The linear sampling method for kirchhoff-love infinite plates

Laurent Bourgeois; Arnaud Recoquillay

doi:10.3934/ipi.2020016

The linear sampling method for kirchhoff-love infinite plates

Laurent Bourgeois
, Arnaud Recoquillay

CEA/UVSQ/CNRS

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	363-384
Number of pages	22
Journal	Inverse Problems and Imaging
Volume	14
Issue number	2
DOIs	https://doi.org/10.3934/ipi.2020016
Publication status	Published - 1 Jan 2020

Keywords

Dirichlet-to-Neumann operator
Green function
Inverse scattering
Kirchhoff-Love plate
Linear Sampling Method

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10.3934/ipi.2020016

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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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KW - Green function

KW - Inverse scattering

KW - Kirchhoff-Love plate

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The linear sampling method for kirchhoff-love infinite plates

Abstract

Keywords

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