A quadratic equal-order stabilized finite element method for the conduction-convection equations

被引：21
|
作者：
Huang, Pengzhan [1 ]
Feng, Xinlong [1 ]
He, Yinnian [1 ,2 ]
机构：
[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China
[2] Xi An Jiao Tong Univ, Sch Math & Stat, Ctr Computat Geosci, Xian 710049, Peoples R China
来源：
COMPUTERS & FLUIDS | 2013年 / 86卷
基金：
中国博士后科学基金; 中国国家自然科学基金;
关键词：
Quadratic equal-order stabilized method; Conduction-convection equations; Two local Gauss integrations; Stability; Error estimates; Numerical experiments; NAVIER-STOKES EQUATIONS;
D O I：
10.1016/j.compfluid.2013.06.028
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
A quadratic equal-order stabilized finite element method is considered for the stationary conduction-convection equations, based on two local Gauss integrations. The stabilized method is characterized by the feature that it offsets the discrete pressure gradient space by the residual of the simple and symmetry term at element level to circumvent the inf-sup condition. The stability and error estimates are analyzed, which show that the presented method is stable and has good precision. Numerical results are shown to support the developed theory analysis and demonstrate the good effectiveness of the given method. (C) 2013 Elsevier Ltd. All rights reserved.
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页码：169 / 176
页数：8
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