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sf_quad_H3.m File Reference


SF_QUAD_H3 Third order 2D C1 Hermite shape function for quadrilaterals.

[ VBASE, NLDOF, XLDOF, SFUN ] = SF_QUAD_H3( I_EVAL, N_SDIM, N_VERT, I_DOF, XI, AINVJAC, VBASE ) Evaluates C1 Hermite shape functions on quadrilaterals with values defined in the nodes, cell center. XI are [-1..1]^2 reference coordinates. (Limited to rectangular grid cells.)

Input       Value/[Size]           Description
i_eval      scalar:  1             Evaluate function values
                    >1             Evaluate values of derivatives
n_sdim      scalar:  2             Number of space dimensions
n_vert      scalar:  4             Number of vertices per cell
i_dof       scalar: 1-16           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
vBase       [n]                    Evaluated function values
nLDof       [3,4]                  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
See also