Skip to main content

Use of the multigrid method for laplacian problems in three dimensions

  • Part II: Specific Contributions
  • Conference paper
  • First Online:
Multigrid Methods

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 960))

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 54.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 69.95
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. Atkinson, K.E.: Iterative variants of the Nyström method for the numerical solution of integral equations, Numer. Math. 22, 17–31 (1973).

    Article  MathSciNet  MATH  Google Scholar 

  2. Brakhage, H.: Uber die numerische Behandlung von Integralgleichungen nach der Quadraturformelmethode, Numer. Math. 2, 183–196 (1960).

    Article  MathSciNet  MATH  Google Scholar 

  3. Brandt, A.: Multi-level adaptive solutions to boundary value problems, Math. Comp. 31, 333–390 (1977).

    Article  MathSciNet  MATH  Google Scholar 

  4. Courant, R. and Hilbert, D.: Methods of mathematical physics, vol. II, New York-London-Sydney (1966).

    Google Scholar 

  5. Günter, N.M.: Die Potentialtheorie und ihre Anwendung auf Grundaufgaben der mathematischen Physic, Leipzig (1957).

    Google Scholar 

  6. Hackbusch, W.: On the multi-grid method applied to difference equations, Computing 20, 291–306 (1978).

    Article  MathSciNet  MATH  Google Scholar 

  7. Hackbusch, W.: On the convergence of multi-grid iterations, Beiträge Numer. Math. 9, 213–239 (1981).

    MATH  Google Scholar 

  8. Hackbusch, W.: Die schnelle Auflösung der Fredholmschen Integralgleichung zweiter Art, Beiträge Numer. Math. 9, 47–62 (1981).

    MATH  Google Scholar 

  9. Hemker, P.W. and Schippers, H.: Multiple grid methods for the solution of Fredholm integral equations of the second kind, Math. Comp. 36, 215–232 (1981).

    Article  MathSciNet  MATH  Google Scholar 

  10. Hess, J.L. and Smith, A.M.O.: Calculation of potential flow about arbitrary bodies, Progress in Aeronautical Sciences 8, 1–138, New York (1966).

    Article  MATH  Google Scholar 

  11. Hess, J.L.: Review of integral equation techniques for solving potential flow problems with emphasis on the surface-source method, Comp. Meth. in Appl. Mech. and Eng. 5, 145–196 (1975).

    Article  MATH  Google Scholar 

  12. Nicolaides, R.A.: On multigrid convergence in the indefinite case, Math. Comp. 32, 1082–1086 (1978).

    Article  MathSciNet  MATH  Google Scholar 

  13. Riesz, F. and Sz.-Nagy, B.: Leçons d’analyse fonctionelle, Budapest (1972).

    Google Scholar 

  14. Schippers, H.: Application of multigrid methods for integral equations to two problems from fluid mechanics, MC Report, Math. Centrum, Amsterdam (1981).

    MATH  Google Scholar 

  15. Wesseling, P.: A convergence proof for a multiple grid method, Report NA-21, Dept. of Math., Univ. of Technology, Delft (1978).

    Google Scholar 

  16. Wolff, H.: Multigrid method for the calculation of potential flow around 3-D bodies, MC Report, Math. Centrum, Amsterdam (1981).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

W. Hackbusch U. Trottenberg

Rights and permissions

Reprints and permissions

Copyright information

© 1982 Springer-Verlag

About this paper

Cite this paper

Nowak, Z.P. (1982). Use of the multigrid method for laplacian problems in three dimensions. In: Hackbusch, W., Trottenberg, U. (eds) Multigrid Methods. Lecture Notes in Mathematics, vol 960. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0069945

Download citation

  • DOI: https://doi.org/10.1007/BFb0069945

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11955-5

  • Online ISBN: 978-3-540-39544-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics