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

doi:10.4208/nmtma.OA-2021-0046

CSpace

	Order Reduced Schemes for the Fourth Order Eigenvalue Problems on Multi-Connected Planar Domains
	Xi, Yingxia 1; Ji, Xia 2,3; Zhang, Shuo 4
	2021-11-01
发表期刊	NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS
ISSN	1004-8979
卷号	14 期号:4 页码:920-944
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.
关键词	Multilevel mixed element method fourth order eigenvalue problem multi-connected planar domain
DOI	10.4208/nmtma.OA-2021-0046
收录类别	SCI
语种	英语
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
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000695218700004
出版者	GLOBAL SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/59255
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.