dc.contributor.author | Čiegis, Raimondas | |
dc.contributor.author | Jankevičiūtė, Gerda | |
dc.contributor.author | Suboč, Olga | |
dc.date.accessioned | 2023-09-18T17:43:38Z | |
dc.date.available | 2023-09-18T17:43:38Z | |
dc.date.issued | 2010 | |
dc.identifier.issn | 1392-6292 | |
dc.identifier.other | (BIS)VGT02-000020768 | |
dc.identifier.uri | https://etalpykla.vilniustech.lt/handle/123456789/125598 | |
dc.description.abstract | In this paper we develop and validate mathematical models and numerical algorithms for the heat transfer simulation in composite materials. The main features of the problem deal with the dependence of the heat source on the solution, discontinuous diffusion coefficients and nonlinear convection and radiation boundary conditions. The differential problem is approximated by the finite volume discrete scheme. It is proved that for a sufficiently small parameter, which defines the dependence of the source term on the solution, the discrete problem has a unique solution which converges to the solution of the differential problem. Linearization of the nonlinear problem is done by using the Picard method and the convergence of the iterations is proved. Results of numerical experiments are presented. | eng |
dc.format | PDF | |
dc.format.extent | p. 9-22 | |
dc.format.medium | tekstas / txt | |
dc.language.iso | eng | |
dc.relation.isreferencedby | Conference Proceedings Citation Index - Science (Web of Science) | |
dc.relation.isreferencedby | Academic Search Complete | |
dc.relation.isreferencedby | Science Citation Index Expanded (Web of Science) | |
dc.relation.isreferencedby | INSPEC | |
dc.relation.isreferencedby | Zentralblatt MATH (zbMATH) | |
dc.relation.isreferencedby | VINITI | |
dc.title | Numerical simulation of the heat conduction in composite materials | |
dc.type | Straipsnis Web of Science DB / Article in Web of Science DB | |
dcterms.references | 18 | |
dc.type.pubtype | S1 - Straipsnis Web of Science DB / Web of Science DB article | |
dc.contributor.institution | Vilniaus Gedimino technikos universitetas | |
dc.contributor.faculty | Fundamentinių mokslų fakultetas / Faculty of Fundamental Sciences | |
dc.subject.researchfield | N 001 - Matematika / Mathematics | |
dc.subject.en | Heat conduction | |
dc.subject.en | Nonlinear boundary conditions | |
dc.subject.en | Finite volume method | |
dc.subject.en | Convergence analysis | |
dcterms.sourcetitle | Mathematical modelling and analysis: the Baltic journal on mathematical applications, numerical analysis and differential equations | |
dc.description.issue | no. 1 | |
dc.description.volume | Vol. 15 | |
dc.publisher.name | Technika | |
dc.publisher.city | Vilnius | |
dc.identifier.doi | 000274831500003 | |
dc.identifier.doi | 10.3846/1392-6292.2010.15.9-22 | |
dc.identifier.elaba | 3901134 | |