Herb E. Kunze, Davide La Torre
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.
Submitted August 21, 2014. Published February 17, 2015.
Math Subject Classifications: 35R30, 35J25, 35B27.
Key Words: Inverse problem; collage theorem; perforated domain.
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| Herb E. Kunze |
Department of Mathematics and Statistics
University of Guelph
Guelph, Ontario, Canada
| Davide La Torre |
Department of Economics, Management, and Quantitative Methods
University of Milan
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