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

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Opt/ComputeAreaOpt.m
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    00001 function area=ComputeAreaOpt(q,me)
    00002 % function area=ComputeAreaOpt(q,me)
    00003 %   Computation of areas of triangles in the mesh
    00004 %   - Optimized version
    00005 %
    00006 % Parameters:
    00007 %  q: Array of vertices coordinates, `2\times\nq` array. <br/>
    00008 %  `{\q}(\il,j)` is the
    00009 %  `\il`-th coordinate of the `j`-th vertex, `\il\in\{1,2\}` and
    00010 %  `j\in\ENS{1}{\nq}`
    00011 %  me: Connectivity array, `3\times\nme` array.<br/>
    00012 %  `\me(\jl,k)` is the storage index of the
    00013 %  `\jl`-th  vertex of the `k`-th triangle in the array `\q` of vertices coordinates, `\jl\in\{1,2,3\}` and
    00014 %       `k\in{\ENS{1}{\nme}}`.
    00015 %
    00016 % Return values:
    00017 %  area: Array of areas, `1\times\nme` array. area(k) is the area of the `k`-th triangle.
    00018 % Copyright:
    00019 %   See \ref license
    00020 c1 = q(:,me(1,:));
    00021 d21 = q(:,me(2,:))-c1;
    00022 d31 = q(:,me(3,:))-c1;
    00023 area = 0.5*(d21(1,:).*d31(2,:)-d21(2,:).*d31(1,:));

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