Krylov Subspace Acceleration of Nonlinear Multigrid with Application to Recirculating Flows

This paper deals with the combination of two solution methods: multigrid and GMRES [SIAM J. Sci. Comput., 14 (1993), pp. 856--869]. The generality and parallelizabilinonlinear PDEs. As the "preconditioner" for a nonlinear Krylov subspace method, we use the full approximation storage (FAS) scheme [Math. Comp., 31 (1977), pp. 333--390], a nonlinear multigrid method. The nonlinear Krylov acceleration is applied also on coarse grids, so that recirculating incompressible flow problems discretized with a higher order upwind scheme can be solved efficiently.