Mathematical basis of the linear sampling method for partially coated obstacles

DOI10.1016/j.na.2011.05.033zbMath1228.35275OpenAlexW2082396412MaRDI QIDQ642546

Guozheng Yan, Mao Yao

Publication date: 27 October 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.05.033

zbMATH Keywords

boundary integral equationlinear sampling methodinverse scattering problem

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Cites Work

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• A simple method using Morozov's discrepancy principle for solving inverse scattering problems
• The linear sampling method for cracks
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• Generalized dual space indicator method for underwater imaging
• Numerical validation of the linear sampling method

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