NAME
triangle - reference element (rheolef-7.2)
DESCRIPTION
The triangle reference_element(6) is K = [0,1].
K = { 0 < x0 < 1 and 0 < x1 < 1-x0 }
x1
2
| +
| +
| +
| +
0---------1 x0
This two-dimensional reference_element(6) is then transformed, after the Piola geometrical application, as a triangle in a 2D or 3D physical space, as a geo_element(6).
Curved high order transformed geo_element(6) Pk triangle (k >= 1) are supported for 2D or 3D geometries. In these cases, the nodes of an high-order triangle are numbered as:
Note that high-order triangles have additional edge-nodes and face-nodes. These nodes are numbered as: first vertices, then edge-nodes, following the edge numbering order and orientation, and finally the face internal nodes, following the triangle lattice.
2 2 2
| + | + | +
| + 7 6 9 8
5 4 | + 10 14 7
| + 8 9 5 11 12 13 6
| + | + | +
0-----3-----1 0---3---4---1 0--3--4--5--1
P2 P3 P4
IMPLEMENTATION
This documentation has been generated from file fem/geo_element/triangle.icc
const size_t
dimension = 2;
const Float measure = 0.5;
const size_t n_vertex = 3;
const point vertex [n_vertex] = {
point(0, 0),
point(1, 0),
point(0, 1) };
const size_t n_edge = 3;
const size_t edge [n_edge][2] = {
{ 0, 1 },
{ 1, 2 },
{ 2, 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.