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 multilevel correction method for Stokes eigenvalue problems and its applications

文献类型：期刊论文

作者Lin, Qun; Luo, Fusheng; Xie, Hehu
刊名MATHEMATICAL METHODS IN THE APPLIED SCIENCES
出版日期2015-12-01
卷号38期号:18页码:4540-4552
关键词Stokes eigenvalue problem finite element method multilevel correction multigrid adaptive technique
ISSN号0170-4214
DOI10.1002/mma.2866
英文摘要In this paper, a new multilevel correction scheme is proposed to solve Stokes eigenvalue problems by the finite element method. This new scheme contains a series of correction steps, and the accuracy of eigenpair approximation can be improved after each step. In each correction step, we only need to solve a Stokes problem on the corresponding fine finite element space and a Stokes eigenvalue problem on the coarsest finite element space. This correction scheme can improve the efficiency of solving Stokes eigenvalue problems by the finite element method. As applications of this multilevel correction method, a multigrid method and an adaptive finite element technique are introduced for Stokes eigenvalue problems. Some numerical results are given to validate our schemes. Copyright (C) 2013 John Wiley & Sons, Ltd.
资助项目National Science Foundation of China[NSFC 11001259] ; National Science Foundation of China[11031006] ; National Science Foundation of China[2011CB309703] ; national Center for Mathematics and Interdisciplinary Science ; President Foundation of AMSS-CAS
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000368252300008
出版者WILEY-BLACKWELL
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/21742]  
专题计算数学与科学工程计算研究所
通讯作者Xie, Hehu
作者单位Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Beijing 100190, Peoples R China
推荐引用方式
GB/T 7714		 Lin, Qun,Luo, Fusheng,Xie, Hehu. A multilevel correction method for Stokes eigenvalue problems and its applications[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES,2015,38(18):4540-4552.
APA Lin, Qun,Luo, Fusheng,&Xie, Hehu.(2015).A multilevel correction method for Stokes eigenvalue problems and its applications.MATHEMATICAL METHODS IN THE APPLIED SCIENCES,38(18),4540-4552.
MLA Lin, Qun,et al."A multilevel correction method for Stokes eigenvalue problems and its applications".MATHEMATICAL METHODS IN THE APPLIED SCIENCES 38.18(2015):4540-4552.

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。