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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 [AT] 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.