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

doi:10.1016/j.cma.2021.114505

	High order interface-penalty finite element methods for elliptic interface problems with Robin jump conditions
	Li, Xujing 3; Zhang, Xiaodi 2; Zhou, Xinxin 1
刊名	COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
	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
DOI	10.1016/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
出版者	ELSEVIER SCIENCE SA
WOS记录号	WOS:000776536000003
内容类型	期刊论文
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.