KMS Of Academy of mathematics and systems sciences, CAS
| The nonconforming virtual element method for parabolic problems | |
| Zhao, Jikun1; Zhang, Bei2; Zhu, Xiaopeng1,3,4 | |
| 2019-09-01 | |
| Source Publication | APPLIED NUMERICAL MATHEMATICS
 |
| ISSN | 0168-9274 |
| Volume | 143Pages:97-111 |
| Abstract | 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. |
| Keyword | Nonconforming virtual element Parabolic problem Polygonal or polyhedral meshes |
| DOI | 10.1016/j.apnum.2019.04.002 |
| Language | 英语 |
| Funding Project | National Natural Science Foundation of China[11701522] ; Research Foundation for Advanced Talents of Henan University of Technology[2018BS013] |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied |
| WOS ID | WOS:000471739600008 |
| Publisher | ELSEVIER SCIENCE BV |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/35004 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Zhao, Jikun |
| Affiliation | 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 |
| Recommended Citation 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. |
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