A parallel two-level linearization method for incompressible flow problems

Based on the domain decomposition and finite element discretization, a parallel two-level linearization method for the stationary incompressible Navier–Stokes equations is proposed and analyzed. The basic idea of the method is to first solve the nonlinear problem by Newton’s iterations of mm times on a coarse grid, and then solve a linearized Oseen problem in parallel on a fine grid to correct the coarse grid solution. The efficiency of the method is illustrated by numerical results.