A multigrid method or the mortar-type Morley element approximation of a plate bending problem
文献类型：期刊论文
| 作者 | Xu, XJ; Li, LK; Chen, WB |
| 刊名 | SIAM JOURNAL ON NUMERICAL ANALYSIS
 |
| 出版日期 | 2002-01-14 |
| 卷号 | 39期号:5页码:1712-1731 |
| 关键词 | multigrid mortar element methods the Morley element plate problem |
| ISSN号 | 0036-1429 |
| 英文摘要 | In this paper, a multigrid algorithm is presented for the mortar element method for the Morley nonconforming plate element. Based on the multigrid theory developed by Bramble, Pasciak, and Xu in [ Math. Comp., 56 (1991), pp. 1-34], we prove that the W-cycle multigrid method is optimal, i.e., the convergence rate is independent of the mesh size and mesh level. Moreover, a variable V-cycle multigrid preconditioner is constructed, which results in a preconditioned system with a uniformly bounded condition number. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000173578200011 |
| 出版者 | SIAM PUBLICATIONS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/17109]  |
| 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, Inst Computat Math, LSEC, Beijing 100080, Peoples R China 2.Fudan Univ, Dept Math, Shanghai 200437, Peoples R China |
| 推荐引用方式 GB/T 7714 | Xu, XJ,Li, LK,Chen, WB. A multigrid method or the mortar-type Morley element approximation of a plate bending problem[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS,2002,39(5):1712-1731. |
| APA | Xu, XJ,Li, LK,&Chen, WB.(2002).A multigrid method or the mortar-type Morley element approximation of a plate bending problem.SIAM JOURNAL ON NUMERICAL ANALYSIS,39(5),1712-1731. |
| MLA | Xu, XJ,et al."A multigrid method or the mortar-type Morley element approximation of a plate bending problem".SIAM JOURNAL ON NUMERICAL ANALYSIS 39.5(2002):1712-1731. |
入库方式： OAI收割
来源：数学与系统科学研究院
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