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dc.contributor.authorŞendur, Ali
dc.contributor.authorNatesan, Srinivasan
dc.contributor.authorSingh, Gautam
dc.date.accessioned2023-06-15T14:16:51Z
dc.date.available2023-06-15T14:16:51Z
dc.date.issued2021en_US
dc.identifier.urihttps://search.trdizin.gov.tr/tr/yayin/detay/495059/error-estimates-for-a-fully-discrete-dollarvarepsilon-dollaruniform-finite-element-methodon-quasi-uniform-meshes
dc.identifier.urihttps://hdl.handle.net/20.500.12868/2251
dc.description.abstractIn this article, we analyze a fully discrete varepsilon−uniformly convergent finite element method for singularly perturbed convection-diffusion-reaction boundary-value problems, on piecewise-uniform meshes. Here, we choose L−splines as basis functions.We will concentrate on the convergence analysis of thefinite element methodwhich employ the discreteL−spline basis functions instead of their continuous counterparts.The L−splines are approximated on the piecewise-uniform Shishkin mesh inside each element. These approximations are used as basis functions in the frame of Galerkin FEM on a coarse piecewise-uniform meshto discretize the domain. Further, we determinethe amount of error introduced by the discrete L−spline basis functions in the overall numerical method, and explore the possibility of recovering the order of convergence that are consistent with the classical order of convergence for the numerical methods usingthe exact L−splines.en_US
dc.language.isoengen_US
dc.relation.isversionof10.15672/hujms.691017en_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectPiecewise-Uniform Shishkin Meshen_US
dc.subjectBoundary Layersen_US
dc.subjectUniform Convergenceen_US
dc.subjectSingularly Perturbed Convection-Diffusion-Reaction Boundary-Value Problemen_US
dc.subjectFinite Element Methoden_US
dc.titleError estimates for a fully discrete varepsilon−uniform finite element methodon quasi uniform meshesen_US
dc.typearticleen_US
dc.contributor.departmentALKÜ, Fakülteler, Eğitim Fakültesi, Matematik ve Fen Bilimleri Eğitimi Bölümüen_US
dc.identifier.volume50en_US
dc.identifier.issue5en_US
dc.identifier.startpage1306en_US
dc.identifier.endpage1324en_US
dc.relation.journalHacettepe Journal of Matehematics and Statisticsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US


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