.TH "prism" 6rheolef "Sat Mar 13 2021" "Version 7.1" "rheolef" \" -*- nroff -*-
.ad l
.nh
.SH NAME
prism \- reference element (rheolef-7\&.1)
.PP
.SH "DESCRIPTION"
The prism \fBreference_element(6)\fP is 
.PP
.nf
    K = { 0 < x < 1 and 0 < y < 1-x and -1 < z < 1 }

            x2

            3 ---- 5
         '  | .    |
      4 .  '|      |
      |     |      |
      |     |      |
      |     0 . . .2    x1
      |  '    .
      1 .  '

    x0

.fi
.PP
 The orientation is such that trihedral (01, 02, 03) is direct and all faces, see from exterior, are in the direct sens\&. See 
.PP
.nf
    P. L. Georges, 
    Generation automatique de maillages,
    page 24, coll RMA, 16, Masson, 1994.

.fi
.PP
 This three-dimensional \fBreference_element(6)\fP is then transformed, after the Piola geometrical application, as a prism in a 3D physical space, as a \fBgeo_element(6)\fP\&.
.PP
Curved high order transformed \fBgeo_element(6)\fP Pk prisms (k >= 1) are supported for 2D or 3D geometries\&.
.SH "IMPLEMENTATION"
This documentation has been generated from file fem/geo_element/prism\&.icc
.PP
.PP
.nf
const size_t dimension = 3;
const Float  measure = 1;
const size_t n_vertex = 6;
const point vertex [n_vertex] = {
        point( 0, 0,-1 ),
        point( 1, 0,-1 ),
        point( 0, 1,-1 ),
        point( 0, 0, 1 ),
        point( 1, 0, 1 ),
        point( 0, 1, 1 ) };
const size_t  n_face = 5;
const size_t face [n_face][4] = {
        { 0, 2, 1, size_t(-1) },
        { 3, 4, 5, size_t(-1) },
        { 0, 1, 4, 3 },
        { 1, 2, 5, 4 },
        { 0, 3, 5, 2 } };
const size_t  n_edge = 9;
const size_t edge [n_edge][2] = {
        { 0, 1 },
        { 1, 2 },
        { 2, 0 },
        { 0, 3 },
        { 1, 4 },
        { 2, 5 },
        { 3, 4 },
        { 4, 5 },
        { 5, 3 } };
.fi
.PP

.SH AUTHOR
Pierre  Saramito  <Pierre.Saramito@imag.fr>
.SH COPYRIGHT
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.