KMS Of Academy of mathematics and systems sciences, CAS
| High order interface-penalty finite element methods for elliptic interface problems with Robin jump conditions | |
| Li, Xujing1; Zhang, Xiaodi2; Zhou, Xinxin3 | |
| 2022-02-15 | |
| Source Publication | COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
 |
| ISSN | 0045-7825 |
| Volume | 390Pages:24 |
| Abstract | In this paper, we propose high-order interface penalty finite element methods for elliptic interface problems with Robin interface jump conditions. We employ the delicate weighting trick and the general Nitsche's method to ensure the stability and robustness, respectively. Optimal error estimates are proven in the energy norm for the schemes. The error estimates are independent of both the cut configurations and the asymptotic parameter. A series of three-dimensional numerical results confirm the robustness and efficiency of the proposed methods.(c) 2021 Elsevier B.V. All rights reserved. |
| Keyword | Interface problem Unfitted mesh Interface-penalty finite element method Robin jump conditions Nitsche's method |
| DOI | 10.1016/j.cma.2021.114505 |
| Indexed By | SCI |
| Language | 英语 |
| WOS Research Area | Engineering ; Mathematics ; Mechanics |
| WOS Subject | Engineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications ; Mechanics |
| WOS ID | WOS:000776536000003 |
| Publisher | ELSEVIER SCIENCE SA |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/60344 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Zhang, Xiaodi |
| Affiliation | 1.Hangzhou Normal Univ, Sch Math, Hangzhou 311121, Peoples R China 2.Zhengzhou Univ, Henan Acad Big Data, Zhengzhou 450001, Peoples R China 3.Univ Chinese Acad Sci, Chinese Acad Sci, Acad Math & Syst Sci,Sch Math Sci, Inst Computat Math & Sci Engn Comp,NCMIS,LSEC, Beijing 100190, Peoples R China |
| Recommended Citation GB/T 7714 | Li, Xujing,Zhang, Xiaodi,Zhou, Xinxin. High order interface-penalty finite element methods for elliptic interface problems with Robin jump conditions[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING,2022,390:24. |
| APA | Li, Xujing,Zhang, Xiaodi,&Zhou, Xinxin.(2022).High order interface-penalty finite element methods for elliptic interface problems with Robin jump conditions.COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING,390,24. |
| MLA | Li, Xujing,et al."High order interface-penalty finite element methods for elliptic interface problems with Robin jump conditions".COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING 390(2022):24. |
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