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plot gradient of pde

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d
d 2016-2-1
评论： Alan Weiss 2016-2-10
Hi,
1) I solved the laplace equation and found the electric field using:
u= assempde(b,p,e,t,c,a,f); %laplace equation on rectangle geometry
[Ex,Ez] = pdegrad(p,t,-u); %find electric field
ugrad = [Ex;Ez];
how to plot Ex and Ez as a function of (x,z) (seperatly, not as a quiver plot)?
  • using tri2grid and plot it with "surf" is not an opption becouse the grid is very very large and it takes a lot of time to execute "tri2grid".
2) how can I find the values of Ex,Ez,U at the boundaries without using "tri2grid"?
  • eventualy I need just the solution of U,Ex,Ez at the bounderies

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回答（1 个）

Alan Weiss
Alan Weiss 2016-2-8
Use pdeplot with the xydata name-value pair set to Ex or Ez. You could even set xydata to Ex and zdata to Ez.
Alan Weiss
MATLAB mathematical toolbox documentation
  2 个评论
d
d 2016-2-9
But as I understood, Ez is evaluated at the center of each triangle t.
when I'm Using
pdeplot(p,e,t,'xydata',Ex);
doesn't it supposed to plot the values at the POINTS p?
Alan Weiss
Alan Weiss 2016-2-10
Did you try my suggestion? It works for me:
[p,e,t] = initmesh(@lshapeg);
u = assempde(@lshapeb,p,e,t,1,0,1);
[ux,uy] = pdegrad(p,t,u);
pdeplot(p,e,t,'xydata',ux,'zdata',uy)
Look in the documentation, you see that you can give point OR triangle data to pdeplot.
Alan Weiss
MATLAB mathematical toolbox documentation

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