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
Collage-type approach to inverse problems for elliptic PDEs on perforated domains / H. E. Kunze, D. La Torre. - In: ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS. - ISSN 1072-6691. - 2015(2015 Feb 17), pp. 48.1-48.11.
Collage-type approach to inverse problems for elliptic PDEs on perforated domains
D. La TorreUltimo
2015
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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