Error analysis of a weak Galerkin finite element method for two-parameter singularly perturbed differential equations in the energy and balanced norms

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dc.authoridŞuayip Toprakseven / 0000-0003-3901-9641en_US
dc.contributor.authorToprakseven, Şuayip
dc.contributor.authorZhu, Peng
dc.date.accessioned2022-12-26T08:22:04Z
dc.date.available2022-12-26T08:22:04Z
dc.date.issued2023
dc.departmentAÇÜ,Mühendislik Fakültesi, Bilgisayar Mühendisliği Bölümüen_US
dc.description.abstractA weak Galerkin finite element method is proposed for solving singularly perturbed problems with two parameters. A robust uniform optimal convergence has been proved in the corresponding energy and a stronger balanced norms using piecewise higher order discontinuous polynomials on a piecewise uniform Shishkin mesh. Finally, we give some numerical experiments to support theoretical results.
dc.identifier.citationToprakseven, Ş., & Zhu, P. (2023). Error analysis of a weak Galerkin finite element method for two-parameter singularly perturbed differential equations in the energy and balanced norms. Applied Mathematics and Computation, 441, 127683.en_US
dc.identifier.doi10.1016/j.amc.2022.127683
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1016/j.amc.2022.127683
dc.identifier.urihttps://hdl.handle.net/11494/4322
dc.identifier.volume441en_US
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorToprakseven, Şuayip
dc.language.isoenen_US
dc.publisherElsevieren_US
dc.relation.ispartofApplied Mathematics and Computation
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectBalanced normen_US
dc.subjectShishkin meshen_US
dc.subjectSingularly perturbed boundary value problemsen_US
dc.subjectTwo-parameter differential equationsen_US
dc.subjectUniform convergenceen_US
dc.subjectWeak galerkin finite element methoden_US
dc.titleError analysis of a weak Galerkin finite element method for two-parameter singularly perturbed differential equations in the energy and balanced normsen_US
dc.typeArticle

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