Skip to main content
SpringerLink
Log in

Analysis of a Non-Standard Multigrid Preconditioner by Spectral Portrait Computation

  • Conference paper
Book cover Multigrid Methods VI

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 14))

  • 415 Accesses

Abstract

The robustness of a non-standard multigrid method used as a preconditioner is analysed by spectral portrait computation on two applications in Computational Fluid Dynamics.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. E. Anderson, Z. Bai, C. Bishof, J. Demmel, J. Dongarra, J. Du Croz, A. Greenbaum, S. Hammarling, A. McKenney, S. Ostrouchov, D. Sorensen: LAPACK User’s guide. SIAM Philadelphia (1992)

    Google Scholar 

  2. B. Bara, K. Nandakumar, J.H. Masliyah: An experimental and numerical study of the Dean problem: flow development towards two-dimensional multiple solutions. J. Fluid. Mech. 244 (1992) 339–376

    Article  Google Scholar 

  3. F. Chaitin-Chatelin, V. Frayssé: Lectures on finite precision computations. SIAM Philadelphia (1996)

    Google Scholar 

  4. D.R. Fokkema, G.L.G. Sleijpen, H.A. van der Vorst: Jacobi-Davidson style QR and QZ algorithms for the reduction of matrix pencils. SIAM J. Sci. Comput. 20–1 (1998) 94–125

    Google Scholar 

  5. O. Marques, V. Toumazou: Spectral portrait computation by a Lanczos method (Augmented Matrix version). CERFACS Technical Report TR/PA/95/02 (1995)

    Google Scholar 

  6. C.W. Oosterlee: The convergence of parallel multiblock multigrid methods. Appl. Num. Math. 19 (1995) 115–128

    Article  MathSciNet  MATH  Google Scholar 

  7. C.W. Oosterlee, T. Washio: An evaluation of parallel multigrid as a solver and a preconditioner for singular perturbed problems. SIAM J. Sci. Comput. 19–1 (1998) 87–110

    MathSciNet  Google Scholar 

  8. J. Piquet, X. Vasseur: A non-standard multigrid method with flexible multiple semicoarsening for the numerical solution of the pressure equation in a NavierStokes solver. submitted to Numerical Algorithms (1999)

    Google Scholar 

  9. L.N. Trefethen: Computation of pseudospectra. Acta Numerica 8 (1999) 247295

    Google Scholar 

  10. T. Washio, C.W. Oosterlee: Flexible multiple semicoarsening for three-dimensional singularly perturbed problems. SIAM J. Sci. Comput. 19–5 (1998) 1646–1666

    MathSciNet  Google Scholar 

  11. T. Washio, C.W. Oosterlee: Krylov subspace acceleration for nonlinear multi-grid schemes. Electronic Transactions on Numerical Analysis 6 (1998) 271–290

    MathSciNet  Google Scholar 

  12. P. Wesseling: An introduction to multigrid methods. Wiley Chichester (1992)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Laboratoire d’Informatique pour la Mécanique et les Sciences de l’Ingénieur, LIMSI-CNRS, UPR 3251, B.P. 133, F-91403, Orsay Cedex, France

    Xavier Vasseur

Authors
  1. Xavier Vasseur
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Department of Flow, Heat and Combustion Mechanics, University of Gent, Sint-Pietersnieuwstraat 41, 9000, Gent, Belgium

    Erik Dick , Kris Riemslagh  & Jan Vierendeels ,  & 

Rights and permissions

Reprints and permissions

Copyright information

© 2000 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Vasseur, X. (2000). Analysis of a Non-Standard Multigrid Preconditioner by Spectral Portrait Computation. In: Dick, E., Riemslagh, K., Vierendeels, J. (eds) Multigrid Methods VI. Lecture Notes in Computational Science and Engineering, vol 14. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-58312-4_34

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-58312-4_34

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-67157-2

  • Online ISBN: 978-3-642-58312-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation