A space-time discontinuous galerkin method for linear hyperbolic PDE's with high frequencies

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dc.authorid0000-0003-3901-9641en_US
dc.contributor.authorToprakseven, Şuayip
dc.date.accessioned2020-06-26T06:29:29Z
dc.date.available2020-06-26T06:29:29Z
dc.date.issued2020
dc.departmentAÇÜ, Mühendislik Fakültesien_US
dc.description.abstractThe main purpose of this paper is to describe a space-time discontinuous Galerkin (DG) method based on an extended space-time approximation space for the linear Örst order hyperbolic equation that contains a high frequency component. We extend the space-time DG spaces of tensorproduct of polynomials by adding trigonometric functions in space and time that capture the oscillatory behavior of the solution. We construct the method by combining the basic framework of the space-time DG method with the extended Önite element method. The basic principle of the method is integrating the features of the partial di§erential equation with the standard space-time spaces in the approximation. We present error analysis of the proposed spacetime DG method for the linear Örst order hyperbolic problems. We show that the new space-time DG approximation has an improvement in the convergence compared to the space-time DG schemes with tensor-product polynomials. Numerical examples verify the theoretical Öndings and demonstrate the e§ects of the proposed method.
dc.identifier.citationToprakseven, Ş. (2020). AA space-time discontinuous galerkin method for linear hyperbolic PDE's with high frequencies. Communications Series A1 Mathematics & Statistics, 69(1), 213-231.doi:10.31801/cfsuasmas.544522.en_US
dc.identifier.doi10.31801/cfsuasmas.544522
dc.identifier.endpage231en_US
dc.identifier.issue1en_US
dc.identifier.startpage213en_US
dc.identifier.urihttps://hdl.handle.net/11494/2123
dc.identifier.volume69en_US
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.institutionauthorToprakseven, Şuayip
dc.language.isoenen_US
dc.publisherAnkara Üniversitesien_US
dc.relation.ispartofCommunications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rightsAttribution 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/us/*
dc.subjectDiscontinuous Galerkin Önite element methodsen_US
dc.subjectSpace-time discontinuous Galerkin methodsen_US
dc.subjectHyperbolic problemsen_US
dc.subjectHigh frequency solutionsen_US
dc.titleA space-time discontinuous galerkin method for linear hyperbolic PDE's with high frequenciesen_US
dc.typeArticle

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