Stabilized low order finite elements for Stokes equations with damping

被引：27

作者：

Li, Minghao ^{[1
,2
]}

Shi, Dongyang ^{[3
]}

Dai, Ying ^{[2
]}

机构：

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

[2] Tongji Univ, Sch Aerosp Engn & Appl Mech, Shanghai M0092, Peoples R China

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

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2016年 / 435卷 / 01期

关键词：

Stokes equations; Damped term; Stabilization methods; Low order elements; Error estimates; COMPUTATIONAL FLUID-DYNAMICS; FORMULATION; PROJECTION; CONVERGENCE; EXISTENCE; WEAK;

D O I：

10.1016/j.jmaa.2015.10.040

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the stationary Stokes equations with damping. Low order Mixed finite element spaces are used to approximate the velocity and the pressure, and a local pressure projection stabilization method is used for the pairs to overcome the lack of the inf-sup condition. The stability of this method is proved, and the optimal order error estimates are derived by some nonlinear analysis techniques. At last, two numerical examples are implemented to test the stability and effectiveness of the proposed method. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：646 / 660

页数：15

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