A defect-correction method based on equal-order finite elements for the incompressible flows (II)

Based on stabilized defect-correction method and the stability and convergence of velocities, the property of pressures is emphatically discussed, and the stability and convergence of the method are accordingly proved for the each step. The error estimation results show that the constant in the estimation is independent of the viscosity coefficient but on a reduced viscosity coefficient λ + h , and one step of defect-correction method improves spatial accuracy in the previous step by one power of h. In a general way, combining with the proper timing k, the accuracy is proved to be o(h^m) in m - 1 step.