Existence and uniqueness in anisotropic conductivity reconstruction with Faraday's law

Handle URI:
http://hdl.handle.net/10754/583011
Title:
Existence and uniqueness in anisotropic conductivity reconstruction with Faraday's law
Authors:
Lee, Min-Gi; Kim, Yong-Jung
Abstract:
We show that three sets of internal current densities are the right amount of data that give the existence and the uniqueness at the same time in reconstructing an anisotropic conductivity in two space dimensions. The curl free equation of Faraday’s law is taken instead of the usual divergence free equation of the electrical impedance to- mography. Boundary conditions related to given current densities are introduced which complete a well determined problem for conductivity reconstruction together with Fara- day’s law.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Issue Date:
18-Mar-2015
Type:
Article
Additional Links:
http://amath.kaist.ac.kr/papers/Kim/39.pdf
Appears in Collections:
Articles; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorLee, Min-Gien
dc.contributor.authorKim, Yong-Jungen
dc.date.accessioned2015-12-01T07:45:44Zen
dc.date.available2015-12-01T07:45:44Zen
dc.date.issued2015-03-18en
dc.identifier.urihttp://hdl.handle.net/10754/583011en
dc.description.abstractWe show that three sets of internal current densities are the right amount of data that give the existence and the uniqueness at the same time in reconstructing an anisotropic conductivity in two space dimensions. The curl free equation of Faraday’s law is taken instead of the usual divergence free equation of the electrical impedance to- mography. Boundary conditions related to given current densities are introduced which complete a well determined problem for conductivity reconstruction together with Fara- day’s law.en
dc.language.isoenen
dc.relation.urlhttp://amath.kaist.ac.kr/papers/Kim/39.pdfen
dc.titleExistence and uniqueness in anisotropic conductivity reconstruction with Faraday's lawen
dc.typeArticleen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.eprint.versionPre-printen
dc.contributor.institutionDepartment of Mathematical Sciences, KAIST, Daejeon 305-701, Republicen
dc.contributor.institutionNational Institute of Mathematical Sciences, Daejeon 305-811, Republic ofen
dc.contributor.affiliationKing Abdullah University of Science and Technology (KAUST)en
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