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Journal Articles Discrete and Continuous Dynamical Systems - Series B Year : 2024

Robust obstacle reconstruction in an elastic medium

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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Marc Dambrine, Viacheslav Karnaev. Robust obstacle reconstruction in an elastic medium. Discrete and Continuous Dynamical Systems - Series B, 2024, 29 (1), pp.151-173. ⟨10.3934/dcdsb.2023089⟩. ⟨hal-03614896⟩
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