Preprint
On Nonlinear Preconditioners in Newton-Krylov-Methods for Unsteady Flows
Abstract
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.
Sponsorship
The first author was funded by the Deutsche Forschungsgemeinschaft as part of the SFB TRR-30.Citation
@article{urn:nbn:de:hebis:34-2008102024584,
author={Birken, Philipp and Jameson, Antony},
title={On Nonlinear Preconditioners in Newton-Krylov-Methods for Unsteady Flows},
year={2008}
}
0500 Oax 0501 Text $btxt$2rdacontent 0502 Computermedien $bc$2rdacarrier 1100 2008$n2008 1500 1/eng 2050 ##0##urn:nbn:de:hebis:34-2008102024584 3000 Birken, Philipp 3010 Jameson, Antony 4000 On Nonlinear Preconditioners in Newton-Krylov-Methods for Unsteady Flows / Birken, Philipp 4030 4060 Online-Ressource 4085 ##0##=u http://nbn-resolving.de/urn:nbn:de:hebis:34-2008102024584=x R 4204 \$dPreprint 4170 Mathematische Schriften Kassel ;; 08, 08 7136 ##0##urn:nbn:de:hebis:34-2008102024584
<resource xsi:schemaLocation="http://datacite.org/schema/kernel-2.2 http://schema.datacite.org/meta/kernel-2.2/metadata.xsd"> 2008-10-20T07:49:10Z 2008-10-20T07:49:10Z 2008 urn:nbn:de:hebis:34-2008102024584 http://hdl.handle.net/123456789/2008102024584 The first author was funded by the Deutsche Forschungsgemeinschaft as part of the SFB TRR-30. 165206 bytes application/pdf eng Urheberrechtlich geschützt https://rightsstatements.org/page/InC/1.0/ Unsteady Flows Preconditioning Newton-Krylov 510 On Nonlinear Preconditioners in Newton-Krylov-Methods for Unsteady Flows Preprint 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. open access Birken, Philipp Jameson, Antony Mathematische Schriften Kassel ;; 08, 08 65M55 65M60 65F10 Mathematische Schriften Kassel 08, 08 </resource>
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