tetra(9)

NAME

Tetraedra reference element

DESCRIPTION

The tetraedra reference element is
K = { 0 < x < 1 and 0 < y < 1-x and 0 < z < 1-x-y }

NUMBERING

The orientation is such that triedra (01, 02, 03) is direct, and all faces, see from exterior, are in the direct sens. References: P. L. Georges, "Generation automatique de maillages", page 24-, coll RMA, 16, Masson, 1994.
z
3
/| +
/ | +
/ | +
/ 0 . . .2 y
/ ' .
1 . '
x

IMPLEMENTATION

const size_t dimension = 3;
const Float measure = Float(1.)/Float(6.);
const size_t n_vertex = 4;
const Float vertex [n_vertex][dimension] = {
{ 0, 0, 0 },
{ 1, 0, 0 },
{ 0, 1, 0 },
{ 0, 0, 1 } };
const size_t n_face = 4;
const size_t face [n_face][3] = {
{ 0, 2, 1 },
{ 0, 3, 2 },
{ 0, 1, 3 },
{ 1, 2, 3 } };
const size_t n_edge = 6;
const size_t edge [n_edge][2] = {
{ 0, 1 },
{ 1, 2 },
{ 2, 0 },
{ 0, 3 },
{ 1, 3 },
{ 2, 3 } };
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