A two-level additive Schwarz method for the Morley nonconforming element approximation of a nonlinear biharmonic equation
文献类型：期刊论文
| 作者 | Xu, XJ; Lui, SH; Rahman, T |
| 刊名 | IMA JOURNAL OF NUMERICAL ANALYSIS
 |
| 出版日期 | 2004 |
| 卷号 | 24期号:1页码:97-122 |
| 关键词 | the Morley element nonlinear biharmonic equation additive Schwarz method |
| ISSN号 | 0272-4979 |
| 英文摘要 | In this paper, we consider the well known Morley nonconforming element approximation of a nonlinear biharmonic equation which is related to the well-known two-dimensional Navier-Stokes equations. Firstly, optimal energy and H-1-norm estimates are obtained. Secondly, 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. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000187224800005 |
| 出版者 | OXFORD UNIV PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/731]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Xu, XJ |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Inst Computat Math, Beijing 100080, Peoples R China 2.Univ Manitoba, Dept Math, Winnipeg, MB R3T 2N2, Canada 3.Univ Augsburg, Inst Math, D-86159 Augsburg, Germany |
| 推荐引用方式 GB/T 7714 | Xu, XJ,Lui, SH,Rahman, T. A two-level additive Schwarz method for the Morley nonconforming element approximation of a nonlinear biharmonic equation[J]. IMA JOURNAL OF NUMERICAL ANALYSIS,2004,24(1):97-122. |
| APA | Xu, XJ,Lui, SH,&Rahman, T.(2004).A two-level additive Schwarz method for the Morley nonconforming element approximation of a nonlinear biharmonic equation.IMA JOURNAL OF NUMERICAL ANALYSIS,24(1),97-122. |
| MLA | Xu, XJ,et al."A two-level additive Schwarz method for the Morley nonconforming element approximation of a nonlinear biharmonic equation".IMA JOURNAL OF NUMERICAL ANALYSIS 24.1(2004):97-122. |
入库方式： OAI收割
来源：数学与系统科学研究院
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