Rodyti trumpą aprašą

dc.contributor.authorSuboč, Olga
dc.contributor.authorČiegis, Raimondas
dc.contributor.authorČiegis, Remigijus
dc.date.accessioned2023-09-18T16:19:20Z
dc.date.available2023-09-18T16:19:20Z
dc.date.issued2022
dc.identifier.urihttps://etalpykla.vilniustech.lt/handle/123456789/113172
dc.description.abstractThe model describes the heat equation in 3D domains, and this problem is reduced to a hybrid dimension problem, keeping the initial dimension only in some parts and reducing it to one-dimensional equation within the domains in some distance from the bases regions. Such mathematical models are typical in industrial installations such as pipelines. Our aim is to add two additional improvements into this methodology. First, the economical ADI type finite volume scheme is constructed to solve the non-classical heat conduction problem. Special interface conditions are defined between 3D and 1D parts. It is proved that the ADI scheme is unconditionally stable. Second, the parallel factorization algorithm is proposed to solve the obtained systems of discrete equations. Due to both modifications the run-time of computations is reduced essentially. Results of computational experiments confirm the theoretical error analysis and scalability estimates of the parallel algorithm.eng
dc.format.extentp. 24
dc.format.mediumtekstas / txt
dc.language.isoeng
dc.source.urihttp://inga.vgtu.lt/~art/konf/2020/abstr/MMA_2022_abstracts.pdf
dc.titleParallel 3D ADI scheme for hybrid dimension model of heat conduction problem
dc.typeKonferencijos pranešimo santrauka / Conference presentation abstract
dcterms.references5
dc.type.pubtypeT2 - Konferencijos pranešimo tezės / Conference presentation abstract
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.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
dcterms.sourcetitleMathematical Modelling and Analysis [MMA2022] : 25th international conference, May 30 - June 2, 2022, Druskininkai, Lithuania : abstracts
dc.publisher.nameVilnius Gediminas Technical University
dc.publisher.cityVilnius
dc.identifier.elaba132289267


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Rodyti trumpą aprašą