Error analysis of an extended discontinuous galerkin method for highly-oscillatory problems

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dc.authorid0000-0003-3901-9641en_US
dc.contributor.authorFrench, Donald
dc.contributor.authorVaughan, Benjamin
dc.contributor.authorToprakseven, Şuayip
dc.date.accessioned2022-03-07T10:47:48Z
dc.date.available2022-03-07T10:47:48Z
dc.date.issued2021
dc.departmentAÇÜ, Artvin Meslek Yüksekokulu, Muhasebe ve Vergi Uygulamaları Bölümüen_US
dc.description.abstractIn this report we introduce an extended discontinuous Galerkin (XDG) method. Our XDG scheme is based on the Babuska-Zlamal approach and we apply it to a class of prototype elliptic boundary value problems that have solutions consisting of smooth functions perturbed by a set of high frequency modes which occupy a narrow band. The XDG scheme we study is enriched by trigonometric functions that cover the range of these perturbations. A theoretical error analysis is provided that shows the method converges and gives specifics on its accuracy. Computations with the XDG scheme further demonstrate the efficacy of this approach.
dc.identifier.citationFrench D., Vaughan, B., & Toprakseven, Ş. (2021). Error analysis of an extended discontinuous galerkin method for highly-oscillatory problems, Yıldız Teknik Üniversitesi, 39 (5), 64-73.en_US
dc.identifier.doi10.14744/sigma.2021.00043
dc.identifier.endpage73en_US
dc.identifier.issue5en_US
dc.identifier.startpage64en_US
dc.identifier.urihttps://hdl.handle.net/11494/3738
dc.identifier.volume39en_US
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.institutionauthorToprakseven, Şuayip
dc.language.isoenen_US
dc.publisherYıldız Teknik Üniversitesien_US
dc.relation.ispartofSigma Journal of Engineering and Natural Sciences-Sigma Mühendislik ve Fen Bilimleri Dergisi
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectDiscontinuous Galerkinen_US
dc.subjectExtended discontinuous Galerkinen_US
dc.subjectHigh frequenciesen_US
dc.subjectElliptic boundary value problemen_US
dc.titleError analysis of an extended discontinuous galerkin method for highly-oscillatory problemsen_US
dc.typeArticle

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