*xi(1)^4 - 5*xi(1)^2 + 1)*(- 2*xi(2)^3 - xi(2)^2 + 2*xi(2) + 1)*(- 2*xi(3)^3 - xi(3)^2 + 2*xi(3) + 1))/9;
case 125
vBase = (64*xi(1)*xi(2)*xi(3)*(- 2*xi(1)^3 - xi(1)^2 + 2*xi(1) + 1)*(- 2*xi(2)^3 - xi(2)^2 + 2*xi(2) + 1)*(- 2*xi(3)^3 - xi(3)^2 + 2*xi(3) + 1))/27;
end
case {2,3,4}
switch i_dof
case 1
dNdxi1 = -(xi(2)*xi(3)*(4*xi(1) - 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(3) - 1)*(- 4*xi(1)^2 + 2*xi(1) + 1))/216;
dNdxi2 = -(xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(4*xi(2) - 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(3) - 1)*(- 4*xi(2)^2 + 2*xi(2) + 1))/216;
dNdxi3 = -(xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(4*xi(3) - 1)*(xi(1) - 1)*(xi(2) - 1)*(- 4*xi(3)^2 + 2*xi(3) + 1))/216;
case 2
dNdxi1 = (xi(2)*xi(3)*(4*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(3) - 1)*(4*xi(1)^2 + 2*xi(1) - 1))/216;
dNdxi2 = -(xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(4*xi(2) - 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) + 1)*(xi(3) - 1)*(- 4*xi(2)^2 + 2*xi(2) + 1))/216;
dNdxi3 = -(xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(4*xi(3) - 1)*(xi(1) + 1)*(xi(2) - 1)*(- 4*xi(3)^2 + 2*xi(3) + 1))/216;
case 3
dNdxi1 = (xi(2)*xi(3)*(4*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) + 1)*(xi(3) - 1)*(4*xi(1)^2 + 2*xi(1) - 1))/216;
dNdxi2 = (xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(4*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) + 1)*(xi(3) - 1)*(4*xi(2)^2 + 2*xi(2) - 1))/216;
dNdxi3 = -(xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(4*xi(3) - 1)*(xi(1) + 1)*(xi(2) + 1)*(- 4*xi(3)^2 + 2*xi(3) + 1))/216;
case 4
dNdxi1 = -(xi(2)*xi(3)*(4*xi(1) - 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) + 1)*(xi(3) - 1)*(- 4*xi(1)^2 + 2*xi(1) + 1))/216;
dNdxi2 = (xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(4*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(3) - 1)*(4*xi(2)^2 + 2*xi(2) - 1))/216;
dNdxi3 = -(xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(4*xi(3) - 1)*(xi(1) - 1)*(xi(2) + 1)*(- 4*xi(3)^2 + 2*xi(3) + 1))/216;
case 5
dNdxi1 = -(xi(2)*xi(3)*(4*xi(1) - 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(3) + 1)*(- 4*xi(1)^2 + 2*xi(1) + 1))/216;
dNdxi2 = -(xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(4*xi(2) - 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(3) + 1)*(- 4*xi(2)^2 + 2*xi(2) + 1))/216;
dNdxi3 = (xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(4*xi(3) + 1)*(xi(1) - 1)*(xi(2) - 1)*(4*xi(3)^2 + 2*xi(3) - 1))/216;
case 6
dNdxi1 = (xi(2)*xi(3)*(4*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(3) + 1)*(4*xi(1)^2 + 2*xi(1) - 1))/216;
dNdxi2 = -(xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(4*xi(2) - 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) + 1)*(xi(3) + 1)*(- 4*xi(2)^2 + 2*xi(2) + 1))/216;
dNdxi3 = (xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(4*xi(3) + 1)*(xi(1) + 1)*(xi(2) - 1)*(4*xi(3)^2 + 2*xi(3) - 1))/216;
case 7
dNdxi1 = (xi(2)*xi(3)*(4*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) + 1)*(xi(3) + 1)*(4*xi(1)^2 + 2*xi(1) - 1))/216;
dNdxi2 = (xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(4*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) + 1)*(xi(3) + 1)*(4*xi(2)^2 + 2*xi(2) - 1))/216;
dNdxi3 = (xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(4*xi(3) + 1)*(xi(1) + 1)*(xi(2) + 1)*(4*xi(3)^2 + 2*xi(3) - 1))/216;
case 8
dNdxi1 = -(xi(2)*xi(3)*(4*xi(1) - 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) + 1)*(xi(3) + 1)*(- 4*xi(1)^2 + 2*xi(1) + 1))/216;
dNdxi2 = (xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(4*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(3) + 1)*(4*xi(2)^2 + 2*xi(2) - 1))/216;
dNdxi3 = (xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(4*xi(3) + 1)*(xi(1) - 1)*(xi(2) + 1)*(4*xi(3)^2 + 2*xi(3) - 1))/216;
case 9
dNdxi1 = (xi(2)*xi(3)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(3) - 1)*(- 8*xi(1)^3 + 3*xi(1)^2 + 4*xi(1) - 1))/27;
dNdxi2 = (xi(1)*xi(3)*(2*xi(1) - 1)*(4*xi(2) - 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(- 4*xi(2)^2 + 2*xi(2) + 1))/27;
dNdxi3 = (xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(4*xi(3) - 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(- 4*xi(3)^2 + 2*xi(3) + 1))/27;
case 10
dNdxi1 = -(xi(2)*xi(3)*(4*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(4*xi(1)^2 + 2*xi(1) - 1))/27;
dNdxi2 = (xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) + 1)*(xi(3) - 1)*(- 8*xi(2)^3 + 3*xi(2)^2 + 4*xi(2) - 1))/27;
dNdxi3 = (xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(4*xi(3) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(- 4*xi(3)^2 + 2*xi(3) + 1))/27;
case 11
dNdxi1 = (xi(2)*xi(3)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) + 1)*(xi(3) - 1)*(- 8*xi(1)^3 - 3*xi(1)^2 + 4*xi(1) + 1))/27;
dNdxi2 = -(xi(1)*xi(3)*(2*xi(1) + 1)*(4*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(4*xi(2)^2 + 2*xi(2) - 1))/27;
dNdxi3 = (xi(1)*xi(2)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(4*xi(3) - 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) + 1)*(- 4*xi(3)^2 + 2*xi(3) + 1))/27;
case 12
dNdxi1 = (xi(2)*xi(3)*(4*xi(1) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(- 4*xi(1)^2 + 2*xi(1) + 1))/27;
dNdxi2 = (xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(3) - 1)*(- 8*xi(2)^3 - 3*xi(2)^2 + 4*xi(2) + 1))/27;
dNdxi3 = (xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) + 1)*(4*xi(3) - 1)*(xi(1) - 1)*(xi(2) - 1)*(xi(2) + 1)*(- 4*xi(3)^2 + 2*xi(3) + 1))/27;
case 13
dNdxi1 = (xi(2)*xi(3)*(4*xi(1) - 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(xi(2) - 1)*(xi(3) - 1)*(xi(3) + 1)*(- 4*xi(1)^2 + 2*xi(1) + 1))/27;
dNdxi2 = (xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(4*xi(2) - 1)*(2*xi(3) - 1)*(xi(1) - 1)*(xi(3) - 1)*(xi(3) + 1)*(- 4*xi(2)^2 + 2*xi(2) + 1))/27;
dNdxi3 = (xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(xi(1) - 1)*(xi(2) - 1)*(- 8*xi(3)^3 + 3*xi(3)^2 + 4*xi(3) - 1))/27;
case 14
dNdxi1 = -(xi(2)*xi(3)*(4*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(xi(2) - 1)*(xi(3) - 1)*(xi(3) + 1)*(4*xi(1)^2 + 2*xi(1) - 1))/27;
dNdxi2 = (xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(4*xi(2) - 1)*(2*xi(3) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 4*xi(2)^2 + 2*xi(2) + 1))/27;
dNdxi3 = (xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(xi(1) + 1)*(xi(2) - 1)*(- 8*xi(3)^3 + 3*xi(3)^2 + 4*xi(3) - 1))/27;
case 15
dNdxi1 = -(xi(2)*xi(3)*(4*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(4*xi(1)^2 + 2*xi(1) - 1))/27;
dNdxi2 = -(xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(4*xi(2) + 1)*(2*xi(3) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(4*xi(2)^2 + 2*xi(2) - 1))/27;
dNdxi3 = (xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(xi(1) + 1)*(xi(2) + 1)*(- 8*xi(3)^3 + 3*xi(3)^2 + 4*xi(3) - 1))/27;
case 16
dNdxi1 = (xi(2)*xi(3)*(4*xi(1) - 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 4*xi(1)^2 + 2*xi(1) + 1))/27;
dNdxi2 = -(xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(4*xi(2) + 1)*(2*xi(3) - 1)*(xi(1) - 1)*(xi(3) - 1)*(xi(3) + 1)*(4*xi(2)^2 + 2*xi(2) - 1))/27;
dNdxi3 = (xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(xi(1) - 1)*(xi(2) + 1)*(- 8*xi(3)^3 + 3*xi(3)^2 + 4*xi(3) - 1))/27;
case 17
dNdxi1 = (xi(2)*xi(3)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(3) + 1)*(- 8*xi(1)^3 + 3*xi(1)^2 + 4*xi(1) - 1))/27;
dNdxi2 = (xi(1)*xi(3)*(2*xi(1) - 1)*(4*xi(2) - 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) + 1)*(- 4*xi(2)^2 + 2*xi(2) + 1))/27;
dNdxi3 = -(xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(4*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(4*xi(3)^2 + 2*xi(3) - 1))/27;
case 18
dNdxi1 = -(xi(2)*xi(3)*(4*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) + 1)*(4*xi(1)^2 + 2*xi(1) - 1))/27;
dNdxi2 = (xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) + 1)*(xi(3) + 1)*(- 8*xi(2)^3 + 3*xi(2)^2 + 4*xi(2) - 1))/27;
dNdxi3 = -(xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(4*xi(3) + 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(4*xi(3)^2 + 2*xi(3) - 1))/27;
case 19
dNdxi1 = (xi(2)*xi(3)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) + 1)*(xi(3) + 1)*(- 8*xi(1)^3 - 3*xi(1)^2 + 4*xi(1) + 1))/27;
dNdxi2 = -(xi(1)*xi(3)*(2*xi(1) + 1)*(4*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) + 1)*(4*xi(2)^2 + 2*xi(2) - 1))/27;
dNdxi3 = -(xi(1)*xi(2)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(4*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) + 1)*(4*xi(3)^2 + 2*xi(3) - 1))/27;
case 20
dNdxi1 = (xi(2)*xi(3)*(4*xi(1) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) + 1)*(- 4*xi(1)^2 + 2*xi(1) + 1))/27;
dNdxi2 = (xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(3) + 1)*(- 8*xi(2)^3 - 3*xi(2)^2 + 4*xi(2) + 1))/27;
dNdxi3 = -(xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) + 1)*(4*xi(3) + 1)*(xi(1) - 1)*(xi(2) - 1)*(xi(2) + 1)*(4*xi(3)^2 + 2*xi(3) - 1))/27;
case 21
dNdxi1 = (xi(1)*xi(2)*xi(3)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(8*xi(1)^2 - 5)*(xi(2) - 1)*(xi(3) - 1))/18;
dNdxi2 = -(xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(4*xi(2) - 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(- 4*xi(2)^2 + 2*xi(2) + 1))/36;
dNdxi3 = -(xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(4*xi(3) - 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(- 4*xi(3)^2 + 2*xi(3) + 1))/36;
case 22
dNdxi1 = (xi(3)*(4*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(4*xi(1)^2 + 2*xi(1) - 1))/36;
dNdxi2 = (xi(1)*xi(2)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(8*xi(2)^2 - 5)*(xi(1) + 1)*(xi(3) - 1))/18;
dNdxi3 = -(xi(1)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(4*xi(3) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(- 4*xi(3)^2 + 2*xi(3) + 1))/36;
case 23
dNdxi1 = (xi(1)*xi(2)*xi(3)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(8*xi(1)^2 - 5)*(xi(2) + 1)*(xi(3) - 1))/18;
dNdxi2 = (xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(4*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(4*xi(2)^2 + 2*xi(2) - 1))/36;
dNdxi3 = -(xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(4*xi(3) - 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) + 1)*(- 4*xi(3)^2 + 2*xi(3) + 1))/36;
case 24
dNdxi1 = -(xi(3)*(4*xi(1) - 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(- 4*xi(1)^2 + 2*xi(1) + 1))/36;
dNdxi2 = (xi(1)*xi(2)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(8*xi(2)^2 - 5)*(xi(1) - 1)*(xi(3) - 1))/18;
dNdxi3 = -(xi(1)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(4*xi(3) - 1)*(xi(1) - 1)*(xi(2) - 1)*(xi(2) + 1)*(- 4*xi(3)^2 + 2*xi(3) + 1))/36;
case 25
dNdxi1 = -(xi(2)*(4*xi(1) - 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(3) - 1)*(xi(3) + 1)*(- 4*xi(1)^2 + 2*xi(1) + 1))/36;
dNdxi2 = -(xi(1)*(2*xi(1) - 1)*(2*xi(1) + 1)*(4*xi(2) - 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(3) - 1)*(xi(3) + 1)*(- 4*xi(2)^2 + 2*xi(2) + 1))/36;
dNdxi3 = (xi(1)*xi(2)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(8*xi(3)^2 - 5)*(xi(1) - 1)*(xi(2) - 1))/18;
case 26
dNdxi1 = (xi(2)*(4*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(3) - 1)*(xi(3) + 1)*(4*xi(1)^2 + 2*xi(1) - 1))/36;
dNdxi2 = -(xi(1)*(2*xi(1) - 1)*(2*xi(1) + 1)*(4*xi(2) - 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 4*xi(2)^2 + 2*xi(2) + 1))/36;
dNdxi3 = (xi(1)*xi(2)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(8*xi(3)^2 - 5)*(xi(1) + 1)*(xi(2) - 1))/18;
case 27
dNdxi1 = (xi(2)*(4*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(4*xi(1)^2 + 2*xi(1) - 1))/36;
dNdxi2 = (xi(1)*(2*xi(1) - 1)*(2*xi(1) + 1)*(4*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(4*xi(2)^2 + 2*xi(2) - 1))/36;
dNdxi3 = (xi(1)*xi(2)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(8*xi(3)^2 - 5)*(xi(1) + 1)*(xi(2) + 1))/18;
case 28
dNdxi1 = -(xi(2)*(4*xi(1) - 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 4*xi(1)^2 + 2*xi(1) + 1))/36;
dNdxi2 = (xi(1)*(2*xi(1) - 1)*(2*xi(1) + 1)*(4*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(3) - 1)*(xi(3) + 1)*(4*xi(2)^2 + 2*xi(2) - 1))/36;
dNdxi3 = (xi(1)*xi(2)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(8*xi(3)^2 - 5)*(xi(1) - 1)*(xi(2) + 1))/18;
case 29
dNdxi1 = (xi(1)*xi(2)*xi(3)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(8*xi(1)^2 - 5)*(xi(2) - 1)*(xi(3) + 1))/18;
dNdxi2 = -(xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(4*xi(2) - 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) + 1)*(- 4*xi(2)^2 + 2*xi(2) + 1))/36;
dNdxi3 = (xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(4*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(4*xi(3)^2 + 2*xi(3) - 1))/36;
case 30
dNdxi1 = (xi(3)*(4*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) + 1)*(4*xi(1)^2 + 2*xi(1) - 1))/36;
dNdxi2 = (xi(1)*xi(2)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(8*xi(2)^2 - 5)*(xi(1) + 1)*(xi(3) + 1))/18;
dNdxi3 = (xi(1)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(4*xi(3) + 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(4*xi(3)^2 + 2*xi(3) - 1))/36;
case 31
dNdxi1 = (xi(1)*xi(2)*xi(3)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(8*xi(1)^2 - 5)*(xi(2) + 1)*(xi(3) + 1))/18;
dNdxi2 = (xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(4*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) + 1)*(4*xi(2)^2 + 2*xi(2) - 1))/36;
dNdxi3 = (xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(4*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) + 1)*(4*xi(3)^2 + 2*xi(3) - 1))/36;
case 32
dNdxi1 = -(xi(3)*(4*xi(1) - 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) + 1)*(- 4*xi(1)^2 + 2*xi(1) + 1))/36;
dNdxi2 = (xi(1)*xi(2)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(8*xi(2)^2 - 5)*(xi(1) - 1)*(xi(3) + 1))/18;
dNdxi3 = (xi(1)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(4*xi(3) + 1)*(xi(1) - 1)*(xi(2) - 1)*(xi(2) + 1)*(4*xi(3)^2 + 2*xi(3) - 1))/36;
case 33
dNdxi1 = (xi(2)*xi(3)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(3) - 1)*(- 8*xi(1)^3 - 3*xi(1)^2 + 4*xi(1) + 1))/27;
dNdxi2 = (xi(1)*xi(3)*(2*xi(1) + 1)*(4*xi(2) - 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(- 4*xi(2)^2 + 2*xi(2) + 1))/27;
dNdxi3 = (xi(1)*xi(2)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(4*xi(3) - 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(- 4*xi(3)^2 + 2*xi(3) + 1))/27;
case 34
dNdxi1 = -(xi(2)*xi(3)*(4*xi(1) + 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(4*xi(1)^2 + 2*xi(1) - 1))/27;
dNdxi2 = (xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) + 1)*(xi(3) - 1)*(- 8*xi(2)^3 - 3*xi(2)^2 + 4*xi(2) + 1))/27;
dNdxi3 = (xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) + 1)*(4*xi(3) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(- 4*xi(3)^2 + 2*xi(3) + 1))/27;
case 35
dNdxi1 = (xi(2)*xi(3)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) + 1)*(xi(3) - 1)*(- 8*xi(1)^3 + 3*xi(1)^2 + 4*xi(1) - 1))/27;
dNdxi2 = -(xi(1)*xi(3)*(2*xi(1) - 1)*(4*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(4*xi(2)^2 + 2*xi(2) - 1))/27;
dNdxi3 = (xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(4*xi(3) - 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) + 1)*(- 4*xi(3)^2 + 2*xi(3) + 1))/27;
case 36
dNdxi1 = (xi(2)*xi(3)*(4*xi(1) - 1)*(2*xi(2) - 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(- 4*xi(1)^2 + 2*xi(1) + 1))/27;
dNdxi2 = (xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(3) - 1)*(- 8*xi(2)^3 + 3*xi(2)^2 + 4*xi(2) - 1))/27;
dNdxi3 = (xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(4*xi(3) - 1)*(xi(1) - 1)*(xi(2) - 1)*(xi(2) + 1)*(- 4*xi(3)^2 + 2*xi(3) + 1))/27;
case 37
dNdxi1 = (xi(2)*xi(3)*(4*xi(1) - 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(3) - 1)*(xi(3) + 1)*(- 4*xi(1)^2 + 2*xi(1) + 1))/27;
dNdxi2 = (xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(4*xi(2) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(3) - 1)*(xi(3) + 1)*(- 4*xi(2)^2 + 2*xi(2) + 1))/27;
dNdxi3 = (xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(xi(1) - 1)*(xi(2) - 1)*(- 8*xi(3)^3 - 3*xi(3)^2 + 4*xi(3) + 1))/27;
case 38
dNdxi1 = -(xi(2)*xi(3)*(4*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(3) - 1)*(xi(3) + 1)*(4*xi(1)^2 + 2*xi(1) - 1))/27;
dNdxi2 = (xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(4*xi(2) - 1)*(2*xi(3) + 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 4*xi(2)^2 + 2*xi(2) + 1))/27;
dNdxi3 = (xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(xi(1) + 1)*(xi(2) - 1)*(- 8*xi(3)^3 - 3*xi(3)^2 + 4*xi(3) + 1))/27;
case 39
dNdxi1 = -(xi(2)*xi(3)*(4*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) + 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(4*xi(1)^2 + 2*xi(1) - 1))/27;
dNdxi2 = -(xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(4*xi(2) + 1)*(2*xi(3) + 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(4*xi(2)^2 + 2*xi(2) - 1))/27;
dNdxi3 = (xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(xi(1) + 1)*(xi(2) + 1)*(- 8*xi(3)^3 - 3*xi(3)^2 + 4*xi(3) + 1))/27;
case 40
dNdxi1 = (xi(2)*xi(3)*(4*xi(1) - 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) + 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 4*xi(1)^2 + 2*xi(1) + 1))/27;
dNdxi2 = -(xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(4*xi(2) + 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(3) - 1)*(xi(3) + 1)*(4*xi(2)^2 + 2*xi(2) - 1))/27;
dNdxi3 = (xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(xi(1) - 1)*(xi(2) + 1)*(- 8*xi(3)^3 - 3*xi(3)^2 + 4*xi(3) + 1))/27;
case 41
dNdxi1 = (xi(2)*xi(3)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(3) + 1)*(- 8*xi(1)^3 - 3*xi(1)^2 + 4*xi(1) + 1))/27;
dNdxi2 = (xi(1)*xi(3)*(2*xi(1) + 1)*(4*xi(2) - 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) + 1)*(- 4*xi(2)^2 + 2*xi(2) + 1))/27;
dNdxi3 = -(xi(1)*xi(2)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(4*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(4*xi(3)^2 + 2*xi(3) - 1))/27;
case 42
dNdxi1 = -(xi(2)*xi(3)*(4*xi(1) + 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) + 1)*(4*xi(1)^2 + 2*xi(1) - 1))/27;
dNdxi2 = (xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) + 1)*(xi(3) + 1)*(- 8*xi(2)^3 - 3*xi(2)^2 + 4*xi(2) + 1))/27;
dNdxi3 = -(xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) + 1)*(4*xi(3) + 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(4*xi(3)^2 + 2*xi(3) - 1))/27;
case 43
dNdxi1 = (xi(2)*xi(3)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) + 1)*(xi(3) + 1)*(- 8*xi(1)^3 + 3*xi(1)^2 + 4*xi(1) - 1))/27;
dNdxi2 = -(xi(1)*xi(3)*(2*xi(1) - 1)*(4*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) + 1)*(4*xi(2)^2 + 2*xi(2) - 1))/27;
dNdxi3 = -(xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(4*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) + 1)*(4*xi(3)^2 + 2*xi(3) - 1))/27;
case 44
dNdxi1 = (xi(2)*xi(3)*(4*xi(1) - 1)*(2*xi(2) - 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) + 1)*(- 4*xi(1)^2 + 2*xi(1) + 1))/27;
dNdxi2 = (xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(3) + 1)*(- 8*xi(2)^3 + 3*xi(2)^2 + 4*xi(2) - 1))/27;
dNdxi3 = -(xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(4*xi(3) + 1)*(xi(1) - 1)*(xi(2) - 1)*(xi(2) + 1)*(4*xi(3)^2 + 2*xi(3) - 1))/27;
case 45
dNdxi1 = -(8*xi(2)*xi(3)*(2*xi(2) - 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(- 8*xi(1)^3 + 3*xi(1)^2 + 4*xi(1) - 1))/27;
dNdxi2 = -(8*xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(- 8*xi(2)^3 + 3*xi(2)^2 + 4*xi(2) - 1))/27;
dNdxi3 = -(8*xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(2) - 1)*(4*xi(3) - 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(- 4*xi(3)^2 + 2*xi(3) + 1))/27;
case 46
dNdxi1 = -(8*xi(2)*xi(3)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(xi(2) - 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(1)^3 + 3*xi(1)^2 + 4*xi(1) - 1))/27;
dNdxi2 = -(8*xi(1)*xi(3)*(2*xi(1) - 1)*(4*xi(2) - 1)*(2*xi(3) - 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 4*xi(2)^2 + 2*xi(2) + 1))/27;
dNdxi3 = -(8*xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(- 8*xi(3)^3 + 3*xi(3)^2 + 4*xi(3) - 1))/27;
case 47
dNdxi1 = (8*xi(2)*xi(3)*(4*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(3) - 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(4*xi(1)^2 + 2*xi(1) - 1))/27;
dNdxi2 = -(8*xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(2)^3 + 3*xi(2)^2 + 4*xi(2) - 1))/27;
dNdxi3 = -(8*xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(- 8*xi(3)^3 + 3*xi(3)^2 + 4*xi(3) - 1))/27;
case 48
dNdxi1 = -(8*xi(2)*xi(3)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(1)^3 - 3*xi(1)^2 + 4*xi(1) + 1))/27;
dNdxi2 = (8*xi(1)*xi(3)*(2*xi(1) + 1)*(4*xi(2) + 1)*(2*xi(3) - 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(4*xi(2)^2 + 2*xi(2) - 1))/27;
dNdxi3 = -(8*xi(1)*xi(2)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) + 1)*(- 8*xi(3)^3 + 3*xi(3)^2 + 4*xi(3) - 1))/27;
case 49
dNdxi1 = -(8*xi(2)*xi(3)*(4*xi(1) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 4*xi(1)^2 + 2*xi(1) + 1))/27;
dNdxi2 = -(8*xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) - 1)*(xi(1) - 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(2)^3 - 3*xi(2)^2 + 4*xi(2) + 1))/27;
dNdxi3 = -(8*xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) + 1)*(xi(1) - 1)*(xi(2) - 1)*(xi(2) + 1)*(- 8*xi(3)^3 + 3*xi(3)^2 + 4*xi(3) - 1))/27;
case 50
dNdxi1 = -(8*xi(2)*xi(3)*(2*xi(2) - 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) + 1)*(- 8*xi(1)^3 + 3*xi(1)^2 + 4*xi(1) - 1))/27;
dNdxi2 = -(8*xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) + 1)*(- 8*xi(2)^3 + 3*xi(2)^2 + 4*xi(2) - 1))/27;
dNdxi3 = (8*xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(2) - 1)*(4*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(4*xi(3)^2 + 2*xi(3) - 1))/27;
case 51
dNdxi1 = -(4*xi(1)*xi(2)*xi(3)*(2*xi(2) - 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(8*xi(1)^2 - 5)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1))/9;
dNdxi2 = (2*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(- 8*xi(2)^3 + 3*xi(2)^2 + 4*xi(2) - 1))/9;
dNdxi3 = (2*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(4*xi(3) - 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(- 4*xi(3)^2 + 2*xi(3) + 1))/9;
case 52
dNdxi1 = -(4*xi(1)*xi(2)*xi(3)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(8*xi(1)^2 - 5)*(xi(2) - 1)*(xi(3) - 1)*(xi(3) + 1))/9;
dNdxi2 = (2*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(4*xi(2) - 1)*(2*xi(3) - 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 4*xi(2)^2 + 2*xi(2) + 1))/9;
dNdxi3 = (2*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(- 8*xi(3)^3 + 3*xi(3)^2 + 4*xi(3) - 1))/9;
case 53
dNdxi1 = -(2*xi(3)*(4*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(4*xi(1)^2 + 2*xi(1) - 1))/9;
dNdxi2 = -(4*xi(1)*xi(2)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) - 1)*(8*xi(2)^2 - 5)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1))/9;
dNdxi3 = (2*xi(1)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(- 8*xi(3)^3 + 3*xi(3)^2 + 4*xi(3) - 1))/9;
case 54
dNdxi1 = -(4*xi(1)*xi(2)*xi(3)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(8*xi(1)^2 - 5)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1))/9;
dNdxi2 = -(2*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(4*xi(2) + 1)*(2*xi(3) - 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(4*xi(2)^2 + 2*xi(2) - 1))/9;
dNdxi3 = (2*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) + 1)*(- 8*xi(3)^3 + 3*xi(3)^2 + 4*xi(3) - 1))/9;
case 55
dNdxi1 = (2*xi(3)*(4*xi(1) - 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 4*xi(1)^2 + 2*xi(1) + 1))/9;
dNdxi2 = -(4*xi(1)*xi(2)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) - 1)*(8*xi(2)^2 - 5)*(xi(1) - 1)*(xi(3) - 1)*(xi(3) + 1))/9;
dNdxi3 = (2*xi(1)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(xi(1) - 1)*(xi(2) - 1)*(xi(2) + 1)*(- 8*xi(3)^3 + 3*xi(3)^2 + 4*xi(3) - 1))/9;
case 56
dNdxi1 = -(4*xi(1)*xi(2)*xi(3)*(2*xi(2) - 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(8*xi(1)^2 - 5)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) + 1))/9;
dNdxi2 = (2*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) + 1)*(- 8*xi(2)^3 + 3*xi(2)^2 + 4*xi(2) - 1))/9;
dNdxi3 = -(2*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(4*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(4*xi(3)^2 + 2*xi(3) - 1))/9;
case 57
dNdxi1 = -(8*xi(2)*xi(3)*(2*xi(2) - 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(- 8*xi(1)^3 - 3*xi(1)^2 + 4*xi(1) + 1))/27;
dNdxi2 = -(8*xi(1)*xi(3)*(2*xi(1) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(- 8*xi(2)^3 + 3*xi(2)^2 + 4*xi(2) - 1))/27;
dNdxi3 = -(8*xi(1)*xi(2)*(2*xi(1) + 1)*(2*xi(2) - 1)*(4*xi(3) - 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(- 4*xi(3)^2 + 2*xi(3) + 1))/27;
case 58
dNdxi1 = -(8*xi(2)*xi(3)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(xi(2) - 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(1)^3 - 3*xi(1)^2 + 4*xi(1) + 1))/27;
dNdxi2 = -(8*xi(1)*xi(3)*(2*xi(1) + 1)*(4*xi(2) - 1)*(2*xi(3) - 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 4*xi(2)^2 + 2*xi(2) + 1))/27;
dNdxi3 = -(8*xi(1)*xi(2)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(- 8*xi(3)^3 + 3*xi(3)^2 + 4*xi(3) - 1))/27;
case 59
dNdxi1 = (8*xi(2)*xi(3)*(4*xi(1) + 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(4*xi(1)^2 + 2*xi(1) - 1))/27;
dNdxi2 = -(8*xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(2)^3 - 3*xi(2)^2 + 4*xi(2) + 1))/27;
dNdxi3 = -(8*xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) + 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(- 8*xi(3)^3 + 3*xi(3)^2 + 4*xi(3) - 1))/27;
case 60
dNdxi1 = -(8*xi(2)*xi(3)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(1)^3 + 3*xi(1)^2 + 4*xi(1) - 1))/27;
dNdxi2 = (8*xi(1)*xi(3)*(2*xi(1) - 1)*(4*xi(2) + 1)*(2*xi(3) - 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(4*xi(2)^2 + 2*xi(2) - 1))/27;
dNdxi3 = -(8*xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) + 1)*(- 8*xi(3)^3 + 3*xi(3)^2 + 4*xi(3) - 1))/27;
case 61
dNdxi1 = -(8*xi(2)*xi(3)*(4*xi(1) - 1)*(2*xi(2) - 1)*(2*xi(3) - 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 4*xi(1)^2 + 2*xi(1) + 1))/27;
dNdxi2 = -(8*xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) - 1)*(xi(1) - 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(2)^3 + 3*xi(2)^2 + 4*xi(2) - 1))/27;
dNdxi3 = -(8*xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(xi(1) - 1)*(xi(2) - 1)*(xi(2) + 1)*(- 8*xi(3)^3 + 3*xi(3)^2 + 4*xi(3) - 1))/27;
case 62
dNdxi1 = -(8*xi(2)*xi(3)*(2*xi(2) - 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) + 1)*(- 8*xi(1)^3 - 3*xi(1)^2 + 4*xi(1) + 1))/27;
dNdxi2 = -(8*xi(1)*xi(3)*(2*xi(1) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) + 1)*(- 8*xi(2)^3 + 3*xi(2)^2 + 4*xi(2) - 1))/27;
dNdxi3 = (8*xi(1)*xi(2)*(2*xi(1) + 1)*(2*xi(2) - 1)*(4*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(4*xi(3)^2 + 2*xi(3) - 1))/27;
case 63
dNdxi1 = (2*xi(3)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(- 8*xi(1)^3 - 3*xi(1)^2 + 4*xi(1) + 1))/9;
dNdxi2 = -(4*xi(1)*xi(2)*xi(3)*(2*xi(1) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(8*xi(2)^2 - 5)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1))/9;
dNdxi3 = (2*xi(1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(4*xi(3) - 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(- 4*xi(3)^2 + 2*xi(3) + 1))/9;
case 64
dNdxi1 = (2*xi(2)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(1)^3 - 3*xi(1)^2 + 4*xi(1) + 1))/9;
dNdxi2 = (2*xi(1)*(2*xi(1) + 1)*(4*xi(2) - 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 4*xi(2)^2 + 2*xi(2) + 1))/9;
dNdxi3 = -(4*xi(1)*xi(2)*xi(3)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(8*xi(3)^2 - 5)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1))/9;
case 65
dNdxi1 = -(2*xi(2)*(4*xi(1) + 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(4*xi(1)^2 + 2*xi(1) - 1))/9;
dNdxi2 = (2*xi(1)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(2)^3 - 3*xi(2)^2 + 4*xi(2) + 1))/9;
dNdxi3 = -(4*xi(1)*xi(2)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) + 1)*(8*xi(3)^2 - 5)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1))/9;
case 66
dNdxi1 = (2*xi(2)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(1)^3 + 3*xi(1)^2 + 4*xi(1) - 1))/9;
dNdxi2 = -(2*xi(1)*(2*xi(1) - 1)*(4*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(4*xi(2)^2 + 2*xi(2) - 1))/9;
dNdxi3 = -(4*xi(1)*xi(2)*xi(3)*(2*xi(1) - 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(8*xi(3)^2 - 5)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) + 1))/9;
case 67
dNdxi1 = (2*xi(2)*(4*xi(1) - 1)*(2*xi(2) - 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 4*xi(1)^2 + 2*xi(1) + 1))/9;
dNdxi2 = (2*xi(1)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(2)^3 + 3*xi(2)^2 + 4*xi(2) - 1))/9;
dNdxi3 = -(4*xi(1)*xi(2)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(8*xi(3)^2 - 5)*(xi(1) - 1)*(xi(2) - 1)*(xi(2) + 1))/9;
case 68
dNdxi1 = (2*xi(3)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) + 1)*(- 8*xi(1)^3 - 3*xi(1)^2 + 4*xi(1) + 1))/9;
dNdxi2 = -(4*xi(1)*xi(2)*xi(3)*(2*xi(1) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(8*xi(2)^2 - 5)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) + 1))/9;
dNdxi3 = -(2*xi(1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(4*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(4*xi(3)^2 + 2*xi(3) - 1))/9;
case 69
dNdxi1 = -(8*xi(2)*xi(3)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(- 8*xi(1)^3 - 3*xi(1)^2 + 4*xi(1) + 1))/27;
dNdxi2 = -(8*xi(1)*xi(3)*(2*xi(1) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(- 8*xi(2)^3 - 3*xi(2)^2 + 4*xi(2) + 1))/27;
dNdxi3 = -(8*xi(1)*xi(2)*(2*xi(1) + 1)*(2*xi(2) + 1)*(4*xi(3) - 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(- 4*xi(3)^2 + 2*xi(3) + 1))/27;
case 70
dNdxi1 = -(8*xi(2)*xi(3)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(1)^3 - 3*xi(1)^2 + 4*xi(1) + 1))/27;
dNdxi2 = -(8*xi(1)*xi(3)*(2*xi(1) + 1)*(4*xi(2) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 4*xi(2)^2 + 2*xi(2) + 1))/27;
dNdxi3 = -(8*xi(1)*xi(2)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(- 8*xi(3)^3 - 3*xi(3)^2 + 4*xi(3) + 1))/27;
case 71
dNdxi1 = (8*xi(2)*xi(3)*(4*xi(1) + 1)*(2*xi(2) + 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(4*xi(1)^2 + 2*xi(1) - 1))/27;
dNdxi2 = -(8*xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) + 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(2)^3 - 3*xi(2)^2 + 4*xi(2) + 1))/27;
dNdxi3 = -(8*xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) + 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(- 8*xi(3)^3 - 3*xi(3)^2 + 4*xi(3) + 1))/27;
case 72
dNdxi1 = -(8*xi(2)*xi(3)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) + 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(1)^3 + 3*xi(1)^2 + 4*xi(1) - 1))/27;
dNdxi2 = (8*xi(1)*xi(3)*(2*xi(1) - 1)*(4*xi(2) + 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(4*xi(2)^2 + 2*xi(2) - 1))/27;
dNdxi3 = -(8*xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) + 1)*(- 8*xi(3)^3 - 3*xi(3)^2 + 4*xi(3) + 1))/27;
case 73
dNdxi1 = -(8*xi(2)*xi(3)*(4*xi(1) - 1)*(2*xi(2) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 4*xi(1)^2 + 2*xi(1) + 1))/27;
dNdxi2 = -(8*xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(2)^3 + 3*xi(2)^2 + 4*xi(2) - 1))/27;
dNdxi3 = -(8*xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(xi(1) - 1)*(xi(2) - 1)*(xi(2) + 1)*(- 8*xi(3)^3 - 3*xi(3)^2 + 4*xi(3) + 1))/27;
case 74
dNdxi1 = -(8*xi(2)*xi(3)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) + 1)*(- 8*xi(1)^3 - 3*xi(1)^2 + 4*xi(1) + 1))/27;
dNdxi2 = -(8*xi(1)*xi(3)*(2*xi(1) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) + 1)*(- 8*xi(2)^3 - 3*xi(2)^2 + 4*xi(2) + 1))/27;
dNdxi3 = (8*xi(1)*xi(2)*(2*xi(1) + 1)*(2*xi(2) + 1)*(4*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(4*xi(3)^2 + 2*xi(3) - 1))/27;
case 75
dNdxi1 = -(4*xi(1)*xi(2)*xi(3)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(8*xi(1)^2 - 5)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1))/9;
dNdxi2 = (2*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(- 8*xi(2)^3 - 3*xi(2)^2 + 4*xi(2) + 1))/9;
dNdxi3 = (2*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) + 1)*(4*xi(3) - 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(- 4*xi(3)^2 + 2*xi(3) + 1))/9;
case 76
dNdxi1 = -(4*xi(1)*xi(2)*xi(3)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) + 1)*(8*xi(1)^2 - 5)*(xi(2) - 1)*(xi(3) - 1)*(xi(3) + 1))/9;
dNdxi2 = (2*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(4*xi(2) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 4*xi(2)^2 + 2*xi(2) + 1))/9;
dNdxi3 = (2*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(- 8*xi(3)^3 - 3*xi(3)^2 + 4*xi(3) + 1))/9;
case 77
dNdxi1 = -(2*xi(3)*(4*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(4*xi(1)^2 + 2*xi(1) - 1))/9;
dNdxi2 = -(4*xi(1)*xi(2)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) + 1)*(8*xi(2)^2 - 5)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1))/9;
dNdxi3 = (2*xi(1)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(- 8*xi(3)^3 - 3*xi(3)^2 + 4*xi(3) + 1))/9;
case 78
dNdxi1 = -(4*xi(1)*xi(2)*xi(3)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) + 1)*(8*xi(1)^2 - 5)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1))/9;
dNdxi2 = -(2*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(4*xi(2) + 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(4*xi(2)^2 + 2*xi(2) - 1))/9;
dNdxi3 = (2*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) + 1)*(- 8*xi(3)^3 - 3*xi(3)^2 + 4*xi(3) + 1))/9;
case 79
dNdxi1 = (2*xi(3)*(4*xi(1) - 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 4*xi(1)^2 + 2*xi(1) + 1))/9;
dNdxi2 = -(4*xi(1)*xi(2)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) + 1)*(8*xi(2)^2 - 5)*(xi(1) - 1)*(xi(3) - 1)*(xi(3) + 1))/9;
dNdxi3 = (2*xi(1)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(xi(1) - 1)*(xi(2) - 1)*(xi(2) + 1)*(- 8*xi(3)^3 - 3*xi(3)^2 + 4*xi(3) + 1))/9;
case 80
dNdxi1 = -(4*xi(1)*xi(2)*xi(3)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(8*xi(1)^2 - 5)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) + 1))/9;
dNdxi2 = (2*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) + 1)*(- 8*xi(2)^3 - 3*xi(2)^2 + 4*xi(2) + 1))/9;
dNdxi3 = -(2*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) + 1)*(4*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(4*xi(3)^2 + 2*xi(3) - 1))/9;
case 81
dNdxi1 = -(8*xi(2)*xi(3)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(- 8*xi(1)^3 + 3*xi(1)^2 + 4*xi(1) - 1))/27;
dNdxi2 = -(8*xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(- 8*xi(2)^3 - 3*xi(2)^2 + 4*xi(2) + 1))/27;
dNdxi3 = -(8*xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(2) + 1)*(4*xi(3) - 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(- 4*xi(3)^2 + 2*xi(3) + 1))/27;
case 82
dNdxi1 = -(8*xi(2)*xi(3)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(1)^3 + 3*xi(1)^2 + 4*xi(1) - 1))/27;
dNdxi2 = -(8*xi(1)*xi(3)*(2*xi(1) - 1)*(4*xi(2) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 4*xi(2)^2 + 2*xi(2) + 1))/27;
dNdxi3 = -(8*xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(- 8*xi(3)^3 - 3*xi(3)^2 + 4*xi(3) + 1))/27;
case 83
dNdxi1 = (8*xi(2)*xi(3)*(4*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(4*xi(1)^2 + 2*xi(1) - 1))/27;
dNdxi2 = -(8*xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) + 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(2)^3 + 3*xi(2)^2 + 4*xi(2) - 1))/27;
dNdxi3 = -(8*xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(- 8*xi(3)^3 - 3*xi(3)^2 + 4*xi(3) + 1))/27;
case 84
dNdxi1 = -(8*xi(2)*xi(3)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) + 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(1)^3 - 3*xi(1)^2 + 4*xi(1) + 1))/27;
dNdxi2 = (8*xi(1)*xi(3)*(2*xi(1) + 1)*(4*xi(2) + 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(4*xi(2)^2 + 2*xi(2) - 1))/27;
dNdxi3 = -(8*xi(1)*xi(2)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) + 1)*(- 8*xi(3)^3 - 3*xi(3)^2 + 4*xi(3) + 1))/27;
case 85
dNdxi1 = -(8*xi(2)*xi(3)*(4*xi(1) - 1)*(2*xi(2) + 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 4*xi(1)^2 + 2*xi(1) + 1))/27;
dNdxi2 = -(8*xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(2)^3 - 3*xi(2)^2 + 4*xi(2) + 1))/27;
dNdxi3 = -(8*xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) + 1)*(xi(1) - 1)*(xi(2) - 1)*(xi(2) + 1)*(- 8*xi(3)^3 - 3*xi(3)^2 + 4*xi(3) + 1))/27;
case 86
dNdxi1 = -(8*xi(2)*xi(3)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) + 1)*(- 8*xi(1)^3 + 3*xi(1)^2 + 4*xi(1) - 1))/27;
dNdxi2 = -(8*xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) + 1)*(- 8*xi(2)^3 - 3*xi(2)^2 + 4*xi(2) + 1))/27;
dNdxi3 = (8*xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(2) + 1)*(4*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(4*xi(3)^2 + 2*xi(3) - 1))/27;
case 87
dNdxi1 = (2*xi(3)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(- 8*xi(1)^3 + 3*xi(1)^2 + 4*xi(1) - 1))/9;
dNdxi2 = -(4*xi(1)*xi(2)*xi(3)*(2*xi(1) - 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(8*xi(2)^2 - 5)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1))/9;
dNdxi3 = (2*xi(1)*(2*xi(1) - 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(4*xi(3) - 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(- 4*xi(3)^2 + 2*xi(3) + 1))/9;
case 88
dNdxi1 = (2*xi(2)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(1)^3 + 3*xi(1)^2 + 4*xi(1) - 1))/9;
dNdxi2 = (2*xi(1)*(2*xi(1) - 1)*(4*xi(2) - 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 4*xi(2)^2 + 2*xi(2) + 1))/9;
dNdxi3 = -(4*xi(1)*xi(2)*xi(3)*(2*xi(1) - 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(8*xi(3)^2 - 5)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1))/9;
case 89
dNdxi1 = -(2*xi(2)*(4*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(4*xi(1)^2 + 2*xi(1) - 1))/9;
dNdxi2 = (2*xi(1)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(2)^3 + 3*xi(2)^2 + 4*xi(2) - 1))/9;
dNdxi3 = -(4*xi(1)*xi(2)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(8*xi(3)^2 - 5)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1))/9;
case 90
dNdxi1 = (2*xi(2)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(1)^3 - 3*xi(1)^2 + 4*xi(1) + 1))/9;
dNdxi2 = -(2*xi(1)*(2*xi(1) + 1)*(4*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(4*xi(2)^2 + 2*xi(2) - 1))/9;
dNdxi3 = -(4*xi(1)*xi(2)*xi(3)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(8*xi(3)^2 - 5)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) + 1))/9;
case 91
dNdxi1 = (2*xi(2)*(4*xi(1) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 4*xi(1)^2 + 2*xi(1) + 1))/9;
dNdxi2 = (2*xi(1)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(2)^3 - 3*xi(2)^2 + 4*xi(2) + 1))/9;
dNdxi3 = -(4*xi(1)*xi(2)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) + 1)*(8*xi(3)^2 - 5)*(xi(1) - 1)*(xi(2) - 1)*(xi(2) + 1))/9;
case 92
dNdxi1 = (2*xi(3)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) + 1)*(- 8*xi(1)^3 + 3*xi(1)^2 + 4*xi(1) - 1))/9;
dNdxi2 = -(4*xi(1)*xi(2)*xi(3)*(2*xi(1) - 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(8*xi(2)^2 - 5)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) + 1))/9;
dNdxi3 = -(2*xi(1)*(2*xi(1) - 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(4*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(4*xi(3)^2 + 2*xi(3) - 1))/9;
case 93
dNdxi1 = (xi(1)*xi(3)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(8*xi(1)^2 - 5)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1))/3;
dNdxi2 = (xi(2)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(8*xi(2)^2 - 5)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1))/3;
dNdxi3 = -((4*xi(1)^4 - 5*xi(1)^2 + 1)*(4*xi(2)^4 - 5*xi(2)^2 + 1)*(- 16*xi(3)^3 + 12*xi(3)^2 + 2*xi(3) - 1))/6;
case 94
dNdxi1 = (xi(1)*xi(2)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(8*xi(1)^2 - 5)*(xi(2) - 1)*(xi(3) - 1)*(xi(3) + 1))/3;
dNdxi2 = -((4*xi(1)^4 - 5*xi(1)^2 + 1)*(4*xi(3)^4 - 5*xi(3)^2 + 1)*(- 16*xi(2)^3 + 12*xi(2)^2 + 2*xi(2) - 1))/6;
dNdxi3 = (xi(2)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(8*xi(3)^2 - 5)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1))/3;
case 95
dNdxi1 = -((4*xi(2)^4 - 5*xi(2)^2 + 1)*(4*xi(3)^4 - 5*xi(3)^2 + 1)*(- 16*xi(1)^3 - 12*xi(1)^2 + 2*xi(1) + 1))/6;
dNdxi2 = (xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(8*xi(2)^2 - 5)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1))/3;
dNdxi3 = (xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(8*xi(3)^2 - 5)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1))/3;
case 96
dNdxi1 = (xi(1)*xi(2)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(8*xi(1)^2 - 5)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1))/3;
dNdxi2 = -((4*xi(1)^4 - 5*xi(1)^2 + 1)*(4*xi(3)^4 - 5*xi(3)^2 + 1)*(- 16*xi(2)^3 - 12*xi(2)^2 + 2*xi(2) + 1))/6;
dNdxi3 = (xi(2)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(8*xi(3)^2 - 5)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) + 1))/3;
case 97
dNdxi1 = -((4*xi(2)^4 - 5*xi(2)^2 + 1)*(4*xi(3)^4 - 5*xi(3)^2 + 1)*(- 16*xi(1)^3 + 12*xi(1)^2 + 2*xi(1) - 1))/6;
dNdxi2 = (xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(8*xi(2)^2 - 5)*(xi(1) - 1)*(xi(3) - 1)*(xi(3) + 1))/3;
dNdxi3 = (xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(8*xi(3)^2 - 5)*(xi(1) - 1)*(xi(2) - 1)*(xi(2) + 1))/3;
case 98
dNdxi1 = (xi(1)*xi(3)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(8*xi(1)^2 - 5)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) + 1))/3;
dNdxi2 = (xi(2)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(8*xi(2)^2 - 5)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) + 1))/3;
dNdxi3 = -((4*xi(1)^4 - 5*xi(1)^2 + 1)*(4*xi(2)^4 - 5*xi(2)^2 + 1)*(- 16*xi(3)^3 - 12*xi(3)^2 + 2*xi(3) + 1))/6;
case 99
dNdxi1 = (64*xi(2)*xi(3)*(2*xi(2) - 1)*(2*xi(3) - 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(1)^3 + 3*xi(1)^2 + 4*xi(1) - 1))/27;
dNdxi2 = (64*xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(3) - 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(2)^3 + 3*xi(2)^2 + 4*xi(2) - 1))/27;
dNdxi3 = (64*xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(2) - 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(- 8*xi(3)^3 + 3*xi(3)^2 + 4*xi(3) - 1))/27;
case 100
dNdxi1 = (32*xi(1)*xi(2)*xi(3)*(2*xi(2) - 1)*(2*xi(3) - 1)*(8*xi(1)^2 - 5)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1))/9;
dNdxi2 = -(16*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) - 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(2)^3 + 3*xi(2)^2 + 4*xi(2) - 1))/9;
dNdxi3 = -(16*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(- 8*xi(3)^3 + 3*xi(3)^2 + 4*xi(3) - 1))/9;
case 101
dNdxi1 = (64*xi(2)*xi(3)*(2*xi(2) - 1)*(2*xi(3) - 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(1)^3 - 3*xi(1)^2 + 4*xi(1) + 1))/27;
dNdxi2 = (64*xi(1)*xi(3)*(2*xi(1) + 1)*(2*xi(3) - 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(2)^3 + 3*xi(2)^2 + 4*xi(2) - 1))/27;
dNdxi3 = (64*xi(1)*xi(2)*(2*xi(1) + 1)*(2*xi(2) - 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(- 8*xi(3)^3 + 3*xi(3)^2 + 4*xi(3) - 1))/27;
case 102
dNdxi1 = -(16*xi(3)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(1)^3 + 3*xi(1)^2 + 4*xi(1) - 1))/9;
dNdxi2 = (32*xi(1)*xi(2)*xi(3)*(2*xi(1) - 1)*(2*xi(3) - 1)*(8*xi(2)^2 - 5)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1))/9;
dNdxi3 = -(16*xi(1)*(2*xi(1) - 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(- 8*xi(3)^3 + 3*xi(3)^2 + 4*xi(3) - 1))/9;
case 103
dNdxi1 = -(8*xi(1)*xi(3)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(8*xi(1)^2 - 5)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1))/3;
dNdxi2 = -(8*xi(2)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) - 1)*(8*xi(2)^2 - 5)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1))/3;
dNdxi3 = (4*(4*xi(1)^4 - 5*xi(1)^2 + 1)*(4*xi(2)^4 - 5*xi(2)^2 + 1)*(- 8*xi(3)^3 + 3*xi(3)^2 + 4*xi(3) - 1))/3;
case 104
dNdxi1 = -(16*xi(3)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) - 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(1)^3 - 3*xi(1)^2 + 4*xi(1) + 1))/9;
dNdxi2 = (32*xi(1)*xi(2)*xi(3)*(2*xi(1) + 1)*(2*xi(3) - 1)*(8*xi(2)^2 - 5)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1))/9;
dNdxi3 = -(16*xi(1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(- 8*xi(3)^3 + 3*xi(3)^2 + 4*xi(3) - 1))/9;
case 105
dNdxi1 = (64*xi(2)*xi(3)*(2*xi(2) + 1)*(2*xi(3) - 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(1)^3 + 3*xi(1)^2 + 4*xi(1) - 1))/27;
dNdxi2 = (64*xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(3) - 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(2)^3 - 3*xi(2)^2 + 4*xi(2) + 1))/27;
dNdxi3 = (64*xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(2) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(- 8*xi(3)^3 + 3*xi(3)^2 + 4*xi(3) - 1))/27;
case 106
dNdxi1 = (32*xi(1)*xi(2)*xi(3)*(2*xi(2) + 1)*(2*xi(3) - 1)*(8*xi(1)^2 - 5)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1))/9;
dNdxi2 = -(16*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) - 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(2)^3 - 3*xi(2)^2 + 4*xi(2) + 1))/9;
dNdxi3 = -(16*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(- 8*xi(3)^3 + 3*xi(3)^2 + 4*xi(3) - 1))/9;
case 107
dNdxi1 = (64*xi(2)*xi(3)*(2*xi(2) + 1)*(2*xi(3) - 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(1)^3 - 3*xi(1)^2 + 4*xi(1) + 1))/27;
dNdxi2 = (64*xi(1)*xi(3)*(2*xi(1) + 1)*(2*xi(3) - 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(2)^3 - 3*xi(2)^2 + 4*xi(2) + 1))/27;
dNdxi3 = (64*xi(1)*xi(2)*(2*xi(1) + 1)*(2*xi(2) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(- 8*xi(3)^3 + 3*xi(3)^2 + 4*xi(3) - 1))/27;
case 108
dNdxi1 = -(16*xi(2)*(2*xi(2) - 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(1)^3 + 3*xi(1)^2 + 4*xi(1) - 1))/9;
dNdxi2 = -(16*xi(1)*(2*xi(1) - 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(2)^3 + 3*xi(2)^2 + 4*xi(2) - 1))/9;
dNdxi3 = (32*xi(1)*xi(2)*xi(3)*(2*xi(1) - 1)*(2*xi(2) - 1)*(8*xi(3)^2 - 5)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1))/9;
case 109
dNdxi1 = -(8*xi(1)*xi(2)*(2*xi(2) - 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(8*xi(1)^2 - 5)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1))/3;
dNdxi2 = (4*(4*xi(1)^4 - 5*xi(1)^2 + 1)*(4*xi(3)^4 - 5*xi(3)^2 + 1)*(- 8*xi(2)^3 + 3*xi(2)^2 + 4*xi(2) - 1))/3;
dNdxi3 = -(8*xi(2)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(8*xi(3)^2 - 5)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1))/3;
case 110
dNdxi1 = -(16*xi(2)*(2*xi(2) - 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(1)^3 - 3*xi(1)^2 + 4*xi(1) + 1))/9;
dNdxi2 = -(16*xi(1)*(2*xi(1) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(2)^3 + 3*xi(2)^2 + 4*xi(2) - 1))/9;
dNdxi3 = (32*xi(1)*xi(2)*xi(3)*(2*xi(1) + 1)*(2*xi(2) - 1)*(8*xi(3)^2 - 5)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1))/9;
case 111
dNdxi1 = (4*(4*xi(2)^4 - 5*xi(2)^2 + 1)*(4*xi(3)^4 - 5*xi(3)^2 + 1)*(- 8*xi(1)^3 + 3*xi(1)^2 + 4*xi(1) - 1))/3;
dNdxi2 = -(8*xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(8*xi(2)^2 - 5)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1))/3;
dNdxi3 = -(8*xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(8*xi(3)^2 - 5)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1))/3;
case 112
dNdxi1 = 2*xi(1)*(8*xi(1)^2 - 5)*(4*xi(2)^4 - 5*xi(2)^2 + 1)*(4*xi(3)^4 - 5*xi(3)^2 + 1);
dNdxi2 = 2*xi(2)*(8*xi(2)^2 - 5)*(4*xi(1)^4 - 5*xi(1)^2 + 1)*(4*xi(3)^4 - 5*xi(3)^2 + 1);
dNdxi3 = 2*xi(3)*(8*xi(3)^2 - 5)*(4*xi(1)^4 - 5*xi(1)^2 + 1)*(4*xi(2)^4 - 5*xi(2)^2 + 1);
case 113
dNdxi1 = (4*(4*xi(2)^4 - 5*xi(2)^2 + 1)*(4*xi(3)^4 - 5*xi(3)^2 + 1)*(- 8*xi(1)^3 - 3*xi(1)^2 + 4*xi(1) + 1))/3;
dNdxi2 = -(8*xi(1)*xi(2)*(2*xi(1) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(8*xi(2)^2 - 5)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1))/3;
dNdxi3 = -(8*xi(1)*xi(3)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(8*xi(3)^2 - 5)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1))/3;
case 114
dNdxi1 = -(16*xi(2)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(1)^3 + 3*xi(1)^2 + 4*xi(1) - 1))/9;
dNdxi2 = -(16*xi(1)*(2*xi(1) - 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(2)^3 - 3*xi(2)^2 + 4*xi(2) + 1))/9;
dNdxi3 = (32*xi(1)*xi(2)*xi(3)*(2*xi(1) - 1)*(2*xi(2) + 1)*(8*xi(3)^2 - 5)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1))/9;
case 115
dNdxi1 = -(8*xi(1)*xi(2)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(8*xi(1)^2 - 5)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1))/3;
dNdxi2 = (4*(4*xi(1)^4 - 5*xi(1)^2 + 1)*(4*xi(3)^4 - 5*xi(3)^2 + 1)*(- 8*xi(2)^3 - 3*xi(2)^2 + 4*xi(2) + 1))/3;
dNdxi3 = -(8*xi(2)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) + 1)*(8*xi(3)^2 - 5)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1))/3;
case 116
dNdxi1 = -(16*xi(2)*(2*xi(2) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(1)^3 - 3*xi(1)^2 + 4*xi(1) + 1))/9;
dNdxi2 = -(16*xi(1)*(2*xi(1) + 1)*(2*xi(3) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(2)^3 - 3*xi(2)^2 + 4*xi(2) + 1))/9;
dNdxi3 = (32*xi(1)*xi(2)*xi(3)*(2*xi(1) + 1)*(2*xi(2) + 1)*(8*xi(3)^2 - 5)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1))/9;
case 117
dNdxi1 = (64*xi(2)*xi(3)*(2*xi(2) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(1)^3 + 3*xi(1)^2 + 4*xi(1) - 1))/27;
dNdxi2 = (64*xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(2)^3 + 3*xi(2)^2 + 4*xi(2) - 1))/27;
dNdxi3 = (64*xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(2) - 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(- 8*xi(3)^3 - 3*xi(3)^2 + 4*xi(3) + 1))/27;
case 118
dNdxi1 = (32*xi(1)*xi(2)*xi(3)*(2*xi(2) - 1)*(2*xi(3) + 1)*(8*xi(1)^2 - 5)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1))/9;
dNdxi2 = -(16*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(2)^3 + 3*xi(2)^2 + 4*xi(2) - 1))/9;
dNdxi3 = -(16*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(- 8*xi(3)^3 - 3*xi(3)^2 + 4*xi(3) + 1))/9;
case 119
dNdxi1 = (64*xi(2)*xi(3)*(2*xi(2) - 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(1)^3 - 3*xi(1)^2 + 4*xi(1) + 1))/27;
dNdxi2 = (64*xi(1)*xi(3)*(2*xi(1) + 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(2)^3 + 3*xi(2)^2 + 4*xi(2) - 1))/27;
dNdxi3 = (64*xi(1)*xi(2)*(2*xi(1) + 1)*(2*xi(2) - 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(- 8*xi(3)^3 - 3*xi(3)^2 + 4*xi(3) + 1))/27;
case 120
dNdxi1 = -(16*xi(3)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(1)^3 + 3*xi(1)^2 + 4*xi(1) - 1))/9;
dNdxi2 = (32*xi(1)*xi(2)*xi(3)*(2*xi(1) - 1)*(2*xi(3) + 1)*(8*xi(2)^2 - 5)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1))/9;
dNdxi3 = -(16*xi(1)*(2*xi(1) - 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(- 8*xi(3)^3 - 3*xi(3)^2 + 4*xi(3) + 1))/9;
case 121
dNdxi1 = -(8*xi(1)*xi(3)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) + 1)*(8*xi(1)^2 - 5)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1))/3;
dNdxi2 = -(8*xi(2)*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) + 1)*(8*xi(2)^2 - 5)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1))/3;
dNdxi3 = (4*(4*xi(1)^4 - 5*xi(1)^2 + 1)*(4*xi(2)^4 - 5*xi(2)^2 + 1)*(- 8*xi(3)^3 - 3*xi(3)^2 + 4*xi(3) + 1))/3;
case 122
dNdxi1 = -(16*xi(3)*(2*xi(2) - 1)*(2*xi(2) + 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(1)^3 - 3*xi(1)^2 + 4*xi(1) + 1))/9;
dNdxi2 = (32*xi(1)*xi(2)*xi(3)*(2*xi(1) + 1)*(2*xi(3) + 1)*(8*xi(2)^2 - 5)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1))/9;
dNdxi3 = -(16*xi(1)*(2*xi(1) + 1)*(2*xi(2) - 1)*(2*xi(2) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(- 8*xi(3)^3 - 3*xi(3)^2 + 4*xi(3) + 1))/9;
case 123
dNdxi1 = (64*xi(2)*xi(3)*(2*xi(2) + 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(1)^3 + 3*xi(1)^2 + 4*xi(1) - 1))/27;
dNdxi2 = (64*xi(1)*xi(3)*(2*xi(1) - 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(2)^3 - 3*xi(2)^2 + 4*xi(2) + 1))/27;
dNdxi3 = (64*xi(1)*xi(2)*(2*xi(1) - 1)*(2*xi(2) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(- 8*xi(3)^3 - 3*xi(3)^2 + 4*xi(3) + 1))/27;
case 124
dNdxi1 = (32*xi(1)*xi(2)*xi(3)*(2*xi(2) + 1)*(2*xi(3) + 1)*(8*xi(1)^2 - 5)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1))/9;
dNdxi2 = -(16*xi(3)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(2)^3 - 3*xi(2)^2 + 4*xi(2) + 1))/9;
dNdxi3 = -(16*xi(2)*(2*xi(1) - 1)*(2*xi(1) + 1)*(2*xi(2) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(- 8*xi(3)^3 - 3*xi(3)^2 + 4*xi(3) + 1))/9;
case 125
dNdxi1 = (64*xi(2)*xi(3)*(2*xi(2) + 1)*(2*xi(3) + 1)*(xi(2) - 1)*(xi(2) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(1)^3 - 3*xi(1)^2 + 4*xi(1) + 1))/27;
dNdxi2 = (64*xi(1)*xi(3)*(2*xi(1) + 1)*(2*xi(3) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(3) - 1)*(xi(3) + 1)*(- 8*xi(2)^3 - 3*xi(2)^2 + 4*xi(2) + 1))/27;
dNdxi3 = (64*xi(1)*xi(2)*(2*xi(1) + 1)*(2*xi(2) + 1)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)*(- 8*xi(3)^3 - 3*xi(3)^2 + 4*xi(3) + 1))/27;
end
if( i_eval==2 )
vBase = aInvJac(:,1)*dNdxi1 + aInvJac(:,2)*dNdxi2 + aInvJac(:,3)*dNdxi3;
elseif( i_eval==3 )
vBase = aInvJac(:,4)*dNdxi1 + aInvJac(:,5)*dNdxi2 + aInvJac(:,6)*dNdxi3;
else
vBase = aInvJac(:,7)*dNdxi1 + aInvJac(:,8)*dNdxi2 + aInvJac(:,9)*dNdxi3;
end
case {22,23,24,32,33,34,42,43,44} % Evaluation of second order derivatives.
error('sf_hex_Q4: second order derivative evaluation not supported.')
otherwise
vBase = 0;
end