On nonlinear preconditioners in Newton–Krylov methods for unsteady flows

نویسندگان

  • Philipp Birken
  • Antony Jameson
چکیده

The application of nonlinear schemes like dual time stepping as preconditioners in matrix-free Newton– Krylov-solvers is considered and analyzed, with a special emphasis on unsteady viscous flows. We provide a novel formulation of the left preconditioned operator that says it is in fact linear in the matrix-free sense, but changes the Newton scheme. This allows to get some insight in the convergence properties of these schemes, which is demonstrated through numerical results. Copyright q 2009 John Wiley & Sons, Ltd.

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تاریخ انتشار 2009