Skip to main content
SpringerLink
Log in

On the combination of the multigrid method and conjugate gradients

  • Conference paper
  • First Online:
Multigrid Methods II

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1228))

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 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 46.00
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. O. Axelsson and V.A. Barker. Finite Element Solution of Boundary Value Problems. Theory and Computation. Academic Press 1984

    Google Scholar 

  2. R.E. Bank and C.C. Douglas. Sharp estimates for multi-grid rates of convergence with general smoothing and acceleration. SIAM J. Numer.Anal. 22, 617–633 (1985)

    Article  MathSciNet  MATH  Google Scholar 

  3. A. Behle and P.A. Forsyth,Jr. Multigrid solution of three dimensional problems with discontinuous coefficients. Appl.Math.Comp. 13, 229–240 (1983).

    Article  MathSciNet  Google Scholar 

  4. D. Braess and P. Peisker. On the numerical solution of the biharmonic equation and the role of squaring matrices for preconditioning (submitted).

    Google Scholar 

  5. G. Brand. Multigrid methods in finite element analysis of plane elastic structures (in prep., augmented by private communications).

    Google Scholar 

  6. G. Duvaut and J.L. Lions. Inequalities in Mechanics and Physics. Springer, Berlin-Heidelberg-New York 1976

    Book  MATH  Google Scholar 

  7. I. Gustafsson. A preconditioned iterative method for the solution of the biharmonic problem. IMA J.Numer.Anal. 4, 55–67 (1984)

    Article  MathSciNet  MATH  Google Scholar 

  8. W. Hackbusch. Multi-Grid Methods and Applications. Springer, Berlin-Heidelberg-New York-Tokyo 1985

    Book  MATH  Google Scholar 

  9. R. Kettler. Analysis and comparison of relaxation schemes in robust multigrid and preconditioned conjugate gradient methods. In "Multigrid Methods" (W. Hackbusch and U. Trottenberg, eds.) Springer, Berlin-Heidelberg-New York 1982

    Google Scholar 

  10. H.R. Schwarz. Methode der Finiten Elemente. Teubner 1984

    Google Scholar 

  11. J. Stoer. Solution of large linear systems of equations by conjugate gradient type methods. In "Mathematical Programming: The State of the Art", pp.540–565. Springer, Berlin-New York 1983

    Chapter  Google Scholar 

  12. R. Stüben and U. Trottenberg. Multigrid methods: Fundamental algorithms, model problem analysis and applications. In "Multigrid Methods" (W. Hackbusch and U. Trottenberg, eds.) Springer, Berlin-Heidelberg-New York 1982

    Google Scholar 

  13. R. Verfürth. A combined conjugate gradient-multigrid algorithm for the numerical solution of the Stokes problem. IMA J.Numer. Anal. 4, 441–455 (1984)

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Fakultät für Mathematik, Ruhr-Universität, D-4630, Bochum, Germany

    Dietrich Braess

Authors
  1. Dietrich Braess
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Wolfgang Hackbusch Ulrich Trottenberg

Rights and permissions

Reprints and permissions

Copyright information

© 1986 Springer-Verlag

About this paper

Cite this paper

Braess, D. (1986). On the combination of the multigrid method and conjugate gradients. In: Hackbusch, W., Trottenberg, U. (eds) Multigrid Methods II. Lecture Notes in Mathematics, vol 1228. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072641

Download citation

  • DOI: https://doi.org/10.1007/BFb0072641

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17198-0

  • Online ISBN: 978-3-540-47372-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation