Electron. J. Diff. Equ., Vol. 2015 (2015), No. 48, pp. 1-11.

Collage-type approach to inverse problems for elliptic PDEs on perforated domains

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
email: hkunze@uoguelph.ca
Davide La Torre
Department of Economics, Management, and Quantitative Methods
University of Milan
Milan, Italy
email: davide.latorre@unimi.it, davide.latorre@kustar.ac.ae

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