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A STABILIZED DISCONTINUOUS GALERKIN METHOD FOR THE NONLINEAR ADVECTION-DIFFUSION PROCESSES

dc.contributor.authorTunc, Huseyin
dc.contributor.authorSari, Murat
dc.date.accessioned2026-06-27T14:30:59Z
dc.date.issued2021
dc.description.abstractThis 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.sponsorshipDepartment of TUBITAK (BIDEB)
dc.identifier.eissn2409-4994
dc.identifier.endpage45
dc.identifier.issn2409-4986
dc.identifier.issue1
dc.identifier.startpage24
dc.identifier.urihttps://hdl.handle.net/20.500.14981/61523
dc.identifier.volume47
dc.identifier.wos000637815800003
dc.language.isoeng
dc.publisherINST MATHEMATICS & MECHANICS, NATL ACAD SCIENCES AZERBAIJAN
dc.relation.ispartofPROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS
dc.subjectAdvection-diffusion processes
dc.subjectLocal discontinuous Galerkin method
dc.subjectBurgers equation
dc.subjecttheta-method
dc.subjectHopf-Cole transformation
dc.subjectMathematics
dc.titleA STABILIZED DISCONTINUOUS GALERKIN METHOD FOR THE NONLINEAR ADVECTION-DIFFUSION PROCESSES
dc.typeArticle
dspace.entity.typePublication
local.import.sourceWOS

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