HETEROGENEOUS MULTISCALE FINITE ELEMENT METHOD WITH NOVEL NUMERICAL INTEGRATION SCHEMES
文献类型：期刊论文
| 作者 | Du, Rui; Ming, Pingbing
|
| 刊名 | COMMUNICATIONS IN MATHEMATICAL SCIENCES
 |
| 出版日期 | 2010-12-01 |
| 卷号 | 8期号:4页码:863-885 |
| 关键词 | Heterogeneous multiscale method finite element method numerical integration schemes elliptic homogenization problems |
| ISSN号 | 1539-6746 |
| 英文摘要 | In this paper we introduce two novel numerical integration schemes within the framework of the heterogeneous multiscale method (HMM), when the finite element method is used as the macroscopic solver, to resolve the elliptic problem with a multiscale coefficient. For non-self-adjoint elliptic problems, optimal convergence rate is proved for the proposed methods, which naturally yields a new strategy for refining the macro-micro meshes and a criterion for determining the size of the microcell. Numerical results following this strategy show that the new methods significantly reduce the computational cost without loss of accuracy. |
| 资助项目 | National Natural Science Foundation of China[10871197] ; National Natural Science Foundation of China[10932011] ; National Basic Research Program[2005CB321704] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000283985000004 |
| 出版者 | INT PRESS BOSTON, INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/10520]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Du, Rui |
| 作者单位 | Chinese Acad Sci, AMSS, Inst Computat Math & Sci Engn Comp, LSEC, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Du, Rui,Ming, Pingbing. HETEROGENEOUS MULTISCALE FINITE ELEMENT METHOD WITH NOVEL NUMERICAL INTEGRATION SCHEMES[J]. COMMUNICATIONS IN MATHEMATICAL SCIENCES,2010,8(4):863-885. |
| APA | Du, Rui,&Ming, Pingbing.(2010).HETEROGENEOUS MULTISCALE FINITE ELEMENT METHOD WITH NOVEL NUMERICAL INTEGRATION SCHEMES.COMMUNICATIONS IN MATHEMATICAL SCIENCES,8(4),863-885. |
| MLA | Du, Rui,et al."HETEROGENEOUS MULTISCALE FINITE ELEMENT METHOD WITH NOVEL NUMERICAL INTEGRATION SCHEMES".COMMUNICATIONS IN MATHEMATICAL SCIENCES 8.4(2010):863-885. |
入库方式： OAI收割
来源：数学与系统科学研究院
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