A multilevel successive iteration method for nonlinear elliptic problems
文献类型：期刊论文
| 作者 | Huang, YQ; Shi, ZC ; Tang, T; Xue, WM
|
| 刊名 | MATHEMATICS OF COMPUTATION
 |
| 出版日期 | 2004 |
| 卷号 | 73期号:246页码:525-539 |
| 关键词 | multigrid method cascadic algorithm fi nite element method nonlinear elliptic problem error estimate complexity |
| ISSN号 | 0025-5718 |
| 英文摘要 | In this paper, a multilevel successive iteration method for solving nonlinear elliptic problems is proposed by combining a multilevel linearization technique and the cascadic multigrid approach. The error analysis and the complexity analysis for the proposed method are carried out based on the two-grid theory and its multilevel extension. A superconvergence result for the multilevel linearization algorithm is established, which, besides being interesting for its own sake, enables us to obtain the error estimates for the multilevel successive iteration method. The optimal complexity is established for nonlinear elliptic problems in 2-D provided that the number of grid levels is fixed. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000189362000002 |
| 出版者 | AMER MATHEMATICAL SOC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/608]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Huang, YQ |
| 作者单位 | 1.Xiangtan Univ, Dept Math, Xiangtan 411105, Hunan, Peoples R China 2.Xiangtan Univ, Inst Computat & Appl Math, Xiangtan 411105, Hunan, Peoples R China 3.Chinese Acad Sci, Inst Computat Math, Beijing 100080, Peoples R China 4.Hong Kong Baptist Univ, Dept Math, Hong Kong, Hong Kong, Peoples R China |
| 推荐引用方式 GB/T 7714 | Huang, YQ,Shi, ZC,Tang, T,et al. A multilevel successive iteration method for nonlinear elliptic problems[J]. MATHEMATICS OF COMPUTATION,2004,73(246):525-539. |
| APA | Huang, YQ,Shi, ZC,Tang, T,&Xue, WM.(2004).A multilevel successive iteration method for nonlinear elliptic problems.MATHEMATICS OF COMPUTATION,73(246),525-539. |
| MLA | Huang, YQ,et al."A multilevel successive iteration method for nonlinear elliptic problems".MATHEMATICS OF COMPUTATION 73.246(2004):525-539. |
入库方式： OAI收割
来源：数学与系统科学研究院
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