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Uniform convergence of multigrid V-cycle on adaptively refined finite element meshes for second order elliptic problems
Wu Haijun; Chen Zhiming
2006-10-01
发表期刊SCIENCE IN CHINA SERIES A-MATHEMATICS
ISSN1006-9283
卷号49期号:10页码:1405-1429
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.
关键词multigrid V-cycle algorithm adaptive finite element meshes local relaxation Scott-Zhang interpolation
DOI10.1007/s11425-006-2005-5
语种英语
WOS研究方向Mathematics
WOS类目Mathematics, Applied ; Mathematics
WOS记录号WOS:000241999600011
出版者SCIENCE CHINA PRESS
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/2459
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.
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