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.
Author: | Andreas Kleefeld, Andreas Kirsch |
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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 |