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Parallel Computational Fluid Dynamics 2008 pp 29–40Cite as

Acceleration of iterative solution of series of systems due to better initial guess

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Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE,volume 74)

Abstract

Efficient choice of the initial guess for the iterative solution of series of systems is considered. The series of systems are typical for unsteady nonlinear fluid flow problems. The history of iterative solution at previous time steps is used for computing a better initial guess. This strategy is applied for two iterative linear system solvers (GCR and GMRES). A reduced model technique is developed for implicitly discretized nonlinear evolution problems. The technique computes a better initial guess for the inexact Newton method. The methods are successfully tested in parallel CFD simulations. The latter approach is suitable for GRID computing as well.

Key words

  • Krylov method
  • Newton method
  • Proper Orthogonal Decomposition
  • client-server architecture
  • grid computing

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Author information

Authors and Affiliations

  1. CNRS, Institut Camille Jordan, University of Lyon, University Lyon 1, F-69622, Villeurbanne Cedex, France

    Damien Tromeur-Dervout

  2. Institute of Numerical Mathematics, Gubkina str. 8, 119333, Moscow, Russia

    Yuri Vassilevski

Authors
  1. Damien Tromeur-Dervout
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  2. Yuri Vassilevski
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Corresponding author

Correspondence to Damien Tromeur-Dervout .

Editor information

Editors and Affiliations

  1. , Institut Camille Jordan, Université Lyon 1 - CNRS, Bd du 11 Novembre 1918 43, Villeurbanne, 69622, France

    Damien Tromeur-Dervout

  2. , Institut für Technische Mechanik, TU Clausthal, Adolph-Roemer-Str. 2A2a, Clausthal-Zellerfeld, 38678, Germany

    Gunther Brenner

  3. Daresbury Laboratory, Daresbury Science & Innovation Campus, Science & Technology Facilities Council, Warrington, WA4 4AD, Cheshire, United Kingdom

    David R. Emerson

  4. INRIA - SAGE, Campus de Beaulieu, Rennes, 35042, France

    Jocelyne Erhel

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Tromeur-Dervout, D., Vassilevski, Y. (2010). Acceleration of iterative solution of series of systems due to better initial guess. In: Tromeur-Dervout, D., Brenner, G., Emerson, D., Erhel, J. (eds) Parallel Computational Fluid Dynamics 2008. Lecture Notes in Computational Science and Engineering, vol 74. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14438-7_3

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