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The method of fundamental solutions for the inverse conductivity problem

dc.contributor.authorKarageorghis, Andreasen
dc.contributor.authorLesnic, D.en
dc.creatorKarageorghis, Andreasen
dc.creatorLesnic, D.en
dc.date.accessioned2019-12-02T10:36:04Z
dc.date.available2019-12-02T10:36:04Z
dc.date.issued2010
dc.identifier.issn1741-5977
dc.identifier.urihttp://gnosis.library.ucy.ac.cy/handle/7/57054
dc.description.abstractIn this article, we propose a simple method for detecting an inclusion Ω2 embedded in a host electrostatic medium Ω1 from a single Cauchy pair of voltage and current flux measurements on the exterior boundary of Ω1. A nonlinear constrained minimization regularized method of fundamental solutions is developed for the numerical solution of this inverse problem. The stability of the numerical scheme is investigated by inverting measurements contaminated by random noise. © 2010 Taylor & Francis.en
dc.sourceInverse Problems in Science and Engineeringen
dc.source.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-77952383779&doi=10.1080%2f17415971003675019&partnerID=40&md5=aa5f344a880e4d3dbac470cae311ba21
dc.subjectElectric impedanceen
dc.subjectConvergence of numerical methodsen
dc.subjectInverse problemsen
dc.subjectNumerical analysisen
dc.subjectNumerical solutionen
dc.subjectElectric impedance measurementen
dc.subjectInverse problemen
dc.subjectInverse conductivity problemen
dc.subjectMethod of fundamental solutionsen
dc.subjectRandom noiseen
dc.subjectRegularized methoden
dc.subjectConstrained minimizationen
dc.subjectNumerical schemeen
dc.subjectSIMPLE methoden
dc.subjectCurrent fluxen
dc.subjectDiagnostic radiographyen
dc.subjectElectric impedance tomographyen
dc.subjectElectrical impedance tomographyen
dc.subjectElectrical impedance tomography inverse problemsen
dc.titleThe method of fundamental solutions for the inverse conductivity problemen
dc.typeinfo:eu-repo/semantics/article
dc.identifier.doi10.1080/17415971003675019
dc.description.volume18
dc.description.issue4
dc.description.startingpage567
dc.description.endingpage583
dc.author.facultyΣχολή Θετικών και Εφαρμοσμένων Επιστημών / Faculty of Pure and Applied Sciences
dc.author.departmentΤμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics
dc.type.uhtypeArticleen
dc.description.notes<p>Cited By :20</p>en
dc.source.abbreviationInverse Probl.Sci.Eng.en
dc.contributor.orcidKarageorghis, Andreas [0000-0002-8399-6880]
dc.gnosis.orcid0000-0002-8399-6880


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