Numerical simulation for convection-diffusion problem with periodic micro-structure

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	Numerical simulation for convection-diffusion problem with periodic micro-structure
	Wu Zhihua; Yan Ningning
	2008-04-01
发表期刊	ACTA MATHEMATICA SCIENTIA
ISSN	0252-9602
卷号	28 期号:2 页码:236-252
摘要	In this article, the convection dominated convection-diffusion problems with the periodic micro-structure are discussed. A two-scale finite element scheme based on the homogenization technique for this kind of problems is provided. The error estimates between the exact solution and the approximation solution of the homogenized equation or the two-scale finite element scheme are analyzed. It is shown that the scheme provided in this article is convergent for any fixed diffusion coefficient delta, and it may be convergent independent of delta under some conditions. The numerical results demonstrating the theoretical results are presented in this article.
关键词	convection-diffusion problem homogenization micro-structure asymptotic expansion
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000255879500002
出版者	ELSEVIER SCIENCE INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/6228
专题	中国科学院数学与系统科学研究院
通讯作者	Wu Zhihua
作者单位	Chinese Acad Sci, Inst Syst Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Wu Zhihua,Yan Ningning. Numerical simulation for convection-diffusion problem with periodic micro-structure[J]. ACTA MATHEMATICA SCIENTIA,2008,28(2):236-252.
APA	Wu Zhihua,&Yan Ningning.(2008).Numerical simulation for convection-diffusion problem with periodic micro-structure.ACTA MATHEMATICA SCIENTIA,28(2),236-252.
MLA	Wu Zhihua,et al."Numerical simulation for convection-diffusion problem with periodic micro-structure".ACTA MATHEMATICA SCIENTIA 28.2(2008):236-252.