A multilevel successive iteration method for nonlinear elliptic problems

	A multilevel successive iteration method for nonlinear elliptic problems
	Huang, YQ ; Shi, ZC; Tang, T ; Xue, WM
	2004
发表期刊	MATHEMATICS OF COMPUTATION
ISSN	0025-5718
卷号	73 期号:246 页码:525-539
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.
关键词	multigrid method cascadic algorithm fi nite element method nonlinear elliptic problem error estimate complexity
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000189362000002
出版者	AMER MATHEMATICAL SOC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/609
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.