A finite element method for elliptic problems with rapidly oscillating coefficients
文献类型：期刊论文
| 作者 | He, Wen-Ming; Cui, Jun-Zhi
|
| 刊名 | BIT NUMERICAL MATHEMATICS
 |
| 出版日期 | 2007-03-01 |
| 卷号 | 47期号:1页码:77-102 |
| 关键词 | second-order elliptic equations with rapidly oscillating coefficients homogenization theory finite element method |
| ISSN号 | 0006-3835 |
| DOI | 10.1007/s10543-007-0117-0 |
| 英文摘要 | In this paper, we consider solving second-order elliptic problems with rapidly oscillating coefficients. Under the assumption that the oscillating coefficients are periodic, on the basis of classical homogenization theory, we present a finite element method whose key is to combine a numerical approximation of the 1-order approximate solution of those equations and a numerical approximation of the classical boundary corrector of those equations from different meshes exploiting the need for different levels of resolution. Numerical experiments are included to illustrate the competitive behavior of the proposed finite element method. |
| WOS研究方向 | Computer Science ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000244887900005 |
| 出版者 | SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/4811]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 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 finite element method for elliptic problems with rapidly oscillating coefficients[J]. BIT NUMERICAL MATHEMATICS,2007,47(1):77-102. |
| APA | He, Wen-Ming,&Cui, Jun-Zhi.(2007).A finite element method for elliptic problems with rapidly oscillating coefficients.BIT NUMERICAL MATHEMATICS,47(1),77-102. |
| MLA | He, Wen-Ming,et al."A finite element method for elliptic problems with rapidly oscillating coefficients".BIT NUMERICAL MATHEMATICS 47.1(2007):77-102. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。