Stabilized finite-element method for the stationary Navier-Stokes equations

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• 作者：Yinnian He ; Aiwen Wang and Liquan Mei
• 关键词：error estimation ; Navier ; Stokes equations ; stabilized finite element
• 刊名：Journal of Engineering Mathematics
• 出版年：2005
• 出版时间：2005
• 年：2005
• 卷：51
• 期：4
• 页码：367-380
• 全文大小：447 KB

文摘

A stabilized finite-element method for the two-dimensional stationary incompressible Navier-Stokes equations is investigated in this work. A macroelement condition is introduced for constructing the local stabilized formulation of the stationary Navier-Stokes equations. By satisfying this condition, the stability of the Q₁–P₀ quadrilateral element and the P₁–P₀ triangular element are established. Moreover, the well-posedness and the optimal error estimate of the stabilized finite-element method for the stationary Navier-Stokes equations are obtained. Finally, some numerical tests to confirm the theoretical results of the stabilized finite-element method are provided.