Krylov Subspace Acceleration of Nonlinear Multigrid with Application to Recirculating Flows

  • Authors:

  • C. W. Oosterlee;T. Washio

  • Affiliations:

  • -;-

  • Venue:
  • SIAM Journal on Scientific Computing
  • Year:
  • 1999

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Abstract

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 parallelizabili nonlinear 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.