Please use this identifier to cite or link to this item: http://doi.org/10.25358/openscience-312
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dc.contributor.authorGebauer, Bastian-
dc.date.accessioned2008-11-19T15:28:08Z-
dc.date.available2008-11-19T16:28:08Z-
dc.date.issued2008-
dc.identifier.urihttps://openscience.ub.uni-mainz.de/handle/20.500.12030/314-
dc.description.abstractIn 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.en_GB
dc.language.isoeng-
dc.rightsInCopyrightde_DE
dc.rights.urihttps://rightsstatements.org/vocab/InC/1.0/-
dc.subject.ddc510 Mathematikde_DE
dc.subject.ddc510 Mathematicsen_GB
dc.titleLocalized potentials in electrical impedance tomographyen_GB
dc.typeZeitschriftenaufsatzde_DE
dc.identifier.urnurn:nbn:de:hebis:77-17947-
dc.identifier.doihttp://doi.org/10.25358/openscience-312-
jgu.type.dinitypearticle-
jgu.type.versionPublished versionen_GB
jgu.type.resourceText-
jgu.organisation.departmentFB 08 Physik, Mathematik u. Informatik-
jgu.organisation.number7940-
jgu.organisation.nameJohannes Gutenberg-Universität Mainz-
jgu.rights.accessrightsopenAccess-
jgu.journal.titleInverse problems and imaging-
jgu.journal.volume2-
jgu.journal.issue2-
jgu.pages.start251-
jgu.pages.end269-
jgu.publisher.year2008-
jgu.publisher.nameAIMS-
jgu.publisher.placeSpringfield, Mo.-
jgu.publisher.issn1930-8337-
jgu.organisation.placeMainz-
jgu.subject.ddccode510-
opus.date.accessioned2008-11-19T15:28:08Z-
opus.date.modified2008-11-25T08:45:34Z-
opus.date.available2008-11-19T16:28:08-
opus.subject.dfgcode00-000-
opus.subject.otherElectrical impedance tomography, Calderon problem, factorization methoden_GB
opus.organisation.stringFB 08: Physik, Mathematik und Informatik: Institut für Mathematikde_DE
opus.identifier.opusid1794-
opus.institute.number0804-
opus.metadataonlyfalse-
opus.type.contenttypeKeinede_DE
opus.type.contenttypeNoneen_GB
opus.affiliatedGebauer, Bastian-
jgu.organisation.rorhttps://ror.org/023b0x485
Appears in collections:JGU-Publikationen

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