A new approximate method for second order elliptic problems with rapidly oscillating coefficients based on the method of multiscale asymptotic expansions
文献类型：期刊论文
| 作者 | He, Wen-Ming; Cui, Jun-Zhi |
| 刊名 | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
 |
| 出版日期 | 2007-11-01 |
| 卷号 | 335期号:1页码:657-668 |
| 关键词 | the method of multiscale asymptotic expansions second order elliptic equations with rapidly oscillating coefficients error estimate |
| ISSN号 | 0022-247X |
| DOI | 10.1016/j.jmaa.2007.01.085 |
| 英文摘要 | In this paper, we consider second order elliptic problems with rapidly oscillating coefficients. On basis of [O.A. Oleinik, A.S. Shamaev, G.A. Yosifian, Mathematical Problems in Elasticity and Homogenization, North-Holland, Amsterdam, 1992; Wen-ming He, Jun-zhi Cui, A pointwise estimate on the 1-order approximation of G(x0)(epsilon), IMA J. Appl. Math. 70 (2005) 241-269] we propose a new approximate method to solve these problems. Of course, we present its error estimate. (c) 2007 Elsevier Inc. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000248445800046 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/4601]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | He, Wen-Ming |
| 作者单位 | 1.Wenzhou Univ, Dept Math, Wenzhou 325035, Zhejiang, Peoples R China 2.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | He, Wen-Ming,Cui, Jun-Zhi. A new approximate method for second order elliptic problems with rapidly oscillating coefficients based on the method of multiscale asymptotic expansions[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2007,335(1):657-668. |
| APA | He, Wen-Ming,&Cui, Jun-Zhi.(2007).A new approximate method for second order elliptic problems with rapidly oscillating coefficients based on the method of multiscale asymptotic expansions.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,335(1),657-668. |
| MLA | He, Wen-Ming,et al."A new approximate method for second order elliptic problems with rapidly oscillating coefficients based on the method of multiscale asymptotic expansions".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 335.1(2007):657-668. |
入库方式： OAI收割
来源：数学与系统科学研究院
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