OPTIMAL QUADRATIC NITSCHE EXTENDED FINITE ELEMENT METHOD FOR INTERFACE PROBLEM OF DIFFUSION EQUATION

doi:10.4208/jcm.1703-m2015-0340

	OPTIMAL QUADRATIC NITSCHE EXTENDED FINITE ELEMENT METHOD FOR INTERFACE PROBLEM OF DIFFUSION EQUATION
	Wang, Fei 1,2; Zhang, Shuo3
	2018
发表期刊	JOURNAL OF COMPUTATIONAL MATHEMATICS
ISSN	0254-9409
卷号	36 期号:5 页码:693-717
摘要	In this paper, we study Nitsche extended finite element method (XFEM) for the interface problem of a two dimensional diffusion equation. Specifically, we study the quadratic XFEM scheme on some shape-regular family of grids and prove the optimal convergence rate of the scheme with respect to the mesh size. Main efforts are devoted onto classifying the cases of intersection between the elements and the interface and prove a weighted trace inequality for the extended finite element functions needed, and the general framework of analysing XFEM can be implemented then.
关键词	Interface problems Extended finite element methods Error estimates Nitsche's scheme Quadratic element
DOI	10.4208/jcm.1703-m2015-0340
语种	英语
资助项目	U.S. Department of Energy, Office of Science, Office of Advanced Scientific Computing Research as part of the Collaboratory on Mathematics for Mesoscopic Modeling of Materials[DE-SC-0009249] ; Key Program of National Natural Science Foundation of China[91430215] ; State Key Laboratory of Scientific and Engineering Computing (LSEC) ; National Center for Mathematics and Interdisciplinary Sciences of Chinese Academy of Sciences (NCMIS) ; National Natural Science Foundation of China[11471026]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000455996800005
出版者	GLOBAL SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/32173
专题	计算数学与科学工程计算研究所
通讯作者	Wang, Fei
作者单位	1.Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R China 2.Penn State Univ, Dept Math, University Pk, PA 16802 USA 3.Chinese Acad Sci, LSEC, ICMSEC, NCMIS,Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Wang, Fei,Zhang, Shuo. OPTIMAL QUADRATIC NITSCHE EXTENDED FINITE ELEMENT METHOD FOR INTERFACE PROBLEM OF DIFFUSION EQUATION[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2018,36(5):693-717.
APA	Wang, Fei,&Zhang, Shuo.(2018).OPTIMAL QUADRATIC NITSCHE EXTENDED FINITE ELEMENT METHOD FOR INTERFACE PROBLEM OF DIFFUSION EQUATION.JOURNAL OF COMPUTATIONAL MATHEMATICS,36(5),693-717.
MLA	Wang, Fei,et al."OPTIMAL QUADRATIC NITSCHE EXTENDED FINITE ELEMENT METHOD FOR INTERFACE PROBLEM OF DIFFUSION EQUATION".JOURNAL OF COMPUTATIONAL MATHEMATICS 36.5(2018):693-717.