The Linear Sampling Method for Kirchhoff-Love infinite plates
Author(s) -
Laurent Bourgeois,
Arnaud Recoquillay
Publication year - 2020
Publication title -
inverse problems and imaging
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.755
H-Index - 40
eISSN - 1930-8345
pISSN - 1930-8337
DOI - 10.3934/ipi.2020016
Subject(s) - uniqueness , sampling (signal processing) , context (archaeology) , inverse problem , computer science , mathematics , mathematical analysis , geology , telecommunications , paleontology , detector
This paper addresses the problem of identifying impenetrable obstacles in a Kirchhoff-Love infinite plate from multistatic near-field data. The Linear Sampling Method is introduced in this context. We firstly prove a uniqueness result for such an inverse problem. We secondly provide the classical theoretical foundation of the Linear Sampling Method. We lastly show the feasibility of the method with the help of numerical experiments.
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