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A numerical method for heat conduction in shape reconstruction

โœ Scribed by Wen-Jing Yan; Yi-Chen Ma

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
498 KB
Volume
22
Category
Article
ISSN
0893-9659

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โœฆ Synopsis

This paper is concerned with the problem of the shape reconstruction of the inverse problem for heat conduction with two different boundary conditions in a multiple connected bounded domain. We derive the representation for domain derivative of the corresponding operator. This allows the investigation of the iterative regularization methods solving such ill-posed and nonlinear problem. The numerical examples show that our theory is useful for practical purpose and the proposed algorithm is feasible.

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## Abstract We consider the inverse problem of reconstructing the interior boundary curve of a cavity from the knowledge of the measurements on the exterior boundary. The domain derivative of the corresponding operator is presented, and this allows the investigation of the regularized Newton method