GUARANTEED EIGENVALUE BOUNDS FOR THE STEKLOV EIGENVALUE PROBLEM

doi:10.1137/18M1189592

	GUARANTEED EIGENVALUE BOUNDS FOR THE STEKLOV EIGENVALUE PROBLEM
	You, Chun'guang 1; Xie, Hehu2,3 ; Liu, Xuefeng 4
	2019
发表期刊	SIAM JOURNAL ON NUMERICAL ANALYSIS
ISSN	0036-1429
卷号	57 期号:3 页码:1395-1410
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.
关键词	Steklov eigenvalue problem eigenvalue bounds Crouzeix-Raviart finite element method verified computing
DOI	10.1137/18M1189592
语种	英语
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
WOS类目	Mathematics, Applied
WOS记录号	WOS:000473085400018
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/35074
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.CAEP Software Ctr High Performance Numer Simulat, 6 Huayuan Rd, Beijing 100088, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, 55 Zhongguancun East Rd, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 4.Niigata Univ, Grad Sch Sci & Technol, Nishi Ku, 8050 Ikarashi 2 Cho, Niigata, Niigata 9502181, Japan
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.