Superconvergence of a modified weak Galerkin method for singularly perturbed two-point elliptic boundary-value problems

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dc.authorid0000-0003-3901-9641en_US
dc.contributor.authorToprakseven, Şuayip
dc.date.accessioned2021-12-23T07:04:08Z
dc.date.available2021-12-23T07:04:08Z
dc.date.issued2022
dc.departmentAÇÜ, Mühendislik Fakültesi, Bilgisayar Mühendisliği Bölümüen_US
dc.description.abstractIn this paper, superconvergence approximations of the modified weak Galerkin finite element method for the singularly perturbed two-point elliptic boundary-value problem have been studied. On the piecewise uniform Shishkin mesh, we have established the superconvergence error bounds of O(N-1 ln N)(k+1) in the discrete energy norm, where k is the degree of polynomials used in the finite element space and N is the number of elements. Stability analyses have been carried out for both singularly perturbed reaction-diffusion and convection-dominated problems. Some numerical examples are presented to support the theoretical findings. Moreover, the numerical experiments show that the proposed method has the superconvergence error bounds of O(N-1 ln N)(2k) in the discrete L-infinity-norm.
dc.identifier.citationToprakseven, S. (2022). Superconvergence of a modified weak Galerkin method for singularly perturbed two-point elliptic boundary-value problems. Calcolo, 59(1), 1-35.en_US
dc.identifier.doi10.1007/s10092-021-00449-y
dc.identifier.issue1en_US
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://hdl.handle.net/11494/3617
dc.identifier.volume59en_US
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorToprakseven, Şuayip
dc.language.isoenen_US
dc.publisherSpringer Verlag Italia Srlen_US
dc.relation.ispartofCalcolo
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.titleSuperconvergence of a modified weak Galerkin method for singularly perturbed two-point elliptic boundary-value problemsen_US
dc.typeArticle

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