Basit öğe kaydını göster

dc.contributor.authorToprakseven, Şuayip
dc.contributor.authorZhu, Peng
dc.date.accessioned2021-12-02T15:35:17Z
dc.date.available2021-12-02T15:35:17Z
dc.date.issued2021en_US
dc.identifier.citationToprakseven, S. Zhu, P. (2021).Uniform convergent modified weak Galerkin method for convection-dominated two-point boundary value problems. Turkish Journal of Mathematics.en_US
dc.identifier.uri1300-0098 / 1303-6149
dc.identifier.urihttps://hdl.handle.net/11494/3579
dc.description.abstractWe propose and analyze a modified weak Galerkin finite element method (MWG-FEM) for solving singularly perturbed problems of convection-dominated type. The proposed method is constructed over piecewise polynomials of degree k >= 1 on interior of each element and piecewise constant on the boundary of each element. The present method is parameter-free and has less degrees of freedom compared to the classical weak Galerkin finite element method. The method is shown uniformly convergent for small perturbation parameters. An uniform convergence rate of O((N(-1)ln N)(k)) in the energy-like norm is established on the piecewise uniform Shishkin mesh, where N is the number of elements. Various numerical examples are presented to confirm the theoretical results. Moreover, we numerically confirm that the proposed method has the optimal order error estimates of O(N-(k+1)) in a discrete L-2-norm and converges at superconvergence order of O((N(-1)ln N)(2k)) in the discrete L-infinity-norm.en_US
dc.language.isoengen_US
dc.publisherScientific Technical Research Council Turkey-Tubitaken_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectSingularly perturbed problemen_US
dc.subjectModified weak Galerkin methoden_US
dc.subjectShishkin meshen_US
dc.subjectUniformly convergenceen_US
dc.titleUniform convergent modified weak Galerkin method for convection-dominated two-point boundary value problemsen_US
dc.typearticleen_US
dc.relation.journalTurkish Journal of Mathematicsen_US
dc.departmentAÇÜ, Mühendislik Fakültesi, Bilgisayar Mühendisliği Bölümüen_US
dc.authorid0000-0003-3901-9641en_US
dc.identifier.volumeArticle in pressen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.identifier.doi10.3906/mat-2106-102en_US
dc.contributor.institutionauthorToprakseven, Şuayip


Bu öğenin dosyaları:

Thumbnail

Bu öğe aşağıdaki koleksiyon(lar)da görünmektedir.

Basit öğe kaydını göster