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The factorization method for a conductive boundary condition

  • In this article, the inverse scattering problem for obstacles with conductive boundary conditions is considered. The problem at hand is solved with the Factorization Method; that is, the operator and its factorization is derived. To obtain generic far field data for several obstacles the boundary element method is employed to solve the integral equation numerically. The far field data are highly accurate due to superconvergence. Finally, we show that we are able to reconstruct several obstacles and thus confirm the validity of the new operator factorization.

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Metadaten
Author: Andreas Kleefeld, Andreas Kirsch
URL:http://projecteuclid.org/euclid.jiea/1362669522
DOI:https://doi.org/10.1216/JIE-2012-24-4-575
ISSN:0897-3962
Title of the source (English):Journal of Integral Equations and Applications
Document Type:Scientific journal article peer-reviewed
Language:English
Year of publication:2012
Volume/Year:24
Issue number:4
First Page:575
Last Page:601
Faculty/Chair:Fakultät 1 MINT - Mathematik, Informatik, Physik, Elektro- und Informationstechnik / FG Numerische Mathematik und Wissenschaftliches Rechnen
Institution name at the time of publication:Fakultät für Mathematik, Naturwissenschaften und Informatik (eBTU) / LS Mathematik, insbesondere Numerische Mathematik und Wissenschaftliches Rechnen
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