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dc.contributor.authorČiegis, Raimondas
dc.contributor.authorStarikovičius, Vadimas
dc.contributor.authorSuboč, Olga
dc.contributor.authorČiegis, Remigijus
dc.date.accessioned2023-09-18T16:39:39Z
dc.date.available2023-09-18T16:39:39Z
dc.date.issued2023
dc.identifier.urihttps://etalpykla.vilniustech.lt/handle/123456789/115587
dc.description.abstractThe main aim of this article is to propose an adaptive method to solve multidimensional parabolic problems with fractional power elliptic operators. The adaptivity technique is based on a very efficient method when the multidimensional problem is approximated by a partially dimension-reduced mathematical model. Then in the greater part of the domain, only one-dimensional problems are solved. For the first time such a technique is applied for problems with nonlocal diffusion operators. It is well known that, even for classical local diffusion operators, the averaged flux conjugation conditions become nonlocal. Efficient finite volume type discrete schemes are constructed and analysed. The stability and accuracy of obtained local discrete schemes is investigated. The results of computational experiments are presented and compared with theoretical results.eng
dc.formatPDF
dc.format.extentp. 1-18
dc.format.mediumtekstas / txt
dc.language.isoeng
dc.relation.isreferencedbyScience Citation Index Expanded (Web of Science)
dc.relation.isreferencedbyScopus
dc.relation.isreferencedbyDOAJ
dc.relation.isreferencedbyRePec
dc.source.urihttps://www.mdpi.com/2227-7390/11/9/1984
dc.titleOn construction of partially dimension-reduced approximations for nonstationary nonlocal problems of a parabolic type
dc.typeStraipsnis Web of Science DB / Article in Web of Science DB
dcterms.accessRightsThis article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/)
dcterms.licenseCreative Commons – Attribution – 4.0 International
dcterms.references23
dc.type.pubtypeS1 - Straipsnis Web of Science DB / Web of Science DB article
dc.contributor.institutionVilniaus Gedimino technikos universitetas
dc.contributor.institutionVilniaus universitetas
dc.contributor.facultyFundamentinių mokslų fakultetas / Faculty of Fundamental Sciences
dc.subject.researchfieldN 001 - Matematika / Mathematics
dc.subject.studydirectionA01 - Matematika / Mathematics
dc.subject.studydirectionA02 - Taikomoji matematika / Applied mathematics
dc.subject.vgtuprioritizedfieldsFM0101 - Fizinių, technologinių ir ekonominių procesų matematiniai modeliai / Mathematical models of physical, technological and economic processes
dc.subject.ltspecializationsL106 - Transportas, logistika ir informacinės ir ryšių technologijos (IRT) / Transport, logistic and information and communication technologies
dc.subject.enfractional power elliptic operators
dc.subject.enpartially dimension-reduced models
dc.subject.enparabolic problems
dc.subject.enstability
dc.subject.enconvergence analysis
dcterms.sourcetitleMathematics: Special issue: "Nonlinear partial differential equations: exact solutions, symmetries, methods, and applications II"
dc.description.issueiss. 9
dc.description.volumevol. 11
dc.publisher.nameMDPI
dc.publisher.cityBasel
dc.identifier.doi000987762900001
dc.identifier.doi10.3390/math11091984
dc.identifier.elaba164161563


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