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sf_tet_P4.m File Reference

Description

SF_TET_P4 Fourth order Lagrange shape functions for tetrahedra (P4).

[ VBASE, NLDOF, XLDOF, SFUN ] = SF_TET_P4( I_EVAL, N_SDIM, N_VERT, I_DOF, XI, AINVJAC, VBASE ) Evaluates conforming fourth order P4 Lagrange shape functions on 3D tetrahedral elements with values defined in the nodes, edges, faces, and cell center. XI are Barycentric 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: 4              Number of vertices per cell
i_dof       scalar: 1-35           Local basis function to evaluate
xi          array [4,1]            Local coordinates of evaluation point
aInvJac     [n,12]                 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       [4,n_ldof]             Local coordinates of local dofs
sfun        string                 Function name of called shape function