📄 egauss.m
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function [gs] = egauss(xc,conn,gauss,numcell)
% routine to set up gauss points, jacobian, and weights
index=0;
one = ones(1,4);
psiJ = [-1,+1,+1,-1]; etaJ = [-1,-1,+1,+1];
l = size(gauss);
l = l(2);
for e=1:numcell
% DETERMINE NODES IN EACH CELL
for j = 1:4
je=conn(j,e);xe(j)=xc(1,je);ye(j)=xc(2,je);
end
for i=1:l
for j=1:l
index = index+1;
eta=gauss(1,i);psi=gauss(1,j);
N = .25*(one+psi*psiJ).*(one+eta*etaJ);
NJpsi=.25*psiJ.*(one+eta*etaJ);
NJeta=.25*etaJ.*(one+psi*psiJ);
xpsi=NJpsi*xe';ypsi=NJpsi*ye';xeta=NJeta*xe';yeta=NJeta*ye';
jcob=xpsi*yeta-xeta*ypsi;
xq = N*xe';yq = N*ye';
gs(1,index) = xq;
gs(2,index) = yq;
gs(3,index) = gauss(2,i)*gauss(2,j);
gs(4,index) = jcob;
end
end
end
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