NAME

quadrangle - reference element (rheolef-7.2)

DESCRIPTION

The quadrangle reference_element(6) is K = [-1,1]^2.

    x1


    3---------2


    |         |


    |         |


    |         |


    |         |


    0---------1--->  x0

This two-dimensional reference_element(6) is then transformed, after the Piola geometrical application, as a quadrangle in a 2D or 3D physical space, as a geo_element(6).

Curved high order Pk quadrangles (k >= 1), in 2D or 3D geometries, are supported. These quadrangles have additional edge-nodes and face-nodes. These nodes are numbered as: first vertex, then edge-node, following the edge numbering order and orientation, and finally the face internal nodes, following the quadrangle lattice.

    3-----6-----2   3---9---8---2  


    |           |   |           | 


    |           |  10  14  15   7


    7     8     5   |           |


    |           |  11  12  13   6


    |           |   |           |


    0-----4-----1   0---4---5---1


          P2              P3

IMPLEMENTATION

This documentation has been generated from file fem/geo_element/quadrangle.icc

const size_t dimension = 2;
const Float  measure = 4;
const size_t n_vertex = 4;
const point vertex [n_vertex] = {


        point(-1,-1),


        point( 1,-1),


        point( 1, 1),


        point(-1, 1) };
const size_t  n_edge = 4;
const size_t edge [n_edge][2] = {


        { 0, 1 },


        { 1, 2 },


        { 2, 3 },


        { 3, 0 } };

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.