Uniform convergence of multigrid V-cycle on adaptively refined finite element meshes for second order elliptic problems
文献类型：期刊论文
| 作者 | Wu Haijun; Chen Zhiming |
| 刊名 | SCIENCE IN CHINA SERIES A-MATHEMATICS
 |
| 出版日期 | 2006-10-01 |
| 卷号 | 49期号:10页码:1405-1429 |
| 关键词 | multigrid V-cycle algorithm adaptive finite element meshes local relaxation Scott-Zhang interpolation |
| ISSN号 | 1006-9283 |
| DOI | 10.1007/s11425-006-2005-5 |
| 英文摘要 | In this paper we prove the uniform convergence of the standard multigrid V-cycle algorithm with the Gauss-Seidel relaxation performed only on the new nodes and their "immediate" neighbors for discrete elliptic problems on the adaptively refined finite element meshes using the newest vertex bisection algorithm. The proof depends on sharp estimates on the relationship of local mesh sizes and a new stability estimate for the space decomposition based on the Scott-Zhang interpolation operator. Extensive numerical results are reported, which confirm the theoretical analysis. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000241999600011 |
| 出版者 | SCIENCE CHINA PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/2458]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Wu Haijun |
| 作者单位 | Chinese Acad Sci, Inst Computat Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Wu Haijun,Chen Zhiming. Uniform convergence of multigrid V-cycle on adaptively refined finite element meshes for second order elliptic problems[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS,2006,49(10):1405-1429. |
| APA | Wu Haijun,&Chen Zhiming.(2006).Uniform convergence of multigrid V-cycle on adaptively refined finite element meshes for second order elliptic problems.SCIENCE IN CHINA SERIES A-MATHEMATICS,49(10),1405-1429. |
| MLA | Wu Haijun,et al."Uniform convergence of multigrid V-cycle on adaptively refined finite element meshes for second order elliptic problems".SCIENCE IN CHINA SERIES A-MATHEMATICS 49.10(2006):1405-1429. |
入库方式： OAI收割
来源：数学与系统科学研究院
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