[go: up one dir, main page]
More Web Proxy on the site http://driver.im/
Skip to main content

Parallelization of Large Scale Adaptive Finite Element Computations

  • Conference paper
Parallel Processing and Applied Mathematics (PPAM 2003)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 3019))

  • 525 Accesses

Abstract

The paper discusses general principles for parallelization of finite element codes and presents a model architecture for computational kernels of parallel adaptive programs. The model is based on message passing and domain decomposition. Parallel adaptivity, load balancing and multi-level (multigrid) solvers for systems of linear equations are included into the model. Numerical examples, computed using a prototype implementation of the proposed architecture, illustrate capabilities of the approach.

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

Access this chapter

Subscribe and save

Springer+ Basic
£29.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
GBP 19.95
Price includes VAT (United Kingdom)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
GBP 71.50
Price includes VAT (United Kingdom)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
GBP 89.99
Price includes VAT (United Kingdom)
  • 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.

Similar content being viewed by others

References

  1. Engineering with Computers 15 (1999)

    Google Scholar 

  2. Langtangen, H.P., Bruaset, A.M., Quak, E. (eds.): Advances in software tools for scientific computing. Springer, Berlin (2000)

    MATH  Google Scholar 

  3. Bastian, P., Birken, K., Johannsen, K., Lang, S., Neuss, N., Rentz-Reichert, H., Wieners, C.: Ug - a flexible software toolbox for solving partial differential equations. Computing and Visualization in Science 1(1), 27–40 (1997)

    Article  MATH  Google Scholar 

  4. Beall, M.W., Shephard, M.S.: An object-oriented framework for reliable numerical simulations. Engineering with Computers 15, 61–72 (1999)

    Article  Google Scholar 

  5. Płażek, J., Banaś, K., Kitowski, J.: Comparison of message passing and shared memory implementations of the GMRES method on MIMD computers. Scientific Programming 9, 195–209 (2001)

    Google Scholar 

  6. Remacle, J.-F., Karamete, B.K., Shephard, M.S.: Algorithm Oriented Mesh Database, Report 5, SCOREC (2000)

    Google Scholar 

  7. Oden, J.T., Babuska, I., Baumann, C.E.: A discontinous hp finite element method for diffusion problems. Journal of Computational Physics 146, 491–519 (1998)

    Article  MATH  MathSciNet  Google Scholar 

  8. Banaś, K., Wheeler, M.F.: Preconditioning GMRES for discontinuous Galerkin approximations, to appear in Computer Assisted Mechanics and Engineering Science

    Google Scholar 

  9. Lasser, C., Toselli, A.: Overlapping preconditioners for discontinuous Galerkin approximations of second order problems. In: Debit, N., et al. (eds.) Proceedings of the XIIIth International Conference on Domain Decomposition Methods, Lyon, October 2000. DDM.org (2001)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2004 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Banaś, K. (2004). Parallelization of Large Scale Adaptive Finite Element Computations. In: Wyrzykowski, R., Dongarra, J., Paprzycki, M., Waśniewski, J. (eds) Parallel Processing and Applied Mathematics. PPAM 2003. Lecture Notes in Computer Science, vol 3019. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24669-5_56

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-24669-5_56

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-21946-0

  • Online ISBN: 978-3-540-24669-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics