A new defect-correction method for the stationary Navier-Stokes equations based on local Gauss integration

被引：6

作者：

Huang, Pengzhan ^{[1
]}

He, Yinnian ^{[1
,2
]}

Feng, Xinlong ^{[2
]}

机构：

[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China

[2] Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2012年 / 35卷 / 09期

关键词：

Navier-Stokes equations; defect correction; local Gauss integration; stability; error estimate; FINITE-ELEMENT APPROXIMATION; POSTERIORI ERROR ESTIMATORS; REGULARITY; FLOW;

D O I：

10.1002/mma.1618

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new defect-correction method for the stationary NavierStokes equations based on local Gauss integration is considered in this paper. In both defect step and correction step, a locally stabilized technique based on the Gaussian quadrature rule is used. Moreover, stability and convergence of the presented method are deduced. Finally, we provide some numerical experiments to show good stability and effectiveness properties of the presented method. Copyright (C) 2012 John Wiley & Sons, Ltd.

引用

页码：1033 / 1046

页数：14

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