Error estimate of the homogenization solution for elliptic problems with small periodic coefficients on L-infinity(Omega)

doi:10.1007/s11425-010-0078-7

	Error estimate of the homogenization solution for elliptic problems with small periodic coefficients on L-infinity(Omega)
	He WenMing 1,2; Cui JunZhi3
	2010-05-01
发表期刊	SCIENCE CHINA-MATHEMATICS
ISSN	1674-7283
卷号	53 期号:5 页码:1231-1252
摘要	In this paper, we discuss the multi-scale homogenization theory for the second order elliptic problems with small periodic coefficients of the form partial derivative/chi (a(ij)(x/epsilon)partial derivative u(epsilon)(x)/partial derivative(xj)) = f(x). Assuming n = 2 and u(0) is an element of W-1,W-infinity(Omega), we present an error estimate between the homogenization solution u(0)(x) and the exact solution u(epsilon)(x) on the Sobolev space L-infinity(Omega).
关键词	multi-scale homogenization theory homogenization solution second order elliptic equations with small periodic coefficients
DOI	10.1007/s11425-010-0078-7
语种	英语
资助项目	National Natural Science Foundation of China[60971121] ; National Natural Science Foundation of China[10590353] ; National Natural Science Foundation of China[90916027] ; National Natural Science Foundation of China[10725210] ; Major State Basic Research Development Program of China[2010CB832702] ; State Key Laboratory of Science and Engineering Computing, Natural Science Foundation of Zhejiang Province, China[Y6090108] ; Postdoctoral Science Foundation of China[20090451454]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000277957700007
出版者	SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/11108
专题	计算数学与科学工程计算研究所
通讯作者	He WenMing
作者单位	1.Wenzhou Univ, Dept Math, Wenzhou 325035, Peoples R China 2.Zhejiang Univ, Sch Aeronaut & Astronaut, Hangzhou 310027, Zhejiang, Peoples R China 3.Chinese Acad Sci, LSEC, ICMSEC, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	He WenMing,Cui JunZhi. Error estimate of the homogenization solution for elliptic problems with small periodic coefficients on L-infinity(Omega)[J]. SCIENCE CHINA-MATHEMATICS,2010,53(5):1231-1252.
APA	He WenMing,&Cui JunZhi.(2010).Error estimate of the homogenization solution for elliptic problems with small periodic coefficients on L-infinity(Omega).SCIENCE CHINA-MATHEMATICS,53(5),1231-1252.
MLA	He WenMing,et al."Error estimate of the homogenization solution for elliptic problems with small periodic coefficients on L-infinity(Omega)".SCIENCE CHINA-MATHEMATICS 53.5(2010):1231-1252.