Comparison of performance of iterative methods for singular and nonsingular saddle point linear systems arising from Navier-Stokes equations

Abstract We compare the convergence performance of iterative methods for solving singular and nonsingular linear systems arising from discretization and linearization of the steady-state Navier–Stokes equations. With a combination of analytic and empirical results, we study the effects of singularity and nonsingularity on convergence. We will show that the convergence performance for solving a singular linear system is better than that for solving a nonsingular linear system.