Journal Article

FZJ-2023-05021

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Direct sampling method via Landweber iteration for an absorbing scatterer with a conductive boundary

Ayala, R. C. ; Harris, I. (Corresponding author) ; Kleefeld, A.FZJ*

2024
AIMS Springfield, Mo.

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Please use a persistent id in citations: doi:10.3934/ipi.2023051  doi:10.34734/FZJ-2023-05021

Abstract: In this paper, we consider the inverse shape problem of recovering isotropic scatterers with a conductive boundary condition. Here, we assume that the measured far-field data is known at a fixed wave number. Motivated by recent work, we study a new direct sampling indicator based on the Landweber iteration and the factorization method. Therefore, we prove the connection between these reconstruction methods. The method studied here falls under the category of qualitative reconstruction methods where an imaging function is used to recover the absorbing scatterer. We prove stability of our new imaging function as well as derive a discrepancy principle for recovering the regularization parameter. The theoretical results are verified with numerical examples to show how the reconstruction performs by the new Landweber direct sampling method.

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Contributing Institute(s):

1. Jülich Supercomputing Center (JSC)

Research Program(s):

1. 5112 - Cross-Domain Algorithms, Tools, Methods Labs (ATMLs) and Research Groups (POF4-511) (POF4-511)

Appears in the scientific report 2024

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Database coverage:
; ; Clarivate Analytics Master Journal List ; Current Contents - Physical, Chemical and Earth Sciences ; Essential Science Indicators ; IF < 5 ; JCR ; SCOPUS ; Science Citation Index Expanded ; Web of Science Core Collection

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