Error estimate of the homogenization solution for elliptic problems with small periodic coefficients on L-infinity(Omega)
文献类型：期刊论文
| 作者 | He WenMing1,2; Cui JunZhi3
|
| 刊名 | SCIENCE CHINA-MATHEMATICS
 |
| 出版日期 | 2010-05-01 |
| 卷号 | 53期号:5页码:1231-1252 |
| 关键词 | multi-scale homogenization theory homogenization solution second order elliptic equations with small periodic coefficients |
| ISSN号 | 1674-7283 |
| DOI | 10.1007/s11425-010-0078-7 |
| 英文摘要 | 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). |
| 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 |
| 语种 | 英语 |
| WOS记录号 | WOS:000277957700007 |
| 出版者 | SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/11107]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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