Stabilized Multiscale Nonconforming Finite Element Method for the Stationary Navier-Stokes Equations

被引：0
|
作者：
Zhang, Tong [1 ]
Xu, Shunwei [1 ]
Deng, Jien [1 ]
机构：
[1] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo 454003, Peoples R China
来源：
ABSTRACT AND APPLIED ANALYSIS | 2012年
关键词：
PRESSURE STABILIZATION; ENRICHMENT;
D O I：
10.1155/2012/651808
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider a stabilized multiscale nonconforming finite element method for the two-dimensional stationary incompressible Navier-Stokes problem. This method is based on the enrichment of the standard polynomial space for the velocity component with multiscale function and the nonconforming lowest equal-order finite element pair. Stability and existence uniqueness of the numerical solution are established, optimal-order error estimates are also presented. Finally, some numerical results are presented to validate the performance of the proposed method.
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页数：27
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