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

文献类型：期刊论文

作者Xi, Yingxia1,2; Ji, Xia3; Geng, Hongrui4
刊名JOURNAL OF COMPUTATIONAL PHYSICS
出版日期2018-12-01
卷号374页码:237-248
ISSN号0021-9991
关键词Transmission eigenvalue problem Elastic wave equation Discontinuous Galerkin method
DOI10.1016/j.jcp.2018.07.053
英文摘要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.
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
语种英语
出版者ACADEMIC PRESS INC ELSEVIER SCIENCE
WOS记录号WOS:000447904200010
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/31691]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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