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Robust obstacle reconstruction in an elastic medium

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Vyacheslav Karnaev
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Abstract

We study the inverse problem of the reconstruction of an obstacle in an elastic media from boundary measurements. We assume that the data is noised and that a statistical model for the data is at hand. We propose and study a reconstruction algorithm based a weighted combination of the first two moments of the Kohn-Vogelius criterion. By numerical results in dimension two, the applicability and feasibility of our approach is demonstrated.
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Dates and versions

hal-03614896 , version 1 (21-03-2022)

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  • HAL Id : hal-03614896 , version 1

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Marc Dambrine, Vyacheslav Karnaev. Robust obstacle reconstruction in an elastic medium. 2022. ⟨hal-03614896⟩
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