A numerical method for singularly perturbed convection–diffusion–reaction equations on polygonal meshes

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dc.contributor.authorKumar, Naresh
dc.contributor.authorToprakseven, Şuayip
dc.contributor.authorJiwari, Ram
dc.date.accessioned2024-11-25T12:28:01Z
dc.date.available2024-11-25T12:28:01Z
dc.date.issued2024
dc.departmentAÇÜ, Artvin Meslek Yüksekokulu, Muhasebe ve Vergi Uygulamaları Bölümüen_US
dc.description.abstractIn this paper, we design and develop a weak Galerkin finite-element numerical method for solving singularly perturbed convection–diffusion–reaction equations with a non-conservation convection term. Many advantages of the proposed method include support for the higher order of convergence and general polygonal meshes. The convergence study for the weak Galerkin algorithm is performed in both the triple-bar norm and the L² norm. We achieve an optimal order of convergence of O(hk) in the triple-bar norm and O(hk+¹) in the L² norm. Several numerical experiments in a two-dimensional setting are carried out to demonstrate the convergence of our theories.
dc.identifier.doi10.1007/s40314-023-02553-x
dc.identifier.issn2238-3603
dc.identifier.issue1en_US
dc.identifier.scopusqualityQ1
dc.identifier.urihttp://dx.doi.org/10.1007/s40314-023-02553-x
dc.identifier.urihttps://hdl.handle.net/11494/5011
dc.identifier.volume43en_US
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoenen_US
dc.publisherSpringer Natureen_US
dc.relation.ispartofComputational and Applied Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/embargoedAccessen_US
dc.subjectConvection–Diffusion–Reaction Equationen_US
dc.subjectOptimal Orderen_US
dc.subjectPolygonal Meshesen_US
dc.subjectSingular Perturbationen_US
dc.subjectWeak Galerkin Methoden_US
dc.titleA numerical method for singularly perturbed convection–diffusion–reaction equations on polygonal meshesen_US
dc.typeArticle

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