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

doi:10.1016/j.cma.2021.114505

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	High order interface-penalty finite element methods for elliptic interface problems with Robin jump conditions
	Li, Xujing 1; Zhang, Xiaodi 2; Zhou, Xinxin 3
	2022-02-15
发表期刊	COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
ISSN	0045-7825
卷号	390 页码:24
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.
关键词	Interface problem Unfitted mesh Interface-penalty finite element method Robin jump conditions Nitsche's method
DOI	10.1016/j.cma.2021.114505
收录类别	SCI
语种	英语
WOS研究方向	Engineering ; Mathematics ; Mechanics
WOS类目	Engineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications ; Mechanics
WOS记录号	WOS:000776536000003
出版者	ELSEVIER SCIENCE SA
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/60344
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.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
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.