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sfnoncon1.m File Reference


SFNONCON1 Shape function driver (first order P1/Q1 Lagrange polynomials).

[ VBASE, NLDOF, XLDOF, SFUN ] = SFNONCON1( I_EVAL, N_SDIM, N_VERT, I_DOF, XI, AINVJAC, VBASE ) Evaluates nonconforming linear (P-1/Q1~) shape functions with degrees of freedom defined on the cell edges/faces.

Input       Value/[Size]           Description
i_eval      scalar:  1             Evaluate function values
                    >1             Evaluate values of derivatives
n_sdim      scalar: 2-3            Number of space dimensions
n_vert      scalar: 2-8            Number of vertices per cell
i_dof       scalar: 1-n_ldof       Local basis function to evaluate
xi          [n_sdim(+1)]           Local coordinates of evaluation point
aInvJac     [n,n_sdim(+1)*n_sdim]  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       [n_sdim,n_ldof]        Local coordinates of local dofs
sfun        string                 Function name of called shape function
See also
sf_simp_P1nc, sf_quad_Q1nc, sf_hex_Q1nc

Code listing

 if ( n_sdim==1 )

   error('sfnoncon1: 1D nonconforming shape functions not supported.')

 elseif ( n_vert==n_sdim+1 )   % Simplex cells (2D triangle or 3D tetrahedron).

   [vBase,nLDof,xLDof,sfun] = sf_simp_P1nc(i_eval,n_sdim,n_vert,varargin{:});


   switch n_sdim

     case 2   % 2D Quadrilateral cells.

       [vBase,nLDof,xLDof,sfun] = sf_quad_Q1nc(i_eval,n_sdim,n_vert,varargin{:});

     case 3   % 3D Hedahedral cells.

       [vBase,nLDof,xLDof,sfun] = sf_hex_Q1nc(i_eval,n_sdim,n_vert,varargin{:});