Yayın: A STABILIZED DISCONTINUOUS GALERKIN METHOD FOR THE NONLINEAR ADVECTION-DIFFUSION PROCESSES
| dc.contributor.author | Tunc, Huseyin | |
| dc.contributor.author | Sari, Murat | |
| dc.date.accessioned | 2026-06-27T14:30:59Z | |
| dc.date.issued | 2021 | |
| dc.description.abstract | This article presents a hybridization of a local discontinuous Galerkin method (LDG) with the theta-method to capture nonlinear behavior of the advection-diffusion processes. The predetermined fixed flux selection is extended to the generalized problem-dependent flux selection in the LDG algorithm. The derived technique has been shown to be unconditionally stable through the L-2 stability analysis. Two illustrative test problems are considered to demonstrate the efficiency of the currently produced technique for both advection and diffusion dominated processes. | en |
| dc.description.sponsorship | Department of TUBITAK (BIDEB) | |
| dc.identifier.eissn | 2409-4994 | |
| dc.identifier.endpage | 45 | |
| dc.identifier.issn | 2409-4986 | |
| dc.identifier.issue | 1 | |
| dc.identifier.startpage | 24 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14981/61523 | |
| dc.identifier.volume | 47 | |
| dc.identifier.wos | 000637815800003 | |
| dc.language.iso | eng | |
| dc.publisher | INST MATHEMATICS & MECHANICS, NATL ACAD SCIENCES AZERBAIJAN | |
| dc.relation.ispartof | PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS | |
| dc.subject | Advection-diffusion processes | |
| dc.subject | Local discontinuous Galerkin method | |
| dc.subject | Burgers equation | |
| dc.subject | theta-method | |
| dc.subject | Hopf-Cole transformation | |
| dc.subject | Mathematics | |
| dc.title | A STABILIZED DISCONTINUOUS GALERKIN METHOD FOR THE NONLINEAR ADVECTION-DIFFUSION PROCESSES | |
| dc.type | Article | |
| dspace.entity.type | Publication | |
| local.import.source | WOS |