collage-type approach to inverse problems for elliptic pdes on perforated domains
Abstract
We present a collage-based method for solving inverse problems
for elliptic partial differential equations on a perforated domain.
The main results of this paper establish a link between the solution
of an inverse problem on a perforated domain and the solution of the
same model on a domain with no holes. The numerical examples at the end
of the paper show the goodness of this approach.
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256361
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