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High order interface-penalty finite element methods for elliptic interface problems with Robin jump conditions

文献类型：期刊论文

作者Li, Xujing3; Zhang, Xiaodi2; Zhou, Xinxin1
刊名COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
出版日期2022-02-15
卷号390页码:24
关键词Interface problem Unfitted mesh Interface-penalty finite element method Robin jump conditions Nitsche's method
ISSN号0045-7825
DOI10.1016/j.cma.2021.114505
英文摘要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.
WOS研究方向Engineering ; Mathematics ; Mechanics
语种英语
WOS记录号WOS:000776536000003
出版者ELSEVIER SCIENCE SA
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/60343]  
专题中国科学院数学与系统科学研究院
通讯作者Zhang, Xiaodi
作者单位1.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
2.Zhengzhou Univ, Henan Acad Big Data, Zhengzhou 450001, Peoples R China
3.Hangzhou Normal Univ, Sch Math, Hangzhou 311121, Peoples R China
推荐引用方式
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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