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https://hdl.handle.net/20.500.11851/7812
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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Aksoylu, Burak | - |
dc.contributor.author | Parks, Michael L. | - |
dc.date.accessioned | 2021-09-11T16:09:55Z | - |
dc.date.available | 2021-09-11T16:09:55Z | - |
dc.date.issued | 2011 | en_US |
dc.identifier.issn | 0096-3003 | - |
dc.identifier.issn | 1873-5649 | - |
dc.identifier.uri | https://doi.org/10.1016/j.amc.2011.01.027 | - |
dc.identifier.uri | https://hdl.handle.net/20.500.11851/7812 | - |
dc.description.abstract | In this article we present the first results on domain decomposition methods for nonlocal operators. We present a nonlocal variational formulation for these operators and establish the well-posedness of associated boundary value problems, proving a nonlocal Poincare inequality. To determine the conditioning of the discretized operator, we prove a spectral equivalence which leads to a mesh size independent upper bound for the condition number of the stiffness matrix. We then introduce a nonlocal two-domain variational formulation utilizing nonlocal transmission conditions, and prove equivalence with the single-domain formulation. A nonlocal Schur complement is introduced. We establish condition number bounds for the nonlocal stiffness and Schur complement matrices. Supporting numerical experiments demonstrating the conditioning of the nonlocal one- and two-domain problems are presented. (C) 2011 Elsevier Inc. All rights reserved. | en_US |
dc.description.sponsorship | NSFNational Science Foundation (NSF) [DMS-1016190]; NSF LA EPSCoR; Louisiana Board of Regents; US Department of Energy's National Nuclear Security AdministrationNational Nuclear Security Administration [DE-AC04-94AL85000] | en_US |
dc.description.sponsorship | Supported in part by NSF DMS-1016190 and his visits to Sandia National Laboratories were partially supported by NSF LA EPSCoR and Louisiana Board of Regents LINK program.; Sandia National Laboratories is a multi-program laboratory operated by Sandia Corporation, a wholly owned subsidiary of Lockheed Martin company, for the US Department of Energy's National Nuclear Security Administration under contract DE-AC04-94AL85000. | en_US |
dc.language.iso | en | en_US |
dc.publisher | Elsevier Science Inc | en_US |
dc.relation.ispartof | Applied Mathematics And Computation | en_US |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.subject | Domain decomposition | en_US |
dc.subject | Nonlocal substructuring | en_US |
dc.subject | Nonlocal operators | en_US |
dc.subject | Nonlocal Poincare inequality | en_US |
dc.subject | p-Laplacian | en_US |
dc.subject | Peridynamics | en_US |
dc.subject | Nonlocal Schur complement | en_US |
dc.subject | Condition number | en_US |
dc.title | Variational Theory and Domain Decomposition for Nonlocal Problems | en_US |
dc.type | Article | en_US |
dc.department | Faculties, Faculty of Science and Literature, Department of Mathematics | en_US |
dc.department | Fakülteler, Fen Edebiyat Fakültesi, Matematik Bölümü | tr_TR |
dc.identifier.volume | 217 | en_US |
dc.identifier.issue | 14 | en_US |
dc.identifier.startpage | 6498 | en_US |
dc.identifier.endpage | 6515 | en_US |
dc.authorid | 0000-0002-7244-3340 | - |
dc.identifier.wos | WOS:000287691300006 | en_US |
dc.identifier.scopus | 2-s2.0-79952007924 | en_US |
dc.institutionauthor | Aksoylu, Burak | - |
dc.identifier.doi | 10.1016/j.amc.2011.01.027 | - |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.identifier.scopusquality | Q1 | - |
item.openairetype | Article | - |
item.languageiso639-1 | en | - |
item.grantfulltext | open | - |
item.fulltext | With Fulltext | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.cerifentitytype | Publications | - |
Appears in Collections: | Matematik Bölümü / Department of Mathematics Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection |
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