Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/9118
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dc.contributor.authorChapko, R. S.-
dc.contributor.authorYaman, Olha Ivanyshyn-
dc.contributor.authorVavrychuk, V. G.-
dc.date.accessioned2020-07-25T22:03:48Z-
dc.date.available2020-07-25T22:03:48Z-
dc.date.issued2019-
dc.identifier.issn0868-6912-
dc.identifier.urihttps://hdl.handle.net/11147/9118-
dc.descriptionVavrychuk, Vasyl/0000-0002-8314-6931en_US
dc.descriptionWOS: 000471789500002en_US
dc.description.abstractWe apply the non-linear integral equation approach based on elastic potentials for determining the shape of a bounded object in the elastostatic two-dimensional domain from given Cauchy data on its boundary. The iterative algorithm is developed for the numerical solution of obtained integral equations. We find the Frechet derivative for the corresponding operator and show unique solviability of the linearized system. Full discretization of the system is realized by a trigonometric quadrature method. Due to the inherited ill-possedness in the system of linear equations we apply the Tikhonov regularization. The numerical results show that the proposed method gives a good accuracy of reconstructions with an economical computational cost.en_US
dc.language.isoenen_US
dc.publisherIvan Franko National University of Lviv,en_US
dc.relation.ispartofJournal of Numerical and Applied Mathematicsen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectDouble connected elastostatic domainen_US
dc.subjectboundary reconstructionen_US
dc.subjectelastic potentialsen_US
dc.subjectboundary integral equationsen_US
dc.subjecttrigonometric quadrature methoden_US
dc.subjectNewton methoden_US
dc.subjectTikhonov regularizationen_US
dc.titleOn the non-linear integral equation method for the reconstruction of an inclusion in the elastic bodyen_US
dc.typeArticleen_US
dc.institutionauthorYaman, Olha Ivanyshyn-
dc.departmentİzmir Institute of Technology. Mathematicsen_US
dc.identifier.volume1en_US
dc.identifier.issue130en_US
dc.identifier.startpage7en_US
dc.identifier.endpage17en_US
dc.identifier.wosWOS:000471789500002en_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
item.languageiso639-1en-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.grantfulltextnone-
item.cerifentitytypePublications-
item.fulltextNo Fulltext-
item.openairetypeArticle-
crisitem.author.dept04.02. Department of Mathematics-
Appears in Collections:Mathematics / Matematik
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection
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