KMS Of Academy of mathematics and systems sciences, CAS
| A Simple Low-Degree Optimal Finite Element Scheme for the Elastic Transmission Eigenvalue Problem | |
| Xi, Yingxia1; Ji, Xia2,3; Zhang, Shuo4,5 | |
| 2021-10-01 | |
| Source Publication | COMMUNICATIONS IN COMPUTATIONAL PHYSICS
 |
| ISSN | 1815-2406 |
| Volume | 30Issue:4Pages:1061-1082 |
| Abstract | 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. |
| Keyword | subject Elastic transmission eigenvalue problem nonconforming finite element method high accuracy |
| DOI | 10.4208/cicp.OA-2020-0260 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | 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 Research Area | Physics |
| WOS Subject | Physics, Mathematical |
| WOS ID | WOS:000687627000005 |
| Publisher | GLOBAL SCIENCE PRESS |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/59163 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Ji, Xia |
| Affiliation | 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 |
| Recommended Citation 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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