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
Order Reduced Schemes for the Fourth Order Eigenvalue Problems on Multi-Connected Planar Domains

文献类型：期刊论文

作者Xi, Yingxia1; Ji, Xia2,3; Zhang, Shuo4
刊名NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS
出版日期2021-11-01
卷号14期号:4页码:920-944
关键词Multilevel mixed element method fourth order eigenvalue problem multi-connected planar domain
ISSN号1004-8979
DOI10.4208/nmtma.OA-2021-0046
英文摘要In this paper, we study the order reduced finite element method for the fourth order eigenvalue problems on multi-connected planar domains. Particularly, we take the biharmonic and the Helmholtz transmission eigenvalue problems as model problems, present for each an equivalent order reduced formulation and a corresponding stable discretization scheme, and present rigorous theoretical analysis. The schemes are readily fit for multilevel correction algorithms with optimal computational costs. Numerical experiments are given for verifications.
资助项目National Natural Science Foundation of China[11471026] ; National Natural Science Foundation of China[11871465] ; National Natural Science Foundation of China[11901295] ; National Natural Science Foundation of China[11971468] ; National Natural Science Foundation of China[91630313] ; Natural Science Foundation of Jiangsu Province[BK20190431] ; Start-up Fund for Scientific Research, Nanjing University of Science and Technology[AE89991/109] ; Beijing Natural Science Foundation[Z200003] ; National Centre for Mathematics and Interdisciplinary Sciences, Chinese Academy of Sciences
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000695218700004
出版者GLOBAL SCIENCE PRESS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/59254]  
专题中国科学院数学与系统科学研究院
通讯作者Ji, Xia
作者单位1.Nanjing Univ Sci & Technol, Sch Sci, Nanjing 210094, Peoples R China
2.Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China
3.Beijing Inst Technol, Beijing Key Lab MCAACI, Beijing 100081, Peoples R China
4.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China
推荐引用方式
GB/T 7714		 Xi, Yingxia,Ji, Xia,Zhang, Shuo. Order Reduced Schemes for the Fourth Order Eigenvalue Problems on Multi-Connected Planar Domains[J]. NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS,2021,14(4):920-944.
APA Xi, Yingxia,Ji, Xia,&Zhang, Shuo.(2021).Order Reduced Schemes for the Fourth Order Eigenvalue Problems on Multi-Connected Planar Domains.NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS,14(4),920-944.
MLA Xi, Yingxia,et al."Order Reduced Schemes for the Fourth Order Eigenvalue Problems on Multi-Connected Planar Domains".NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS 14.4(2021):920-944.

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。