NAME
quadrangle - reference element (rheolef-7.2)
DESCRIPTION
The quadrangle reference_element(6) is K = [-1,1]^2.
x1
3---------2
| |
| |
| |
| |
0---------1---> x0
This two-dimensional reference_element(6) is then transformed, after the Piola geometrical application, as a quadrangle in a 2D or 3D physical space, as a geo_element(6).
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.
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
This documentation has been generated from file fem/geo_element/quadrangle.icc
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 } };
AUTHOR
Pierre Saramito <Pierre.Saramito [AT] imag.fr>
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.