Please use this identifier to cite or link to this item:
http://doi.org/10.25358/openscience-312
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 |
ROR: | https://ror.org/023b0x485 |
DOI: | http://doi.org/10.25358/openscience-312 |
URN: | urn:nbn:de:hebis:77-17947 |
Version: | Published version |
Publication type: | Zeitschriftenaufsatz |
License: | In Copyright |
Information on rights of use: | https://rightsstatements.org/vocab/InC/1.0/ |
Journal: | Inverse problems and imaging 2 2 |
Pages or article number: | 251 269 |
Publisher: | AIMS |
Publisher place: | Springfield, Mo. |
Issue date: | 2008 |
ISSN: | 1930-8337 |
Appears in collections: | JGU-Publikationen |