Superconvergence error analysis of discontinuous Galerkin method with interior penalties for 2D elliptic convection - diffusion - reaction problems

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dc.authorid0000-0001-8628-5497
dc.authorid0000-0001-7527-1989
dc.contributor.authorSingh, Gautam
dc.contributor.authorNatesan, Srinivasan
dc.contributor.authorSendur, Ali
dc.date.accessioned2026-01-24T12:31:25Z
dc.date.available2026-01-24T12:31:25Z
dc.date.issued2023
dc.departmentAlanya Alaaddin Keykubat Üniversitesi
dc.description.abstractThis article focuses on constructing and analyzing a non-symmetric interior penalty Galerkin method (NIPG) on Shishkin mesh for solving singularly perturbed 2D elliptic boundary-value problems (BVPs). We use piecewise Lagrange interpolation at Gaussian points to improve the order of convergence of the interpolation error. We then study the superconvergence properties of the NIPG method and prove O(N-1 ln N)(k+1) order of convergence in the discrete energy-norm. Various numerical experiments are provided to validate the theoretical results.
dc.identifier.doi10.1080/00207160.2023.2166347
dc.identifier.endpage967
dc.identifier.issn0020-7160
dc.identifier.issn1029-0265
dc.identifier.issue5
dc.identifier.scopus2-s2.0-85147018387
dc.identifier.scopusqualityQ2
dc.identifier.startpage948
dc.identifier.urihttps://doi.org/10.1080/00207160.2023.2166347
dc.identifier.urihttps://hdl.handle.net/20.500.12868/5848
dc.identifier.volume100
dc.identifier.wosWOS:000918132900001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherTaylor & Francis Ltd
dc.relation.ispartofInternational Journal of Computer Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20260121
dc.subjectSingularly perturbed 2D elliptic BVPs
dc.subjectconvection-diffusion problem
dc.subjectShishkin mesh
dc.subjectdiscontinuous Galerkin method with interior penalty
dc.subjectsuperconvergence
dc.titleSuperconvergence error analysis of discontinuous Galerkin method with interior penalties for 2D elliptic convection - diffusion - reaction problems
dc.typeArticle

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