Error Analysis of Nonconforming Virtual Element Method for Stokes Problem with Low Regularity

被引：0
|
作者：
Wang, Tongli [1 ]
Zhao, Jikun [1 ]
机构：
[1] Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Peoples R China
来源：
TAIWANESE JOURNAL OF MATHEMATICS | 2023年 / 27卷 / 04期
基金：
中国国家自然科学基金;
关键词：
nonconforming virtual element; Stokes equation; polygonal mesh;
D O I：
10.11650/tjm/230205
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, the nonconforming virtual element method is used to solve the Stokes problem where the velocity and pressure are allowed to have the low regularity. With the help of an enriching operator, the consistency error is estimated under the low regularity condition. Then the optimal error estimates are obtained for the velocity and pressure approximations, which implies that the nonconforming virtual element method has the good convergence even for the Stokes problem with the low regularity.
引用
收藏
页码：719 / 735
页数：17
相关论文
共 50 条
  • [21] Composite penalty method of a low order anisotropic nonconforming finite element for the Stokes problem
    Jing-zhu Wu
    Xiu-zhi Xing
    Dong-yang Shi
    Applied Mathematics-A Journal of Chinese Universities, 2013, 28 : 49 - 56
  • [22] Covolume method for new nonconforming rectangle element for the Stokes problem
    Kang, KS
    Kwak, DY
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2002, 43 (8-9) : 1063 - 1078
  • [23] A nonconforming Trefftz virtual element method for the Helmholtz problem
    Mascotto, Lorenzo
    Perugia, Ilaria
    Pichler, Alexander
    MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2019, 29 (09): : 1619 - 1656
  • [24] A Nonconforming Virtual Element Method for the Elliptic Interface Problem
    Wang, Haimei
    Zheng, Xianyan
    Chen, Jinru
    Wang, Feng
    EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 2024, 14 (02) : 397 - 417
  • [25] Covolume method for new nonconforming rectangle element for the stokes problem
    Kab Seok Kang
    Do Young Kwak
    Computers and Mathematics with Applications, 2002, 43 (8-9): : 1063 - 1078
  • [26] A Posterior Error Analysis for the Nonconforming Discretization of Stokes Eigenvalue Problem
    Shang Hui JIA
    Fu Sheng LUO
    He Hu XIE
    ActaMathematicaSinica(EnglishSeries), 2014, 30 (06) : 949 - 967
  • [27] A posterior error analysis for the nonconforming discretization of Stokes eigenvalue problem
    Shang Hui Jia
    Fu Sheng Luo
    He Hu Xie
    Acta Mathematica Sinica, English Series, 2014, 30 : 949 - 967
  • [28] A posterior error analysis for the nonconforming discretization of Stokes eigenvalue problem
    Jia, Shang Hui
    Luo, Fu Sheng
    Xie, He Hu
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2014, 30 (06) : 949 - 967
  • [29] New error estimates of nonconforming mixed finite element methods for the Stokes problem
    Li, Mingxia
    Mao, Shipeng
    Zhang, Shangyou
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2014, 37 (07) : 937 - 951
  • [30] Nonconforming virtual element methods for velocity-pressure Stokes eigenvalue problem
    Adak, Dibyendu
    Manzini, Gianmarco
    Natarajan, Sundararajan
    APPLIED NUMERICAL MATHEMATICS, 2024, 202 : 42 - 66
12345