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.
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页码：719 / 735
页数：17
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