The divergence-free nonconforming virtual element method for the Navier-Stokes problem

被引：14
|
作者：
Zhang, Bei [1 ]
Zhao, Jikun [2 ]
Li, Meng [2 ]
机构：
[1] Henan Univ Technol, Sch Sci, Zhengzhou, Peoples R China
[2] Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Peoples R China
来源：
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2023年 / 39卷 / 03期
基金：
中国国家自然科学基金;
关键词：
divergence-free; Navier-Stokes problem; nonconforming virtual element; polygonal mesh; FORMULATION; DARCY;
D O I：
10.1002/num.22812
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present the divergence-free nonconforming virtual element method for the Navier-Stokes problem. By using a gradient projection operator, we construct a nonconforming virtual element that allows us to compute the L-2-projection. The nonconforming virtual element provides the exact divergence-free approximation to the velocity and is proved to be convergent with the optimal convergence rate. Finally, the numerical results are shown to confirm the convergence of the nonconforming virtual element.
引用
收藏
页码：1977 / 1995
页数：19
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