Numerical methods for multiscale elliptic problems
文献类型：期刊论文
| 作者 | Ming, PB ; Yue, XY
|
| 刊名 | JOURNAL OF COMPUTATIONAL PHYSICS
 |
| 出版日期 | 2006-05-01 |
| 卷号 | 214期号:1页码:421-445 |
| 关键词 | heterogeneous multiscale method multiscale finite element method scale separation |
| ISSN号 | 0021-9991 |
| DOI | 10.1016/j.jcp.2005.09.024 |
| 英文摘要 | We present an overview of the recent development on numerical methods for elliptic problems with multiscale coefficients. We carry out a thorough study of two representative techniques: the heterogeneous multiscale method (HMM) and the multiscale finite element method (MsFEM). For problems with scale separation (but without specific assumptions on the particular form of the coefficients), analytical and numerical results show that HMM gives comparable accuracy as MsFEM, with much less cost. For problems without scale separation, our numerical results suggest that HMM performs at least as well as MsFEM, in terms of accuracy and cost, even though in this case both methods may fail to converge. Since the cost of MsFEM is comparable to that of solving the full fine scale problem, one might expect that it does not need scale separation and still retains some accuracy. We show that this is not the case. Specifically, we give an example showing that if there exists an intermediate scale comparable to H, the size of the macroscale mesh, then MsFEM commits a finite error even with overlapping. (c) 2005 Elsevier Inc. All rights reserved. |
| WOS研究方向 | Computer Science ; Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000236417400021 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/3509]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Ming, PB |
| 作者单位 | 1.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, AMSS, Beijing 100080, Peoples R China 2.Suzhou Univ, Dept Math, Suzhou 215006, Peoples R China |
| 推荐引用方式 GB/T 7714 | Ming, PB,Yue, XY. Numerical methods for multiscale elliptic problems[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2006,214(1):421-445. |
| APA | Ming, PB,&Yue, XY.(2006).Numerical methods for multiscale elliptic problems.JOURNAL OF COMPUTATIONAL PHYSICS,214(1),421-445. |
| MLA | Ming, PB,et al."Numerical methods for multiscale elliptic problems".JOURNAL OF COMPUTATIONAL PHYSICS 214.1(2006):421-445. |
入库方式： OAI收割
来源：数学与系统科学研究院
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