A (CIP)-I-0 method of transmission eigenvalues for elastic waves

doi:10.1016/j.jcp.2018.07.053

	A (CIP)-I-0 method of transmission eigenvalues for elastic waves
	Xi, Yingxia 1,2; Ji, Xia3 ; Geng, Hongrui 4
	2018-12-01
发表期刊	JOURNAL OF COMPUTATIONAL PHYSICS
ISSN	0021-9991
卷号	374 页码:237-248
摘要	This paper develops a discontinuous Galerkin method to compute a few smallest elasticity transmission eigenvalues, which are of practical importance in inverse elastic scattering theory. For high-order problems, comparing with classical conforming finite element methods, discontinuous Galerkin methods use simpler basis functions which make the numerical implementation much easier. In this paper, we propose an interior penalty discontinuous Galerkin method using C-0 Lagrange elements ((CIP)-I-0) for the elastic transmission eigenvalue problem and prove the optimal convergence. Numerical examples are presented to validate its effectiveness. Both real and complex eigenvalues can be obtained. (C) 2018 Elsevier Inc. All rights reserved.
关键词	Transmission eigenvalue problem Elastic wave equation Discontinuous Galerkin method
DOI	10.1016/j.jcp.2018.07.053
语种	英语
资助项目	National Natural Science Foundation of China[11271018] ; National Natural Science Foundation of China[91630313] ; National Center for Mathematics and Interdisciplinary Sciences, Chinese Academy of Sciences ; NSFC[11701526] ; NSFC[11501063] ; NSFC[11701527]
WOS研究方向	Computer Science ; Physics
WOS类目	Computer Science, Interdisciplinary Applications ; Physics, Mathematical
WOS记录号	WOS:000447904200010
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/31692
专题	计算数学与科学工程计算研究所
通讯作者	Ji, Xia
作者单位	1.Nanjing Univ Sci & Technol, Sch Sci, Nanjing 210094, Jiangsu, Peoples R China 2.Univ Chinese Acad Sci, Beijing 100049, Peoples R China 3.Chinese Acad Sci, LSEC, ICMSEC, Acad Math & Syst Sci, Beijing 100190, Peoples R China 4.Zhengzhou Univ Light Ind, Coll Math & Informat Sci, Zhengzhou 450002, Henan, Peoples R China
推荐引用方式 GB/T 7714	Xi, Yingxia,Ji, Xia,Geng, Hongrui. A (CIP)-I-0 method of transmission eigenvalues for elastic waves[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2018,374:237-248.
APA	Xi, Yingxia,Ji, Xia,&Geng, Hongrui.(2018).A (CIP)-I-0 method of transmission eigenvalues for elastic waves.JOURNAL OF COMPUTATIONAL PHYSICS,374,237-248.
MLA	Xi, Yingxia,et al."A (CIP)-I-0 method of transmission eigenvalues for elastic waves".JOURNAL OF COMPUTATIONAL PHYSICS 374(2018):237-248.