An adaptive high-order unfitted finite element method for elliptic interface problems

doi:10.1007/s00211-021-01243-2

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	An adaptive high-order unfitted finite element method for elliptic interface problems
	Chen, Zhiming 1,2; Li, Ke 2,3; Xiang, Xueshuang 4
	2021-11-01
发表期刊	NUMERISCHE MATHEMATIK
ISSN	0029-599X
卷号	149 期号:3 页码:507-548
摘要	We design an adaptive unfitted finite element method on the Cartesian mesh with hanging nodes. We derive an hp-reliable and efficient residual type a posteriori error estimate on K-meshes. A key ingredient is a novel hp-domain inverse estimate which allows us to prove the stability of the finite element method under practical interface resolving mesh conditions and also prove the lower bound of the hp a posteriori error estimate. Numerical examples are included.
关键词	65N30
DOI	10.1007/s00211-021-01243-2
收录类别	SCI
语种	英语
资助项目	China National Key Technologies RD Program[2019YFA0709602] ; China Natural Science Foundation[118311061]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000716257800001
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/59534
专题	中国科学院数学与系统科学研究院
通讯作者	Chen, Zhiming
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Dept Basic Informat Engn Univ, Zhengzhou 450001, Peoples R China 4.China Acad Space Technol, Qian Xuesen Lab Space Technol, Beijing 100194, Peoples R China
推荐引用方式 GB/T 7714	Chen, Zhiming,Li, Ke,Xiang, Xueshuang. An adaptive high-order unfitted finite element method for elliptic interface problems[J]. NUMERISCHE MATHEMATIK,2021,149(3):507-548.
APA	Chen, Zhiming,Li, Ke,&Xiang, Xueshuang.(2021).An adaptive high-order unfitted finite element method for elliptic interface problems.NUMERISCHE MATHEMATIK,149(3),507-548.
MLA	Chen, Zhiming,et al."An adaptive high-order unfitted finite element method for elliptic interface problems".NUMERISCHE MATHEMATIK 149.3(2021):507-548.