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On Nonlinear Preconditioners in Newton-Krylov-Methods for Unsteady Flows

Birken, Philipp
Jameson, Antony

The application of nonlinear schemes like dual time stepping as preconditioners in matrix-free Newton-Krylov-solvers is considered and analyzed. 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 are demonstrated through numerical results.

Sponsor
The first author was funded by the Deutsche Forschungsgemeinschaft as part of the SFB TRR-30.
Citation
In: Mathematische Schriften Kassel 08, 08 / (2008) , S. ; 
@article{urn:nbn:de:hebis:34-2008102024584,
  author    ={Birken, Philipp and Jameson, Antony},
  title    ={On Nonlinear Preconditioners in Newton-Krylov-Methods for Unsteady Flows},
  copyright  ={https://rightsstatements.org/page/InC/1.0/},
  language ={en},
  year   ={2008}
}