DOKK / manpages / debian 10 / librheolef-dev / triangle.7rheolef.en
triangle(7rheolef) rheolef-7.0 triangle(7rheolef)

triangle - Triangle reference element

The triangle reference element is


K = { 0 < x < 1 and 0 < y < 1-x }


y

2
| +
| +
| +
| +
0---------1 x

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


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


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

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 } };

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.

rheolef-7.0 rheolef-7.0