Boundary shape identification problems in two-dimensional domains related to thermal testing of materials

Author:

Banks H. T.,Kojima Fumio

Abstract

This paper is concerned with the identification of the geometrical structure of the system boundary for a two-dimensional diffusion system. The domain identification problem treated here is converted into an optimization problem based on a fit-to-data criterion and theoretical convergence results for approximate identification techniques are discussed. Results of numerical experiments to demonstrate the efficacy of the theoretical ideas are reported.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics

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