| OptFEM2DP1 Toolbox 1.2b4 Matlab/Octave Optimized P1-Lagrange Finite Element Method in 2D

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base/ComputeArea.m
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    00001 function area=ComputeArea(q,me)
    00002 % function area=ComputeArea(q,me)
    00003 %   Computation of areas of triangles in the mesh - Basic version
    00004 %
    00005 % Parameters:
    00006 %  q: Array of vertices coordinates, `2\times\nq` array. <br/>
    00007 %  `{\q}(\il,j)` is the
    00008 %  `\il`-th coordinate of the `j`-th vertex, `\il\in\{1,2\}` and
    00009 %  `j\in\ENS{1}{\nq}`
    00010 %  me: Connectivity array, `3\times\nme` array.<br/>
    00011 %  `\me(\jl,k)` is the storage index of the
    00012 %  `\jl`-th  vertex of the `k`-th triangle in the array `\q` of vertices coordinates, `\jl\in\{1,2,3\}` and
    00013 %       `k\in{\ENS{1}{\nme}}`.
    00014 %
    00015 % Return values:
    00016 %  area: Array of areas, `1\times\nme` array. area(k) is the area of the `k`-th triangle.
    00017
    00018 % Copyright:
    00019 %   See \ref license
    00020 nq=size(q,2);
    00021 nme=size(me,2);
    00022 area=zeros(1,nme);
    00023 for k=1:nme
    00024   area(k).5*abs(det([ q(1,me(1,k))  q(2,me(1,k)) 1 ; ...
    00025                         q(1,me(2,k))  q(2,me(2,k)) 1 ; ...
    00026                         q(1,me(3,k))  q(2,me(3,k)) 1 ]));
    00027 end

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