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The nonconforming virtual element method for parabolic problems

文献类型：期刊论文

作者Zhao, Jikun4; Zhang, Bei3; Zhu, Xiaopeng1,2,4
刊名APPLIED NUMERICAL MATHEMATICS
出版日期2019-09-01
卷号143页码:97-111
关键词Nonconforming virtual element Parabolic problem Polygonal or polyhedral meshes
ISSN号0168-9274
DOI10.1016/j.apnum.2019.04.002
英文摘要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.
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
语种英语
WOS记录号WOS:000471739600008
出版者ELSEVIER SCIENCE BV
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/35003]  
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.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, LSEC,NCMIS, Beijing 100190, Peoples R China
2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 101407, Peoples R China
3.Henan Univ Technol, Coll Sci, Zhengzhou 450001, Henan, Peoples R China
4.Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Henan, 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.

入库方式： OAI收割

来源：数学与系统科学研究院

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