KMS Of Academy of mathematics and systems sciences, CAS
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 | |
发表期刊 | COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING |
ISSN | 0045-7825 |
卷号 | 200期号:21-22页码:1747-1756 |
摘要 | A 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. |
关键词 | Discontinuous Galerkin Stabilized finite elements Convection-diffusion-reaction equation |
DOI | 10.1016/j.cma.2011.02.003 |
语种 | 英语 |
资助项目 | Federal Ministry of Education and Research (BMBF), Germany[03TOPAA1] ; Kohat University of Science and Technology (KUST-HEC), Pakistan |
WOS研究方向 | Engineering ; Mathematics ; Mechanics |
WOS类目 | Engineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications ; Mechanics |
WOS记录号 | WOS:000290842600001 |
出版者 | ELSEVIER SCIENCE SA |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/13031 |
专题 | 计算数学与科学工程计算研究所 |
通讯作者 | Ahmed, N. |
作者单位 | 1.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 |
推荐引用方式 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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