A Simple Low-Degree Optimal Finite Element Scheme for the Elastic Transmission Eigenvalue Problem

doi:10.4208/cicp.OA-2020-0260

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	A Simple Low-Degree Optimal Finite Element Scheme for the Elastic Transmission Eigenvalue Problem
	Xi, Yingxia 1; Ji, Xia 2,3; Zhang, Shuo 4,5
	2021-10-01
发表期刊	COMMUNICATIONS IN COMPUTATIONAL PHYSICS
ISSN	1815-2406
卷号	30 期号:4 页码:1061-1082
摘要	The paper presents a finite element scheme for the elastic transmission eigenvalue problem written as a fourth order eigenvalue problem. The scheme uses piecewise cubic polynomials and obtains optimal convergence rate. Compared with other low-degree and nonconforming finite element schemes, the scheme inherits the continuous bilinear form which does not need extra stabilizations and is thus simple to implement.
关键词	subject Elastic transmission eigenvalue problem nonconforming finite element method high accuracy
DOI	10.4208/cicp.OA-2020-0260
收录类别	SCI
语种	英语
资助项目	Strategic Priority Research Program of CAS[XDB 41000000] ; 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] ; National Centre for Mathematics and Interdisciplinary Sciences, Chinese Academy of Sciences ; Natural Science Foundation of Jiangsu Province[BK20190431] ; Beijing Natural Science Foundation[Z200003]
WOS研究方向	Physics
WOS类目	Physics, Mathematical
WOS记录号	WOS:000687627000005
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/59163
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 5.Univ Chinese Acad Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Xi, Yingxia,Ji, Xia,Zhang, Shuo. A Simple Low-Degree Optimal Finite Element Scheme for the Elastic Transmission Eigenvalue Problem[J]. COMMUNICATIONS IN COMPUTATIONAL PHYSICS,2021,30(4):1061-1082.
APA	Xi, Yingxia,Ji, Xia,&Zhang, Shuo.(2021).A Simple Low-Degree Optimal Finite Element Scheme for the Elastic Transmission Eigenvalue Problem.COMMUNICATIONS IN COMPUTATIONAL PHYSICS,30(4),1061-1082.
MLA	Xi, Yingxia,et al."A Simple Low-Degree Optimal Finite Element Scheme for the Elastic Transmission Eigenvalue Problem".COMMUNICATIONS IN COMPUTATIONAL PHYSICS 30.4(2021):1061-1082.