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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.

Classification / Keywords
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}
}