A Generalization of Relaxed Dimensional Factorization Preconditoner for Navier-Stokes Equations

摘要

In this paper we generalize the relaxed dimensional factorization preconditioner for linear systems of saddle point type arising from the numerical solution of the Navier-Stokes equations. The preconditioner is used to accelerate the convergence of the Generalized Minimal Residual method (GMRES) applied to the Oseen problem. This method requires the solution of two linear systems which can be solved inexactly in saddle point system. Numerical experimental results further show the effectiveness of the modified RDF method.