NAME¶

quadrangle - Quadrangular reference element

DESCRIPTION¶

The quadrangular reference element is [-1,1]^2.

NUMBERING¶

      y

      3---------2


      |         |


      |         |


      |         |


      |         |


      0---------1   x

Curved high order Pk quadrangles (k >= 1), in 2d or 3d geometries, are supported. These quadrangles have additional edge-nodes and face-nodes.

THESE NODES ARE NUMBERED AS¶

first vertex, then edge-node, following the edge numbering order and orientation, and finally the face internal nodes, following the quadrangle lattice. See below for edge numbering and orientation.

      3-----6-----2   3---9---8---2


      |           |   |           |


      |           |  10  14  15   7


      7     8     5   |           |


      |           |  11  12  13   6


      |           |   |           |


      0-----4-----1   0---4---5---1


            P2              P3

IMPLEMENTATION¶

const size_t dimension = 2;
const Float  measure = 4;
const size_t n_vertex = 4;
const point vertex [n_vertex] = {


        point(-1,-1),


        point( 1,-1),


        point( 1, 1),


        point(-1, 1) };
const size_t  n_edge = 4;
const size_t edge [n_edge][2] = {


        { 0, 1 },


        { 1, 2 },


        { 2, 3 },


        { 3, 0 } };

COPYRIGHT¶

Copyright (C) 2000-2018 Pierre Saramito <Pierre.Saramito@imag.fr> GPLv3+: GNU GPL version 3 or later <http://gnu.org/licenses/gpl.html>. This is free software: you are free to change and redistribute it. There is NO WARRANTY, to the extent permitted by law.