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Discontinuous Galerkin time stepping with local projection stabilization for transient convection-diffusion-reaction problems
Ahmed, N.1; Matthies, G.2; Tobiska, L.1; Xie, H.3
2011
Source PublicationCOMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
ISSN0045-7825
Volume200Issue:21-22Pages:1747-1756
AbstractA time-dependent convection-diffusion-reaction problem is discretized in space by a continuous finite element method with local projection stabilization and in time by a discontinuous Galerkin method. We present error estimates for the semidiscrete problem after discretizing in space only and for the fully discrete problem. Numerical tests confirm the theoretical results. (C) 2011 Elsevier B.V. All rights reserved.
KeywordDiscontinuous Galerkin Stabilized finite elements Convection-diffusion-reaction equation
DOI10.1016/j.cma.2011.02.003
Language英语
Funding ProjectFederal Ministry of Education and Research (BMBF), Germany[03TOPAA1] ; Kohat University of Science and Technology (KUST-HEC), Pakistan
WOS Research AreaEngineering ; Mathematics ; Mechanics
WOS SubjectEngineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications ; Mechanics
WOS IDWOS:000290842600001
PublisherELSEVIER SCIENCE SA
Citation statistics
Cited Times:20[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/13031
Collection计算数学与科学工程计算研究所
Affiliation1.Otto VonGuericke Univ Magdegurg, Inst Anal & Numer, D-39016 Magdeburg, Germany
2.Univ Kassel, Inst Math, Fachbereich Math & Naturwissensch 10, D-34132 Kassel, Germany
3.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, ICMSEC, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Ahmed, N.,Matthies, G.,Tobiska, L.,et al. Discontinuous Galerkin time stepping with local projection stabilization for transient convection-diffusion-reaction problems[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING,2011,200(21-22):1747-1756.
APA Ahmed, N.,Matthies, G.,Tobiska, L.,&Xie, H..(2011).Discontinuous Galerkin time stepping with local projection stabilization for transient convection-diffusion-reaction problems.COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING,200(21-22),1747-1756.
MLA Ahmed, N.,et al."Discontinuous Galerkin time stepping with local projection stabilization for transient convection-diffusion-reaction problems".COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING 200.21-22(2011):1747-1756.
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