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The Linear Sampling Method for Kirchhoff-Love Infinite Plates

Laurent Bourgeois 1 Arnaud Recoquillay 2 
1 POEMS - Propagation des Ondes : Étude Mathématique et Simulation
Inria Saclay - Ile de France, UMA - Unité de Mathématiques Appliquées, CNRS - Centre National de la Recherche Scientifique : UMR7231
2 LISE - Laboratoire d'Ingénierie dirigée par les modèles pour les Systèmes Embarqués
DILS - Département Ingénierie Logiciels et Systèmes : DRT/LIST/DILS
Abstract : 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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Submitted on : Friday, August 23, 2019 - 2:14:54 PM
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Laurent Bourgeois, Arnaud Recoquillay. The Linear Sampling Method for Kirchhoff-Love Infinite Plates. Inverse Problems and Imaging , AIMS American Institute of Mathematical Sciences, 2020, ⟨10.3934/ipi.2020065⟩. ⟨hal-02269910⟩



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