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

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dc.contributor.authorToprakseven, Şuayip
dc.contributor.departmentOthertr_TR
dc.contributor.facultyOthertr_TR
dc.date.accessioned2021-11-11T07:06:37Z
dc.date.available2021-11-11T07:06:37Z
dc.date.issued2020-06-30
dc.description.abstractThe main purpose of this paper is to describe a space-time discontinuous Galerin (DG) method based on an extended space-time approximation space for the linear first order hyperbolic equation that contains a high frequency component. We extend the space-time DG spaces of tensor-product 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 finite element method. The basic principle of the method is integrating the features of the partial differential equation with the standard space-time spaces in the approximation. We present error analysis of the space-time DG method for the linear first 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 findings and demonstrate the effects of the proposed method.tr_TR
dc.description.indexTrdizintr_TR
dc.identifier.endpage231tr_TR
dc.identifier.issn/e-issn2618-6470
dc.identifier.issue1tr_TR
dc.identifier.startpage213tr_TR
dc.identifier.urihttps://doi.org/10.31801/cfsuasmas.544522tr_TR
dc.identifier.urihttp://hdl.handle.net/20.500.12575/75982
dc.identifier.volume69tr_TR
dc.language.isoentr_TR
dc.publisherAnkara Üniversitesi Fen Fakültesitr_TR
dc.relation.isversionof10.31801/cfsuasmas.544522tr_TR
dc.relation.journalCommunications Faculty of Sciences University of Ankara Series A1 Mathematics and Statisticstr_TR
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıtr_TR
dc.subjectDiscontinuous Galerkin finite element methodstr_TR
dc.subjectSpace-time discontinuous Galerkin methodstr_TR
dc.subjectHyperbolic problemstr_TR
dc.titleA space-time discontinuous Galerkin method for linear hyperbolic PDE's with high frequenciestr_TR
dc.typeArticletr_TR

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