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By Donald L. Brown, Mark Hubenthal and Advisor Dr. Kurt Bryan

Abstract

This paper considers the inverse problem of locating one or more circular inclusions in a two-dimensional domain using thermal boundary data, specifically, the input heat flux and measured boundary temperature. The forward problem is governed by the heat equation. We show how the position and size of such defects can be recovered using the boundary data of D and various approximations of the solution to the forward problem. We also consider the stability of the algorithm involved to recover the defects

Year: 2005
OAI identifier: oai:CiteSeerX.psu:10.1.1.135.345
Provided by: CiteSeerX
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