Two-Level Defect-Correction Stabilized Finite Element Method for the Incompressible Navier–Stokes Equations Based on Pressure Projection

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.