| OptFEM2D Toolbox for Matlab V1.2b1 Matlab/Octave Optimized P1-Lagrange Finite Element Method in 2D

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ComputeArea.m
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1 function area=ComputeArea(q,me)
2 % function area=ComputeArea(q,me)
3 % Computation of areas of triangles in the mesh - Basic version
4 %
5 % Parameters:
6 % q: Array of vertices coordinates, `2\times\nq` array. <br/>
7 % `{\q}(\il,j)` is the
8 % `\il`-th coordinate of the `j`-th vertex, `\il\in\{1,2\}` and
9 % `j\in\ENS{1}{\nq}`
10 % me: Connectivity array, `3\times\nme` array.<br/>
11 % `\me(\jl,k)` is the storage index of the
12 % `\jl`-th vertex of the `k`-th triangle in the array `\q` of vertices coordinates, `\jl\in\{1,2,3\}` and
13 % `k\in{\ENS{1}{\nme}}`.
14 %
15 % Return values:
16 % area: Array of areas, `1\times\nme` array. area(k) is the area of the `k`-th triangle.
17
18 %
19 % OptFEM2DP1 [V1.2b1] - Copyright (C) 2013 CJS (LAGA)
20 %
21 % This file is part of OptFEM2DP1.
22 % OptFEM2DP1 is free software: you can redistribute it and/or modify
23 % it under the terms of the GNU General Public License as published by
24 % the Free Software Foundation, either version 3 of the License, or
25 % (at your option) any later version.
26 %
27 % OptFEM2DP1 is distributed in the hope that it will be useful,
28 % but WITHOUT ANY WARRANTY; without even the implied warranty of
29 % MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
30 % GNU General Public License for more details.
31 %
32 % You should have received a copy of the GNU General Public License
33 % along with this program. If not, see <http://www.gnu.org/licenses/>.
34 nq=size(q,2);
35 nme=size(me,2);
36 area=zeros(1,nme);
37 for k=1:nme
38 area(k).5*abs(det([ q(1,me(1,k)) q(2,me(1,k)) 1 ; ...
39 q(1,me(2,k)) q(2,me(2,k)) 1 ; ...
40 q(1,me(3,k)) q(2,me(3,k)) 1 ]));
41 end