Cascadic multigrid methods for parabolic problems
文献类型：期刊论文
| 作者 | Du Qiang2; Ming PingBing1
|
| 刊名 | SCIENCE IN CHINA SERIES A-MATHEMATICS
 |
| 出版日期 | 2008-08-01 |
| 卷号 | 51期号:8页码:1415-1439 |
| 关键词 | cascadic multigrid method parabolic problem finite element methods backward Euler scheme smoother stability optimal error order optimal complexity |
| ISSN号 | 1006-9283 |
| DOI | 10.1007/s11425-008-0112-1 |
| 英文摘要 | In this paper, we consider the cascadic multigrid method for a parabolic type equation. Backward Euler approximation in time and linear finite element approximation in space are employed. A stability result is established under some conditions on the smoother. Using new and sharper estimates for the smoothers that reflect the precise dependence on the time step and the spatial mesh parameter, these conditions are verified for a number of popular smoothers. Optimal error bounds are derived for both smooth and non-smooth data. Iteration strategies guaranteeing both the optimal accuracy and the optimal complexity are presented. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000258074400008 |
| 出版者 | SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/5526]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Ming PingBing |
| 作者单位 | 1.Chinese Acad Sci, AMSS, Inst Computat Math & Sci Engn Comp, LSEC, Beijing 100190, Peoples R China 2.Penn State Univ, Dept Math, University Pk, PA 16802 USA |
| 推荐引用方式 GB/T 7714 | Du Qiang,Ming PingBing. Cascadic multigrid methods for parabolic problems[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS,2008,51(8):1415-1439. |
| APA | Du Qiang,&Ming PingBing.(2008).Cascadic multigrid methods for parabolic problems.SCIENCE IN CHINA SERIES A-MATHEMATICS,51(8),1415-1439. |
| MLA | Du Qiang,et al."Cascadic multigrid methods for parabolic problems".SCIENCE IN CHINA SERIES A-MATHEMATICS 51.8(2008):1415-1439. |
入库方式： OAI收割
来源：数学与系统科学研究院
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