edge

reference element

Description

The edge reference_element is K = [0,1].

    0---------1
         x  

This one-dimensional reference_element is then transformed, after the Piola geometrical application, as a segment in a 1D, 2D or 3D physical space, as a geo_element.

Curved high order transformed geo_element Pk edges (k >= 1) are supported for 2D or 3D geometries. In these cases, the nodes of an high-order edge are numbered as:

  0----2----1     0--2--3--1    0-2-3-4-1
      P2              P3           P4

It means that boundary nodes come first, and then are the internal nodes.

Implementation

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

const size_t dimension = 1;
const Float  measure = 1;
const size_t n_vertex = 2;
const point vertex [n_vertex] = {
        point(0),
        point(1) };