Skip to main content

AMDiS - Adaptive Multidimensional Simulations: Parallel Concepts

  • Conference paper
  • 1535 Accesses

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 60))

We extend the parallel adaptive meshing algorithm by [2] to further reduce communication requirements in solving PDEs by parallel algorithms. Implementation details and first results for time dependent problems are given.

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

Buying options

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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. I. Babuska and J. M. Melenk. The partition of unity method. Internat. J. Numer. Methods Engrg., 40:727–758, 1997.

    Article  MATH  MathSciNet  Google Scholar 

  2. R.E. Bank and M. Holst. A new paradigm for parallel adaptive meshing algorithms. SIAM Rev., 45(2):291–323, 2003.

    Article  MATH  MathSciNet  Google Scholar 

  3. M. Holst. Applications of domain decomposition and partition of unity methods in physics and geometry. Proceedings of the Fourteenth International Conference on Domain Decomposition Methods, pages 63–78, 2002.

    Google Scholar 

  4. P. Perona and J. Malik. Detecting and localizing edges composed of steps, peaks and roofs. Technical Report UCB/CSD-90-590, EECS Department, University of California, Berkeley, 1990.

    Google Scholar 

  5. K. Schloegel, G. Karypis, and V. Kumar. Parallel static and dynamic multi-constraint graph partitioning. Concurrency and Computation: Practice and Experience, 14:219–240, 2002.

    Article  MATH  Google Scholar 

  6. A. Schmidt and K.G. Siebert. Design of Adaptive Finite Element Software, volume 42 of LNCSE. Springer, 2005.

    Google Scholar 

  7. S. Vey and A. Voigt. ADMiS: adaptive multidimensional simulations. Comput. Vis. Sci., 10(1):57–67, 2007.

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2008 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Ribalta, A., Stoecker, C., Vey, S., Voigt, A. (2008). AMDiS - Adaptive Multidimensional Simulations: Parallel Concepts. In: Langer, U., Discacciati, M., Keyes, D.E., Widlund, O.B., Zulehner, W. (eds) Domain Decomposition Methods in Science and Engineering XVII. Lecture Notes in Computational Science and Engineering, vol 60. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-75199-1_77

Download citation

Publish with us

Policies and ethics