GetMaxLengthEdges.m

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function h=GetMaxLengthEdges(q,me)
% function h=GetMaxLengthEdges(q,me)
%   Computation of the maximal value of edge lengths
%   
% Parameters:
%  q: Array of vertices coordinates, `2\times\nq` array (double). <br/>
%  `{\q}(\il,j)` is the
%  `\il`-th coordinate of the `j`-th vertex, `\il\in\{1,2\}` and
%  `j\in\ENS{1}{\nq}`
%  me: Connectivity array, `3\times\nme` array ('int32'). <br/>
%  `\me(\jl,k)` is the storage index of the
%  `\jl`-th  vertex of the `k`-th triangle in the array `\q` of vertices coordinates, `\jl\in\{1,2,3\}` and
%       `k\in{\ENS{1}{\nme}}`.
% 
% Return values:
%  h: maximal length of an edge in the mesh
%
% OptFEM2DP1 [V1.2b1] -    Copyright (C) 2013  CJS (LAGA)
%
%   This file is part of OptFEM2DP1.
%   OptFEM2DP1 is free software: you can redistribute it and/or modify
%   it under the terms of the GNU General Public License as published by
%   the Free Software Foundation, either version 3 of the License, or
%   (at your option) any later version.
%
%   OptFEM2DP1 is distributed in the hope that it will be useful,
%   but WITHOUT ANY WARRANTY; without even the implied warranty of
%   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
%   GNU General Public License for more details.
%
%   You should have received a copy of the GNU General Public License
%   along with this program.  If not, see <http://www.gnu.org/licenses/>.
U=q(:,me(1,:))-q(:,me(2,:));
V=q(:,me(2,:))-q(:,me(3,:));
W=q(:,me(3,:))-q(:,me(1,:));

h=sqrt(max([sum(U.^2,1),sum(W.^2,1),sum(W.^2,1)]));