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

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base/MassWAssembling2DP1base.m
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    00001 function M=MassWAssembling2DP1base(nq,nme,me,areas,Tw)
    00002 % function M=MassWAssembling2DP1base(nq,nme,me,areas,Tw)
    00003 %   Assembly of the Weighted Mass Matrix by `P_1`-Lagrange finite elements
    00004 %   - Basic version (see report).
    00005 %
    00006 %   The Weighted Mass Matrix `\MasseF{w}` is given by
    00007 %   ``\MasseF{w}_{i,j}=\int_\DOMH w(\q)\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 %  Tw: Array of vertices weight `w` function values,
    00018 %  `1\times\nq` array.<br/>
    00019 %  `Tw(i)=w(\q^i),` `\forall i\in\ENS{1}{\nq}`.
    00020 %
    00021 % Return values:
    00022 %  M: Global weighted mass matrix, `\nq\times\nq` sparse matrix.
    00023 %
    00024 % Example:
    00025 %  @verbatim
    00026 %    Th=SquareMesh(10);
    00027 %    w=@(x,y) cos(x+y);
    00028 %    Tw=w(Th.q(1,:),Th.q(2,:));
    00029 %    Mw=MassWAssembling2DP1base(Th.nq,Th.nme,Th.me,Th.areas,Tw);
    00030 %  @endverbatim
    00031 %
    00032 % See also:
    00033 %   #ElemMassWMat2DP1
    00034 % Copyright:
    00035 %   See \ref license
    00036 M=sparse(nq,nq);
    00037 for k=1:nme
    00038     for il=1:3
    00039         i=me(il,k);
    00040         Twloc(il)=Tw(i);
    00041     end
    00042     E=ElemMassWMat2DP1(areas(k),Twloc);
    00043     for il=1:3
    00044         i=me(il,k);
    00045         for jl=1:3
    00046             j=me(jl,k);
    00047             M(i,j)=M(i,j)+E(il,jl);
    00048         end
    00049     end
    00050 end

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