Skip to main content

Asynchronous parallel discontinuous finite element method

  • 2. Computational Science
  • Conference paper
  • First Online:
High-Performance Computing and Networking (HPCN-Europe 1998)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1401))

Included in the following conference series:

  • 255 Accesses

Abstract

We describe a new iterative, asynchronous, parallel algorithm for the solution of partial differential equations, based on discontinuous finite-element methods. We use the domain-decomposition methods to decompose a large problem into a number of smaller problems that can be computed in parallel. These methods facilitate coarse-grain parallelism, which is important for exploiting parallelism efficiently. Numerical experiments that were executed on the MOSIX cluster computing system, show the new algorithm to be robust and highly parallelizable, with an almost linear speedup with respect to the number of processors.

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

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Barak A., La'adan O., Performance of the MOSIX Parallel System for a Cluster of PC's Proc. Int. Conference on High-Performance Computing and Networking (HPCN Europe '97), 624–635, Vienna, April 1997.

    Google Scholar 

  2. Bar-Yoseph, P., Elata D., An Efficient L2 Galerkin Finite Element Method for Multi-Dimensional Nonlinear Hyperbolic System, Int. J. Numer. Methods Eng., 29, 1229–1245, 1990.

    Google Scholar 

  3. Bertsekas, D.P., Tsitsiklis J.N., Parallel and Distributed Computation, Numerical Methods, Prentice-Hall, 1989.

    Google Scholar 

  4. Bey K. S., An hp Adaptive Discontinuous Galerkin Method for Hyperbolic Conservation Laws, Phd Dissertation, University of Texas-Austin, May 1994.

    Google Scholar 

  5. Bjørstad, P., Moe R., Olufsen R., Vainikko E., Parallel Reservoir Simulation Based on Domain Decomposition Techniques, High-Performance Computing and Networking (HPCN Europe '96), 3–11, Brussels, April 1996.

    Google Scholar 

  6. Chan F.T., Mathew T.P., Domain Decomposition Algorithms, Acta Numerica, 61–143, 1994.

    Google Scholar 

  7. Geist G.A., Beguelin A., Dongarra J., Jiang W., Manchek R., Sundream V.S, PVM — Parallel Virtual Machine, MIT Press, Cambridge, MA, 1994.

    Google Scholar 

  8. Lesaint P., Raviart P.A., On a Finite Element Method for Solving the Neutron Transport Equation, Mathematical Aspects of Finite Elements in Partial Differential Equations, C. de Boor (Edt), Academic Press, 89–123, 1974.

    Google Scholar 

  9. Oden J.T., Abani P., Yusheng F., Domain Decomposition for Adaptive hp Finite Element Methods, Proceeding Seventh Int. Conference on Domain Decomposition, 180, 1994.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Peter Sloot Marian Bubak Bob Hertzberger

Rights and permissions

Reprints and permissions

Copyright information

© 1998 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Aharoni, D., Barak, A. (1998). Asynchronous parallel discontinuous finite element method. In: Sloot, P., Bubak, M., Hertzberger, B. (eds) High-Performance Computing and Networking. HPCN-Europe 1998. Lecture Notes in Computer Science, vol 1401. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0037161

Download citation

  • DOI: https://doi.org/10.1007/BFb0037161

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-64443-9

  • Online ISBN: 978-3-540-69783-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics