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

Banks, H. T.; Kojima, Fumio

doi:10.1090/qam/998101

Authors: H. T. Banks and Fumio Kojima
Journal: Quart. Appl. Math. 47 (1989), 273-293
MSC: Primary 65M99; Secondary 73U05, 93B30
DOI: https://doi.org/10.1090/qam/998101
MathSciNet review: 998101
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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.

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