Converting this 3-nested for loop for parfor

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The context is a finite element assembly routine where I need to loop over a bunch of mesh elements. In principle, each iteration computes a small local matrix (3x3 in this case) and inserts it into the much larger global matrix according to the indices ie and je.
The iterations are completely independent of each other as I'm pretty sure as my code stands now, it could run through the outer loop in any order without any problems. But of course, this version isn't accepted by MATLAB for parfor format. Can anyone help me out here?
NLoc = 3;
Klocal = zeros(NLoc);
blocal = zeros(NLoc,1);
Aglobal = zeros(NLoc*nElem);
bglobal = zeros(NLoc*nElem,1);
for k=1:nElem
kk = NLoc*(k-1);
Klocal = function1(nElem,k);
blocal = function2(nElem,k);
for i=1:NLoc
ie = i+kk;
bglobal(ie) = bglobal(ie) + blocal(i);
for j=1:NLoc
je = j+kk;
Aglobal(ie,je) = Aglobal(ie,je) + Klocal(i,j);
end
end
end

采纳的回答

Matt J
Matt J 2013-11-9
编辑:Matt J 2013-11-9
If I'm interpreting it right, it looks like
Aglobal = cell(nElem,1);
bglobal = cell(nElem,1);
parfor k=1:nElem
Aglobal{k}=function1(nElem,k);
bglobal{k}=function2(nElem,k);
end
Aglobal=blkdiag(Aglobal{:});
bglobal=cell2mat(bglobal);
  3 个评论
Matt J
Matt J 2013-11-9
You can create an MxN cell array to hold the blocks and fill them as you wish. Essentially, the same was done above with bglobal, which was not block diagonal.
Justin
Justin 2013-11-10
Do you think you could take a look? I'm still not sure I'm understanding how t do it when the matrices need to be inserted in a non-diagonal manner. I understand how to do so for bglobal since essentially each member of the cell array was just inserted right after one another.

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