A new class of stabilized virtual element methods for the time-dependent Oseen equations

被引：1
|
作者：
Bai, Yanhong [1 ]
Li, Yang [2 ]
Feng, Minfu [3 ]
机构：
[1] Xihua Univ, Coll Sci, Chengdu 610039, Peoples R China
[2] Changzhi Univ, Dept Math, Changzhi 046000, Peoples R China
[3] Sichuan Univ, Sch Math, Chengdu 610064, Peoples R China
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2023年 / 145卷
基金：
中国国家自然科学基金;
关键词：
Virtual elements; The time-dependent Oseen equations; Convection-dominated; Local projection stabilizations; Crank-Nicolson method; LOCAL PROJECTION STABILIZATION; SUPG STABILIZATION;
D O I：
10.1016/j.camwa.2023.06.041
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we extend the divergence-free virtual element method for the time-dependent Oseen equations on polygonal meshes. We employ the standard virtual element method with suitable local projection stabilizations (tensor ������2 projection, ������1 projection and vector ������2 projection) to cope with the convection-dominated case without disrupting the divergence-free property for space discretization and the Crank-Nicolson method for the time discretization. Stability and error estimation are analyzed for semi-discrete and full-discrete schemes of tensor ������2-projection stabilization. Numerical experiments confirm the theoretical results, and three local projection stabilized methods are stable in the convection-dominated case.
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页码：303 / 317
页数：15
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