中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
首页 机构 成果 学者
  
  1. CAS IR Grid
  2. 数学与系统科学研究院
  3. 中国科学院数学与系统科学研究院
  4. 计算数学与科学工程计算研究所
A full multigrid method for nonlinear eigenvalue problems

文献类型：期刊论文

作者Jia, ShangHui1; Xie, HeHu2; Xie, ManTing2; Xu, Fei2
刊名SCIENCE CHINA-MATHEMATICS
出版日期2016-10-01
卷号59期号:10页码:2037-2048
关键词nonlinear eigenvalue problem full multigrid method multilevel correction finite element method
ISSN号1674-7283
DOI10.1007/s11425-015-0234-x
英文摘要We introduce a type of full multigrid method for the nonlinear eigenvalue problem. The main idea is to transform the solution of the nonlinear eigenvalue problem into a series of solutions of the corresponding linear boundary value problems on the sequence of finite element spaces and nonlinear eigenvalue problems on the coarsest finite element space. The linearized boundary value problems are solved by some multigrid iterations. Besides the multigrid iteration, all other efficient iteration methods for solving boundary value problems can serve as the linear problem solver. We prove that the computational work of this new scheme is truly optimal, the same as solving the linear corresponding boundary value problem. In this case, this type of iteration scheme certainly improves the overfull efficiency of solving nonlinear eigenvalue problems. Some numerical experiments are presented to validate the efficiency of the new method.
资助项目National Natural Science Foundation of China[91330202] ; National Natural Science Foundation of China[11371026] ; National Natural Science Foundation of China[11201501] ; National Natural Science Foundation of China[11571389] ; National Natural Science Foundation of China[11001259] ; National Natural Science Foundation of China[11031006] ; National Basic Research Program of China[2011CB309703] ; National Center for Mathematics and Interdisciplinary Science, Chinese Academy of Sciences ; President Foundation of Academy of Mathematics and Systems Science, Chinese Academy of Sciences ; Program for Innovation Research in Central University of Finance and Economics
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000384568000010
出版者SCIENCE PRESS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/23693]  
专题计算数学与科学工程计算研究所
通讯作者Xu, Fei
作者单位1.Cent Univ Finance & Econ, Sch Math & Stat, Beijing 100081, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, ICMSEC, Beijing 100190, Peoples R China
推荐引用方式
GB/T 7714		 Jia, ShangHui,Xie, HeHu,Xie, ManTing,et al. A full multigrid method for nonlinear eigenvalue problems[J]. SCIENCE CHINA-MATHEMATICS,2016,59(10):2037-2048.
APA Jia, ShangHui,Xie, HeHu,Xie, ManTing,&Xu, Fei.(2016).A full multigrid method for nonlinear eigenvalue problems.SCIENCE CHINA-MATHEMATICS,59(10),2037-2048.
MLA Jia, ShangHui,et al."A full multigrid method for nonlinear eigenvalue problems".SCIENCE CHINA-MATHEMATICS 59.10(2016):2037-2048.

入库方式： OAI收割

来源：数学与系统科学研究院

浏览0
下载0
收藏0
其他版本

除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。