A CASCADIC MULTIGRID METHOD FOR EIGENVALUE PROBLEM

	A CASCADIC MULTIGRID METHOD FOR EIGENVALUE PROBLEM
	Han Xiaole 1; Xie Hehu2 ; Xu Fei 3
	2017
发表期刊	Journal of Computational Mathematics
ISSN	0254-9409
卷号	35 期号:1 页码:74
摘要	A cascadic multigrid method is proposed for eigenvalue problems based on the multilevel correction scheme. With this new scheme, an eigenvalue problem on the finest space can be solved by linear smoothing steps on a series of multilevel finite element spaces and nonlinear correcting steps on special coarsest spaces. Once the sequence of finite element spaces and the number of smoothing steps are appropriately chosen, the optimal convergence rate with the optimal computational work can be obtained. Some numerical experiments are presented to validate our theoretical analysis. Mathematics subject classification: 65N30, 65N25, 65L15, 65B99.
语种	英语
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/26097
专题	计算数学与科学工程计算研究所
作者单位	1.IAPCM, Institute of Applied Physics and Computational Mathematics 2.中国科学院数学与系统科学研究院 3.北京工业大学
推荐引用方式 GB/T 7714	Han Xiaole,Xie Hehu,Xu Fei. A CASCADIC MULTIGRID METHOD FOR EIGENVALUE PROBLEM[J]. Journal of Computational Mathematics,2017,35(1):74.
APA	Han Xiaole,Xie Hehu,&Xu Fei.(2017).A CASCADIC MULTIGRID METHOD FOR EIGENVALUE PROBLEM.Journal of Computational Mathematics,35(1),74.
MLA	Han Xiaole,et al."A CASCADIC MULTIGRID METHOD FOR EIGENVALUE PROBLEM".Journal of Computational Mathematics 35.1(2017):74.