Convergence and stability of two-level penalty mixed finite element method for stationary Navier-Stokes equations

作者:Pengzhan HUANG;Yinnian HE;Xinlong FENG 刊名:中国数学前沿:英文版 上传者:唐克义

【摘要】The two-level penalty mixed finite element method for the stationary Navier-Stokes equations based on Taylor-Hood element is considered in this paper. Two algorithms are proposed and analyzed. Moreover, the optimal stability analysis and error estimate for these two algorithms are provided. Finally, the numerical tests confirm the theoretical results of the presented algorithms.

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