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 m 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.