Two-level stabilized method based on three corrections for the stationary Navier-Stokes equations

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• 作者：Pengzhan Huang^a ; ^{hpzh007@yahoo.cn} ; Xinlong Feng^a ; ^b ; ^{fxlmath@gmail.com} ; Demin Liu^a ; ^{mathldm@yahoo.cn}
• 关键词：Quadratic equal-order stabilized method ; Navier&ndash ; Stokes equations ; Local Gauss integration ; Two-level strategy ; Error estimate
• 刊名：Applied Numerical Mathematics
• 出版年：2012
• 期刊代码：8_01689274
• 类别：cp
• 出版时间：August, 2012
• 卷：62
• 期：8
• 页码：988-1001
• 文件大小：399 K

摘要

The two-level quadratic equal-order stabilized finite element method for the stationary Navier-Stokes equations based on local Gauss integration is considered in this paper. The method includes three corrections: Stokes correction, Newton correction and Oseen correction. Moreover, the stability and convergence of the present method are deduced. Finally, numerical tests confirm the theoretical results of the method.