The nonconforming virtual element method for parabolic problems

doi:10.1016/j.apnum.2019.04.002

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	The nonconforming virtual element method for parabolic problems
	Zhao, Jikun 1; Zhang, Bei 2; Zhu, Xiaopeng 1,3,4
	2019-09-01
发表期刊	APPLIED NUMERICAL MATHEMATICS
ISSN	0168-9274
卷号	143 页码:97-111
摘要	The nonconforming virtual element method for the parabolic problem is developed in this paper, where the semi-discrete and fully discrete formulations are presented. In order to analyze the convergence of the method, we construct a projection operator in the sense of the energy norm and give the corresponding error estimates in the L-2 norm and broken H-1 semi-norm. With the help of the energy projection operator, we prove the optimal convergence of the nonconforming virtual element method in the semi-discrete and fully discrete formulations, respectively. Finally, we investigate the convergence of the nonconforming virtual element method by some numerical examples, which verify the theoretical results. (C) 2019 IMACS. Published by Elsevier B.V. All rights reserved.
关键词	Nonconforming virtual element Parabolic problem Polygonal or polyhedral meshes
DOI	10.1016/j.apnum.2019.04.002
语种	英语
资助项目	National Natural Science Foundation of China[11701522] ; Research Foundation for Advanced Talents of Henan University of Technology[2018BS013]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000471739600008
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/35004
专题	中国科学院数学与系统科学研究院
通讯作者	Zhao, Jikun
作者单位	1.Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Henan, Peoples R China 2.Henan Univ Technol, Coll Sci, Zhengzhou 450001, Henan, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 101407, Peoples R China 4.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, LSEC,NCMIS, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Zhao, Jikun,Zhang, Bei,Zhu, Xiaopeng. The nonconforming virtual element method for parabolic problems[J]. APPLIED NUMERICAL MATHEMATICS,2019,143:97-111.
APA	Zhao, Jikun,Zhang, Bei,&Zhu, Xiaopeng.(2019).The nonconforming virtual element method for parabolic problems.APPLIED NUMERICAL MATHEMATICS,143,97-111.
MLA	Zhao, Jikun,et al."The nonconforming virtual element method for parabolic problems".APPLIED NUMERICAL MATHEMATICS 143(2019):97-111.