On the inverse point-source problem of the poisson equation

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dc.authorid0000-0003-1940-1456
dc.contributor.authorYılmaz, Meleken_US
dc.contributor.authorŞengül, Metinen_US
dc.contributor.authorGeçkinli, Melihen_US
dc.date.accessioned2019-08-31T12:10:23Z
dc.date.accessioned2019-08-05T16:05:05Z
dc.date.available2019-08-31T12:10:23Z
dc.date.available2019-08-05T16:05:05Z
dc.date.issued2005
dc.departmentIşık Üniversitesi, Mühendislik Fakültesi, Elektrik-Elektronik Mühendisliği Bölümüen_US
dc.departmentIşık University, Faculty of Engineering, Department of Electrical-Electronics Engineeringen_US
dc.description.abstractIn this work, a basic inverse heat conduction problem of a simple 2-D model with steady state heat source is taken into view. The physical problem is for a square region with uniform thermophysical properties and a point heat source of unit magnitude. To obtain boundary data, temperature probes are placed at the midpoints of the sides of the square domain. The objective of the inverse problem is to estimate the coordinates of the point source with the least amount of data. Initially, the inverse problem is analyzed to determine the main causes that render the problem ill conditioned. As for the solution, among the methods that has been tried so far, the best results are obtained from a backpropagating ANN with four-probe data. When white Gaussian noise is added to the measurements, no catastrophic failure has been observed.en_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationYılmaz, M., Şengül, M. & Geçkinli, M. (2005). On the inverse point-source problem of the poisson equation. Istanbul University - Journal of Electrical and Electronics Engineering, 5(2), 1395-1401.en_US
dc.identifier.endpage1401
dc.identifier.issn1303-0914
dc.identifier.issue2
dc.identifier.scopus2-s2.0-27844537815
dc.identifier.scopusqualityN/A
dc.identifier.startpage1395
dc.identifier.urihttps://hdl.handle.net/11729/2037
dc.identifier.volume5
dc.indekslendigikaynakScopusen_US
dc.institutionauthorŞengül, Metinen_US
dc.institutionauthorid0000-0003-1940-1456
dc.language.isoenen_US
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.publisherIstanbul Universityen_US
dc.relation.ispartofIstanbul University - Journal of Electrical and Electronics Engineeringen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectArtificial neural networksen_US
dc.subjectBackpropagationen_US
dc.subjectGaussian noise (electronic)en_US
dc.subjectHeat conductionen_US
dc.subjectHeat conduction problemen_US
dc.subjectHeat sourcesen_US
dc.subjectInverse heaten_US
dc.subjectInverse problemsen_US
dc.subjectInverse heat conduction problemen_US
dc.subjectNeural networksen_US
dc.subjectPoisson equationen_US
dc.subjectSelf organizing mapsen_US
dc.subjectThermodynamic propertiesen_US
dc.titleOn the inverse point-source problem of the poisson equationen_US
dc.typeArticleen_US
dspace.entity.typePublication

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