On 08/27/2018 06:58 PM, Loylick wrote:
Thank you, Wolfgang, for your suggestion. I've read step-11 tutorial but I
still can not figure out what kind of constraints I can impose in my case.
What does the literature suggest how to handle this situation?
Here is a picture of a void with enriched nodes. Blue triangls are enriched
with Heaviside function, red rectangles are zero degrees of freedom.
When there are no whole cells inside a void (only cells intersected by the
boundary are inside a void) I have a regular solution.
You mean you have a solution for the blue cases but not the red ones?
If at least one cell
is inside a void entirly (no intersection with void's boundary) I get a
singular matrix. Correct me if I'm wrong, I think I could put one (or some) of
enriched nodes
inside a void to be zero and constrain red rectangle nodes to be equal to some
neighbor nodes with enrichment. Or I'm missing something and there is a "right"
way to treat this case?
Possibly. But I don't know what the mathematical analysis suggests you can or
cannot do. As I mentioned, it would be useful to know what other people have
done before.
Best
W.
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Wolfgang Bangerth email: bange...@colostate.edu
www: http://www.math.colostate.edu/~bangerth/
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