Discontinuous Galerkin time stepping with local projection stabilization for transient convection-diffusion-reaction problems

doi:10.1016/j.cma.2011.02.003

	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.