On 4/26/19 9:48 AM, Gary Uppal wrote:
> 
> Thanks for the reply. I get problems on less distorted meshes as well. 
> For example, in the mesh with a hole shown below.  I eventually need 
> multiple holes and an advection term. Actually, the advection seems ok 
> and I mainly get issues when the diffusion is large. If the distorted 
> mesh is the issue, is there a better way to construct the geometry?

No, your mesh is reasonable. The question is not whether the error is 
large on cells that are not squares (it may be -- the finite element 
theory doesn't ever guarantee that the error is *small* on any given 
cell of any given mesh), but whether you get the *correct convergence 
order*. So looking at the solution on a single mesh is not a useful 
strategy -- the question is how the error decays as you refine the mesh.

Best
  W.


-- 
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Wolfgang Bangerth          email:                 [email protected]
                            www: http://www.math.colostate.edu/~bangerth/

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