Please use this identifier to cite or link to this item:
https://open.uns.ac.rs/handle/123456789/16726
DC Field | Value | Language |
---|---|---|
dc.contributor.advisor | Zarin Helena | - |
dc.contributor.advisor | Teofanov Ljiljana | - |
dc.contributor.author | Brdar Mirjana | - |
dc.contributor.other | Herceg Dragoslav | - |
dc.contributor.other | Zarin Helena | - |
dc.contributor.other | Teofanov Ljiljana | - |
dc.contributor.other | Uzelac Zorica | - |
dc.date.accessioned | 2020-12-13T10:59:43Z | - |
dc.date.available | 2020-12-13T10:59:43Z | - |
dc.date.issued | 2016-05-27 | - |
dc.identifier.uri | https://open.uns.ac.rs/handle/123456789/16726 | - |
dc.description.abstract | <p>U tezi se istražuje uniformna konvergencija Galerkinovog postupka konačnih elemenata na mrežama različitog tipa za dvoparametarske singularno perturbovane probleme.</p><p>Uvedene su slojno-adaptivne mreže za probleme konvekcije-reakcije-difuzije: Bahvalovljeva, Duran-Šiškinova i Duranova za jednodimenzionalni i Duran-Šiškinova i Duranova mreža za dvodimenzionalni problem. Za pomenute probleme na svim ovim mrežama analizirane su greške interpolacije, diskretizacije i greška u energetskoj normi i dokazana je uniformna konvergencija Galerkinovog postupka konačnih elemenata. Sva teorijska tvrđenja su potvrđena numeričkim eksperimentima.<br /> </p> | sr |
dc.description.abstract | <p>The thesis explores the uniform convergence for Galerkin nite element<br />method on various meshes for two parameter singularly perturbed problems.<br />Layer-adapted meshes are introduced for convection-reaction-diusion<br />problems: Bakhvalov, Duran-Shishkin and Duran meshes for a one dimensional<br />and Duran-Shishkin and Duran meshes for a two dimensional problem.<br />We analyze the errors of interpolation, discretization and error in the energy<br />norm and prove the parameter uniform convergence for Galerkin nite element<br />method on mentioned meshes. Numerical experiments support theoretical<br />ndings.<br /> </p> | en |
dc.language.iso | sr (latin script) | - |
dc.publisher | Univerzitet u Novom Sadu, Prirodno-matematički fakultet u Novom Sadu | sr |
dc.publisher | University of Novi Sad, Faculty of Sciences at Novi Sad | en |
dc.source | CRIS UNS | - |
dc.source.uri | http://cris.uns.ac.rs | - |
dc.subject | Singularly perturbed problems, two small parameters, Bakhvalov, Duran and Duran-Shishkin meshes, finite element method,uniform convergence. | en |
dc.subject | Singularno perturbovani problemi, dva mala parametra, Bahvalovljeva,Duranova i Duran-Šiškinova mreža, postupak konačnih elemenata,uniformna konvergencija. | sr |
dc.title | Singularly perturbed boundary value problems with two parameters on various meshes | en |
dc.title | Dvoparametarski singularno perturbovani konturni problemi na mrežama različitog tipa | sr |
dc.type | Thesis | en |
dc.identifier.url | https://www.cris.uns.ac.rs/DownloadFileServlet/Disertacija145820865154725.pdf?controlNumber=(BISIS)100302&fileName=145820865154725.pdf&id=5100&source=BEOPEN&language=en | en |
dc.identifier.url | https://www.cris.uns.ac.rs/record.jsf?recordId=100302&source=BEOPEN&language=en | en |
dc.identifier.externalcrisreference | (BISIS)100302 | - |
dc.source.institution | Prirodno-matematički fakultet u Novom Sadu | sr |
item.grantfulltext | none | - |
item.fulltext | No Fulltext | - |
crisitem.author.dept | Tehnološki fakultet, Katedra za opšte inženjerske discipline | - |
crisitem.author.orcid | 0000-0002-6466-9219 | - |
crisitem.author.parentorg | Tehnološki fakultet | - |
Appears in Collections: | PMF Teze/Theses |
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