A two-level Schwarz method for a finite element approximation of a nonlinear biharmonic equation
文献类型：期刊论文
| 作者 | Xu, XJ; Lui, SH |
| 刊名 | APPLIED MATHEMATICS AND COMPUTATION
 |
| 出版日期 | 2003-12-25 |
| 卷号 | 145期号:2-3页码:683-700 |
| ISSN号 | 0096-3003 |
| DOI | 10.1016/S0096-3003(03)00201-7 |
| 英文摘要 | In this paper, we consider a finite element approximation of a nonlinear biharmonic equation which is related to the well-known two-dimensional Navier-Stokes equations. First, optimal energy and H-1-norm estimates are obtained. Second, a two-level additive Schwarz method is presented for the discrete nonlinear algebraic system. It is shown that if the Reynolds number is sufficiently small, the two-level Schwarz method is optimal, i.e., the convergence rate of the Schwarz method is independent of the mesh size and the number of subdomains. (C) 2003 Elsevier Inc. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000185580000042 |
| 出版者 | ELSEVIER SCIENCE INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/19076]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Lui, SH |
| 作者单位 | 1.Univ Manitoba, Dept Math, Winnipeg, MB R3T 2N2, Canada 2.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Inst Computat Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Xu, XJ,Lui, SH. A two-level Schwarz method for a finite element approximation of a nonlinear biharmonic equation[J]. APPLIED MATHEMATICS AND COMPUTATION,2003,145(2-3):683-700. |
| APA | Xu, XJ,&Lui, SH.(2003).A two-level Schwarz method for a finite element approximation of a nonlinear biharmonic equation.APPLIED MATHEMATICS AND COMPUTATION,145(2-3),683-700. |
| MLA | Xu, XJ,et al."A two-level Schwarz method for a finite element approximation of a nonlinear biharmonic equation".APPLIED MATHEMATICS AND COMPUTATION 145.2-3(2003):683-700. |
入库方式： OAI收割
来源：数学与系统科学研究院
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