A hybrid nonoverlapping domain decomposition scheme for advection dominated advection-diffusion problems

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	A hybrid nonoverlapping domain decomposition scheme for advection dominated advection-diffusion problems
	Espedal, MS ; Tai, XC ; Yan, NN
	1998
发表期刊	NUMERICAL ALGORITHMS
ISSN	1017-1398
卷号	18 期号:3-4 页码:321-336
摘要	Two nonoverlapping domain decomposition algorithms are proposed for convection dominated convection-diffusion problems. In each subdomain, artificial boundary conditions are used on the inflow and outflow boundaries. If the flow is simple, each subdomain problem only needs to be solved once. If there are closed streamlines, an iterative algorithm is needed and the convergence is proved. Analysis and numerical tests reveal that the methods are advantageous when the diffusion parameter epsilon is small. In such cases, the error introduced by the domain decomposition methods is negligible in comparison with the error in the singular layers, and it allows easy and efficient grid refinement in the singular layers.
关键词	advection dominated problem domain decomposition
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000078398800006
出版者	BALTZER SCI PUBL BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/14028
专题	中国科学院数学与系统科学研究院
作者单位	1.Univ Bergen, Dept Math, N-5007 Bergen, Norway 2.Acad Sinica, Inst Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Espedal, MS,Tai, XC,Yan, NN. A hybrid nonoverlapping domain decomposition scheme for advection dominated advection-diffusion problems[J]. NUMERICAL ALGORITHMS,1998,18(3-4):321-336.
APA	Espedal, MS,Tai, XC,&Yan, NN.(1998).A hybrid nonoverlapping domain decomposition scheme for advection dominated advection-diffusion problems.NUMERICAL ALGORITHMS,18(3-4),321-336.
MLA	Espedal, MS,et al."A hybrid nonoverlapping domain decomposition scheme for advection dominated advection-diffusion problems".NUMERICAL ALGORITHMS 18.3-4(1998):321-336.