45 lines
1.3 KiB
Matlab
45 lines
1.3 KiB
Matlab
function [Ex,Ey]=GetExEy(node,elem,EdgesOfElements,Et)
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Elements = elem;
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NbrElement=max(size(Elements));
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%绘制
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u=[0,1,0];v=[0,0,1];
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NbrNodes=length(node);
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Ex=zeros(NbrNodes,1);
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Ey=zeros(NbrNodes,1);
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numEt=zeros(NbrNodes,1);
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for n=1:NbrElement
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%节点坐标
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x=zeros(3,1);y=zeros(3,1);l=zeros(3,1);
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x(1)=node(Elements(1,n),1);y(1)=node(Elements(1,n),2);
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x(2)=node(Elements(2,n),1);y(2)=node(Elements(2,n),2);
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x(3)=node(Elements(3,n),1);y(3)=node(Elements(3,n),2);
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l(1)=sqrt((x(1)-x(2))*(x(1)-x(2))+(y(1)-y(2))*(y(1)-y(2)));
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l(2)=sqrt((x(1)-x(3))*(x(1)-x(3))+(y(1)-y(3))*(y(1)-y(3)));
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l(3)=sqrt((x(2)-x(3))*(x(2)-x(3))+(y(2)-y(3))*(y(2)-y(3)));
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%雅可比矩阵
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Jac=zeros(3,3);
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Jac(1,1)=x(2)-x(1);Jac(1,2)=y(2)-y(1);
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Jac(2,1)=x(3)-x(1);Jac(2,2)=y(3)-y(1);Jac(3,3)=1;
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InvJac=inv(Jac);
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%基函数
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temp=zeros(3,1);et=zeros(3,3,3);
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for i=1:3
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for j=1:3
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[temp(1),temp(2)]=BF_Et(j,u(i),v(i));temp(3)=0;
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et(i,:,j)=InvJac*temp*l(j);
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end
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end
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%数值解
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for i=1:3
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for j=1:3
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Ex(Elements(i,n))=Ex(Elements(i,n))+et(i,1,j)*Et(EdgesOfElements((n-1)*3+j));
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Ey(Elements(i,n))=Ey(Elements(i,n))+et(i,2,j)*Et(EdgesOfElements((n-1)*3+j));
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end
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numEt(Elements(i,n))=numEt(Elements(i,n))+1;
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end
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end
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Ex=Ex./numEt;
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Ey=Ey./numEt;
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end |