A new method for the source localization in sectionally homogeneous bounded domains involving finitely many inner interfaces of arbitrary shapes

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dc.authorid0000-0002-1225-7482
dc.authorid0000-0001-5290-849X
dc.contributor.authorİdemen, Mehmet Mithaten_US
dc.contributor.authorAlkumru, Alien_US
dc.date.accessioned2015-01-15T22:59:21Z
dc.date.available2015-01-15T22:59:21Z
dc.date.issued2001-05
dc.departmentIşık Üniversitesi, Mühendislik Fakültesi, Elektrik-Elektronik Mühendisliği Bölümüen_US
dc.departmentIşık University, Faculty of Engineering, Department of Electrical-Electronics Engineeringen_US
dc.descriptionThis work was partially supported by the Turkish Academy of Sciences (TUBA).en_US
dc.description.abstractA new method to localize a static point source buried in a nonhomogeneous bounded domain composed of finitely many homogeneous parts separated by interfaces of arbitrary shapes was established. The source can be a simple point charge or current or a dipole of them. The method requires only the knowledge of the potential function Phi (x, y, z) at five or six points on the outermost interface depending on whether the source is simple or dipole. The new and basic feature of the method consists of determining the potential function Phi (0)(x, y, z) which would be observed if the whole space was filled with a homogeneous material. Then, in the case of a simple source, the position P-0 as well as the strengths can be determined, in general, by solving a system of three linear algebraic equations. When the source consists of a dipole, its position P-0 and moment (p) over right arrow can be found by solving a system of six nonlinear algebraic equations. The determination of Phi (0) P-0 and s (or (p) over right arrow) is achieved iteratively by solving the above-mentioned algebraic equations along with a singular integral equation satisfied by Phi (0) Some illustrative examples show the applicability and accuracy of the method. The method can have effective applications in heat conduction, matter diffusion, electrostatics, steady-state current flow, electroencephalography, electrocardiography, etc.en_US
dc.description.sponsorshipTürkiye Bilimler Akademisien_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationİdemen, M. M. & Alkumru, A. (2001). A new method for the source localization in sectionally homogeneous bounded domains involving finitely many inner interfaces of arbitrary shapes. International Journal of Engineering Science, 39(8), 851-872. doi:10.1016/S0020-7225(00)00070-7en_US
dc.identifier.doi10.1016/S0020-7225(00)00070-7
dc.identifier.endpage872
dc.identifier.issn0020-7225
dc.identifier.issn1879-2197
dc.identifier.issue8
dc.identifier.scopus2-s2.0-0035341643
dc.identifier.scopusqualityQ1
dc.identifier.startpage851
dc.identifier.urihttps://hdl.handle.net/11729/98
dc.identifier.urihttp://dx.doi.org/10.1016/S0020-7225(00)00070-7
dc.identifier.volume39
dc.identifier.wosWOS:000168101400001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakScience Citation Index Expanded (SCI-EXPANDED)en_US
dc.institutionauthorİdemen, Mehmet Mithaten_US
dc.institutionauthorid0000-0002-1225-7482
dc.language.isoenen_US
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.publisherPergamon-Elsevier Scienceen_US
dc.relation.ispartofInternational Journal of Engineering Scienceen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectHeaden_US
dc.subjectBrainen_US
dc.subjectModelen_US
dc.subjectAlgebraen_US
dc.subjectBoundary conditionsen_US
dc.subjectInterfaces (materials)en_US
dc.subjectIterative methodsen_US
dc.subjectMethod of momentsen_US
dc.subjectProblem solvingen_US
dc.subjectArbitrary shapesen_US
dc.subjectSectionally homogeneous bounded domainsen_US
dc.subjectComputational geometryen_US
dc.titleA new method for the source localization in sectionally homogeneous bounded domains involving finitely many inner interfaces of arbitrary shapesen_US
dc.typeArticleen_US

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