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Convergence analysis on multigrid methods for elliptic problems with large jumps in coefficients

文献类型：期刊论文

作者Zheng, Hui1; Wu, Jinbiao2
刊名IMA JOURNAL OF NUMERICAL ANALYSIS
出版日期2015-10-01
卷号35期号:4页码:1888-1912
关键词multigrid method jump coefficient problem discrete harmonic extension nearly singular problem preconditioned conjugate gradient method
ISSN号0272-4979
DOI10.1093/imanum/dru055
英文摘要In this paper, we investigate the multigrid methods for the linear finite element approximation of elliptic problems with large jumps in coefficients. Some singular functions, which cause the deterioration of the convergence rate, are introduced in our space splitting. According to the space splitting, we construct a modified multigrid method and prove that its uniform convergence is independent of the mesh size and the jumps. As a result, we also prove that the conjugate gradient method with the 'V'-cycle multigrid preconditioner converges uniformly.
资助项目National Science Foundation of China (NSFC)[10971006] ; National Science Foundation of China (NSFC)[91130011] ; NSFC[91130001] ; NSFC[11421101]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000362826000015
出版者OXFORD UNIV PRESS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/21010]  
专题中国科学院数学与系统科学研究院
通讯作者Wu, Jinbiao
作者单位1.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China
2.Peking Univ, Sch Math Sci, HEDPS, CAPT & LMAM, Beijing 100871, Peoples R China
推荐引用方式
GB/T 7714		 Zheng, Hui,Wu, Jinbiao. Convergence analysis on multigrid methods for elliptic problems with large jumps in coefficients[J]. IMA JOURNAL OF NUMERICAL ANALYSIS,2015,35(4):1888-1912.
APA Zheng, Hui,&Wu, Jinbiao.(2015).Convergence analysis on multigrid methods for elliptic problems with large jumps in coefficients.IMA JOURNAL OF NUMERICAL ANALYSIS,35(4),1888-1912.
MLA Zheng, Hui,et al."Convergence analysis on multigrid methods for elliptic problems with large jumps in coefficients".IMA JOURNAL OF NUMERICAL ANALYSIS 35.4(2015):1888-1912.

入库方式： OAI收割

来源：数学与系统科学研究院

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