Skip to main content

A Parallel Robust Multigrid Algorithm Based on Semi-coarsening

  • Conference paper
  • First Online:
Recent Advances in Parallel Virtual Machine and Message Passing Interface (EuroPVM/MPI 1999)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1697))

  • 435 Accesses

Abstract

This paper compares two common approaches to achieve robustness in the parallel multigrid resolution of anisotropic operators on structured grids: alternating plane smoothers with full coarsening and plane smoothers combined with semicoarsening. Both, numerical and architectural properties are compared. A parallel implementation based on MPI is studied in a realistic way by considering the exploitation of the cache memory and the negative effect that the parallelization has on the convergence properties of the methods.

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 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
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. A. Brandt, Multigrid techniques: 1984 guide with applications to fluid dynamics, Tech. Rep. GMD-Studien 85, May 1984.

    Google Scholar 

  2. J. E. Deny, S. F. McCormick, J. Ruge, T. Russell, and S. Schaffer, Multigrid-methods for three-dimensional petroleum reservoir simulation, in Tenth SPE Symposium on Reservoir Simulation, february 1989.

    Google Scholar 

  3. D. Espadas, M. Prieto, I. M. Llorente, and F. Tirado, Parallel resolution of alternating-line processes by means of pipelined techniques, in Proceedings of the 7th. Euromicro Workshop on Parallel and Distributed Systems, IEEE Computer Society Press, Febraury 1999, pp. 289–296.

    Google Scholar 

  4. Krechel, Plum, and StÜben, Parallelization and vectorization aspects of the solution of tridiagonal linear systems, Parallel Comput., 14 (1990), pp. 31–49.

    Article  MATH  MathSciNet  Google Scholar 

  5. I. M. Llorente and N. D. Melson, Robust multigrid smoothers for three dimensional elliptic equations with strong anisotropies, Tech. Rep. 98-37, ICASE, 1998.

    Google Scholar 

  6. I. M. Llorente and F. Tirado, Relationships between efficiency and execution time of full multigrid methods on parallel computers, IEEE Trans. on Parallel and Distributed Systems, 8 (1997), pp. 562–573.

    Article  Google Scholar 

  7. M. Prieto, I. Llorente, and F. Tirado, Partitioning regular domains on modern parallel computers, in Proceedings of the 3th International Meeting on Vector and Parallel Processing, J.M. L.M. Palma, J. Dongarra, and V. Hernández, eds., 1999, pp. 411–424.

    Google Scholar 

  8. P. Wesseling, An Introduction to Multigrid Methods, John Wiley & Sons, New York, 1992.

    MATH  Google Scholar 

  9. D. Xie and L. R. Scott, The parallel u-cycle multigrid method, in Proceedings of the 8th Copper Mountain Conference on Multigrid Methods, 1996.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1999 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Prieto, M., Santiago, R., Llorente, I.M., Tirado, F. (1999). A Parallel Robust Multigrid Algorithm Based on Semi-coarsening. In: Dongarra, J., Luque, E., Margalef, T. (eds) Recent Advances in Parallel Virtual Machine and Message Passing Interface. EuroPVM/MPI 1999. Lecture Notes in Computer Science, vol 1697. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-48158-3_38

Download citation

  • DOI: https://doi.org/10.1007/3-540-48158-3_38

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-66549-6

  • Online ISBN: 978-3-540-48158-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics