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GUARANTEED EIGENVALUE BOUNDS FOR THE STEKLOV EIGENVALUE PROBLEM

文献类型：期刊论文

作者You, Chun'guang2; Xie, Hehu3,4; Liu, Xuefeng1
刊名SIAM JOURNAL ON NUMERICAL ANALYSIS
出版日期2019
卷号57期号:3页码:1395-1410
关键词Steklov eigenvalue problem eigenvalue bounds Crouzeix-Raviart finite element method verified computing
ISSN号0036-1429
DOI10.1137/18M1189592
英文摘要To provide mathematically rigorous eigenvalue bounds for the Steklov eigenvalue problem, an enhanced version of the eigenvalue estimation algorithm developed by the third author is proposed. Compared with the existing algorithm, which deals with eigenvalue problems formulated by positive definite bilinear forms, the newly proposed method can be used to solve the problem defined with positive semidefinite bilinear forms. In practical eigenvalue estimation for the Steklov eigenvalue problem, the Crouzeix-Raviart finite element method along with quantitative error estimation is adopted. Numerical experiments for eigenvalue problems defined on a square domain and an L-shaped domain are provided to validate the precision of computed eigenvalue bounds.
资助项目Science Challenge Project[TZ2016002] ; National Natural Science Foundation of China[11771434] ; National Natural Science Foundation of China[91330202] ; National Natural Science Foundation of China[11371026] ; National Center for Mathematics and Interdisciplinary Science, CAS ; Japan Society for the Promotion of Science[26800090] ; Japan Society for the Promotion of Science[16H03950] ; Japan Society for the Promotion of Science[18K03411]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000473085400018
出版者SIAM PUBLICATIONS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/35073]  
专题计算数学与科学工程计算研究所
通讯作者Liu, Xuefeng
作者单位1.Niigata Univ, Grad Sch Sci & Technol, Nishi Ku, 8050 Ikarashi 2 Cho, Niigata, Niigata 9502181, Japan
2.CAEP Software Ctr High Performance Numer Simulat, 6 Huayuan Rd, Beijing 100088, Peoples R China
3.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, 55 Zhongguancun East Rd, Beijing 100190, Peoples R China
4.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式
GB/T 7714		 You, Chun'guang,Xie, Hehu,Liu, Xuefeng. GUARANTEED EIGENVALUE BOUNDS FOR THE STEKLOV EIGENVALUE PROBLEM[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS,2019,57(3):1395-1410.
APA You, Chun'guang,Xie, Hehu,&Liu, Xuefeng.(2019).GUARANTEED EIGENVALUE BOUNDS FOR THE STEKLOV EIGENVALUE PROBLEM.SIAM JOURNAL ON NUMERICAL ANALYSIS,57(3),1395-1410.
MLA You, Chun'guang,et al."GUARANTEED EIGENVALUE BOUNDS FOR THE STEKLOV EIGENVALUE PROBLEM".SIAM JOURNAL ON NUMERICAL ANALYSIS 57.3(2019):1395-1410.

入库方式： OAI收割

来源：数学与系统科学研究院

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