A new defect-correction method for the stationary Navier-Stokes equations based on local Gauss integration

摘要

A new defect-correction method for the stationary Navier-Stokes equations based on local Gauss integration is considered in this paper. In both defect step and correction step, a locally stabilized technique based on the Gaussian quadrature rule is used. Moreover, stability and convergence of the presented method are deduced. Finally, we provide some numerical experiments to show good stability and effectiveness properties of the presented method.