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Authors: Gebauer, Bastian
Title: Localized potentials in electrical impedance tomography
Online publication date: 19-Nov-2008
Year of first publication: 2008
Language: english
Abstract: In this work we study localized electric potentials that have an arbitrarily high energy on some given subset of a domain and low energy on another. We show that such potentials exist for general L-infinity-conductivities (with positive infima) in almost arbitrarily shaped subregions of a domain, as long as these regions are connected to the boundary and a unique continuation principle is satisfied. From this we deduce a simple, but new, theoretical identifiability result for the famous Calderon problem with partial data. We also show how to construct such potentials numerically and use a connection with the factorization method to derive a new non-iterative algorithm for the detection of inclusions in electrical impedance tomography.
DDC: 510 Mathematik
510 Mathematics
Institution: Johannes Gutenberg-Universität Mainz
Department: FB 08 Physik, Mathematik u. Informatik
Place: Mainz
URN: urn:nbn:de:hebis:77-17947
Version: Published version
Publication type: Zeitschriftenaufsatz
License: In Copyright
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Journal: Inverse problems and imaging
Pages or article number: 251
Publisher: AIMS
Publisher place: Springfield, Mo.
Issue date: 2008
ISSN: 1930-8337
Appears in collections:JGU-Publikationen

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