Herb E. Kunze, Davide La Torre
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.
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 |
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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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