dc.contributor.author İdemen, Mehmet Mithat en_US dc.contributor.author Alkumru, Ali en_US dc.date.accessioned 2015-01-15T22:59:21Z dc.date.available 2015-01-15T22:59:21Z dc.date.issued 2001-05 dc.identifier.citation İdemen, 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)00070-7 en_US dc.identifier.issn 0020-7225 en_US dc.identifier.issn 1879-2197 en_US dc.identifier.uri https://hdl.handle.net/11729/98 dc.identifier.uri http://dx.doi.org/10.1016/S0020-7225(00)00070-7 dc.description This work was partially supported by the Turkish Academy of Sciences (TUBA). en_US dc.description.abstract A 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.sponsorship Türkiye Bilimler Akademisi en_US dc.language.iso en en_US dc.publisher Pergamon-Elsevier Science en_US dc.relation.ispartof International Journal of Engineering Science en_US dc.rights info:eu-repo/semantics/closedAccess en_US dc.subject Head en_US dc.subject Brain en_US dc.subject Model en_US dc.subject Algebra en_US dc.subject Boundary conditions en_US dc.subject Interfaces (materials) en_US dc.subject Iterative methods en_US dc.subject Method of moments en_US dc.subject Problem solving en_US dc.subject Arbitrary shapes en_US dc.subject Sectionally homogeneous bounded domains en_US dc.subject Computational geometry en_US dc.title A new method for the source localization in sectionally homogeneous bounded domains involving finitely many inner interfaces of arbitrary shapes en_US dc.type Article en_US dc.description.version Publisher's Version en_US dc.department Işık Üniversitesi, Mühendislik Fakültesi, Elektrik-Elektronik Mühendisliği Bölümü en_US dc.department Işık University, Faculty of Engineering, Department of Electrical-Electronics Engineering en_US dc.authorid 0000-0002-1225-7482 dc.authorid 0000-0002-1225-7482 en_US dc.identifier.volume 39 dc.identifier.issue 8 dc.identifier.startpage 851 dc.identifier.endpage 872 dc.peerreviewed Yes en_US dc.publicationstatus Published en_US dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US dc.institutionauthor İdemen, Mehmet Mithat en_US dc.indekslendigikaynak Web of Science en_US dc.indekslendigikaynak Scopus en_US dc.indekslendigikaynak Science Citation Index Expanded (SCI-EXPANDED) en_US dc.identifier.wosquality Q1 dc.identifier.wosquality Q1 en_US dc.identifier.wos WOS:000168101400001 dc.identifier.wos WOS:000168101400001 en_US dc.identifier.scopus 2-s2.0-0035341643 en_US dc.identifier.doi 10.1016/S0020-7225(00)00070-7 dc.identifier.scopusquality Q1 en_US
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