FEATool  v1.6
Finite Element Analysis Toolbox
 All Files Functions Pages
sf_line_P5.m File Reference


SF_LINE_P5 1D Fifth order Lagrange shape functions for lines (P5).

[ VBASE, NLDOF, XLDOF, SFUN ] = SF_LINE_P5( I_EVAL, N_SDIM, N_VERT, I_DOF, XI, AINVJAC, VBASE ) Evaluates conforming fifth order P5 Lagrange shape functions on 1D line elements with values defined in the nodes and center. XI are Barycentric coordinates.

Input       Value/[Size]           Description
i_eval      scalar:  1             Evaluate function values
                    >1             Evaluate values of derivatives
n_sdim      scalar: 1              Number of space dimensions
n_vert      scalar: 2              Number of vertices per cell
i_dof       scalar: 1-6            Local basis function to evaluate
xi          array [2,1]            Local coordinates of evaluation point
aInvJac     [n,3]                  Inverse of transformation Jacobian
vBase       [n]                    Preallocated output vector
Output      Value/[Size]           Description
vBase       [n]                    Evaluated function values
nLDof       [4]                    Number of local degrees of freedom on
                                   vertices, edges, faces, and cell interiors
xLDof       [2,n_ldof]             Local coordinates of local dofs
sfun        string                 Function name of called shape function