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sf_line_H3.m File Reference


SF_LINE_H3 Third order 1D C1 Hermite shape functions for lines.

[ VBASE, NLDOF, XLDOF, SFUN ] = SF_LINE_H3( I_EVAL, N_SDIM, N_VERT, I_DOF, XI, AINVJAC, VBASE ) Evaluates C1 Hermite shape functions on 1D line elements with value and first derivatives defined in the nodes. 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: 1-4            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       [2,4]                  Number of local degrees of freedom on
                                   vertices, edges, faces, cell interiors,
                                   and vertices without boundary conditions
xLDof       [2,n_ldof]             Local coordinates of local dofs
sfun        string                 Function name of called shape function