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

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base/MassAssembling2DP1base.m
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    00001 function M=MassAssembling2DP1base(nq,nme,me,areas)
    00002 % function M=MassAssembling2DP1base(nq,nme,me,areas)
    00003 %   Assembly of the Mass Matrix by `P_1`-Lagrange finite elements
    00004 %   - Basic version (see report).
    00005 %
    00006 %   The Mass Matrix `\Masse` is given by
    00007 %   ``\Masse_{i,j}=\int_\DOMH \FoncBase_i(\q)\, \FoncBase_j(\q)\, d\q,\ \forall (i,j)\in{\ENS{1}{\nq}}^2``
    00008 %   where `\FoncBase_i` are `P_1`-Lagrange basis functions.
    00009 % Parameters:
    00010 %  nq: total number of nodes of the mesh, also denoted by `\nq`,
    00011 %  nme: total number of triangles, also denoted by `\nme`,
    00012 %  me: Connectivity array, `3\times\nme` array. <br/>
    00013 %  `\me(\jl,k)` is the storage index of the
    00014 %  `\jl`-th  vertex of the `k`-th triangle in the array `\q`, `\jl\in\{1,2,3\}` and
    00015 %       `k\in{\ENS{1}{\nme}}`.
    00016 %  areas: Array of areas, `1\times\nme` array. areas(k) is the area of the `k`-th triangle.
    00017 %
    00018 % Return values:
    00019 %  M: Global mass matrix, `\nq\times\nq` sparse matrix.
    00020 %
    00021 % Example:
    00022 %  @verbatim
    00023 %    Th=SquareMesh(10);
    00024 %    M=MassAssembling2DP1base(Th.nq,Th.nme,Th.me,Th.areas);
    00025 %  @endverbatim
    00026 %
    00027 % See also:
    00028 %   #ElemMassMat2DP1
    00029 % Copyright:
    00030 %   See \ref license
    00031 M=sparse(nq,nq);
    00032 for k=1:nme
    00033     E=ElemMassMat2DP1(areas(k));
    00034     for il=1:3
    00035         i=me(il,k);
    00036         for jl=1:3
    00037             j=me(jl,k);
    00038             M(i,j)=M(i,j)+E(il,jl);
    00039         end
    00040     end
    00041 end

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