A Simple Low-Degree Optimal Finite Element Scheme for the Elastic Transmission Eigenvalue Problem | |
Xi, Yingxia4; Ji, Xia1,5; Zhang, Shuo2,3 | |
刊名 | COMMUNICATIONS IN COMPUTATIONAL PHYSICS |
2021-10-01 | |
卷号 | 30期号:4页码:1061-1082 |
关键词 | subject Elastic transmission eigenvalue problem nonconforming finite element method high accuracy |
ISSN号 | 1815-2406 |
DOI | 10.4208/cicp.OA-2020-0260 |
英文摘要 | 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. |
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 |
语种 | 英语 |
出版者 | GLOBAL SCIENCE PRESS |
WOS记录号 | WOS:000687627000005 |
内容类型 | 期刊论文 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/59162] |
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.Beijing Inst Technol, Beijing Key Lab MCAACI, Beijing 100081, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Beijing 100049, Peoples R China 4.Nanjing Univ Sci & Technol, Sch Sci, Nanjing 210094, Peoples R China 5.Beijing Inst Technol, Sch Math & Stat, Beijing 100081, 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. |
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