Two-level mixed finite element methods for the Navier-Stokes equations with damping

被引：30

作者：

Li, Minghao ^{[1
]}

Shi, Dongyang ^{[2
]}

Li, Zhenzhen ^{[3
]}

Chen, Hongru ^{[1
]}

机构：

[1] Henan Univ Technol, Coll Sci, Zhengzhou 450001, Henan, Peoples R China

[2] Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Henan, Peoples R China

[3] Zhengzhou Univ Light Ind, Coll Math & Informat Sci, Zhengzhou 450002, Henan, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2019年 / 470卷 / 01期

关键词：

Navier-Stokes equations with damping; Optimal error estimates; Two-level methods; Oseen and Newton corrections; 2-GRID METHOD; DISCRETIZATION; SUPERCONVERGENCE; EXISTENCE; SCHEME; WEAK;

D O I：

10.1016/j.jmaa.2018.10.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the mixed finite element methods are considered for the Navier-Stokes equations with damping. Optimal error estimates of the H-1-norm and L-2-norm for the velocity, and the L-2-norm for the pressure are obtained. Moreover, two kinds of two-level methods based on the Oseen correction and Newton correction are presented. Finally, two numerical examples are implemented to confirm the analysis. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：292 / 307

页数：16

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