In this paper, we propose the two-level defect-correction stabilized finite element method based on pressure projection for solving the incompressible Navier–Stokes equations. The new method combines the two-level method and the defect-correction strategy with the stabilized method based on pressure projection. It has the good properties of these three methods, such as high efficiency, good stability and saving the computing time. The stability and convergence of this new method are analyzed. Finally, numerical example confirms our theory analysis.

中文翻译：

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基于压力投影的不可压缩Navier-Stokes方程的两级缺陷修正稳定有限元法

在本文中，我们提出了基于压力投影的两级缺陷校正稳定有限元方法，用于求解不可压缩的 Navier-Stokes 方程。新方法将二级方法和缺陷校正策略与基于压力投影的稳定方法相结合。它具有这三种方法的优点，如效率高、稳定性好、节省计算时间。分析了这种新方法的稳定性和收敛性。最后，数值例子证实了我们的理论分析。