---
name: "prism"
section: "6rheolef"
platform: "linux"
package: "librheolef-dev"
version: "7.2-4"
release: "Debian 13 (Trixie)"
platforms: ["linux"]
url: "https://new.carta.tech/prism"
---

# prism(6rheolef)

reference element (rheolef-7.2)

## NAME

prism - reference element (rheolef-7.2)

## DESCRIPTION

The prism **reference\_element(6)** is

```
    K = { 0 < x < 1 and 0 < y < 1-x and -1 < z < 1 }
            x2
            3 ---- 5
         '  | .    |
      4 .  '|      |
      |     |      |
      |     |      |
      |     0 . . .2    x1
      |  '    .
      1 .  '
    x0
```

 The orientation is such that trihedral (01, 02, 03) is direct and all faces, see from exterior, are in the direct sens. See

```
    P. L. Georges,
    Generation automatique de maillages,
    page 24, coll RMA, 16, Masson, 1994.
```

 This three-dimensional **reference\_element(6)** is then transformed, after the Piola geometrical application, as a prism in a 3D physical space, as a **geo\_element(6)**.

Curved high order transformed **geo\_element(6)** Pk prisms (k \>= 1) are supported for 2D or 3D geometries.

## IMPLEMENTATION

This documentation has been generated from file fem/geo\_element/prism.icc

```
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 } };
```

## AUTHOR

Pierre  Saramito  \<Pierre.Saramito@imag.fr\>

## 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.