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Design, Tuning and Evaluation of Parallel Multilevel ILU Preconditioners

  • José I. Aliaga
  • Matthias Bollhöfer
  • Alberto F. Martín
  • Enrique S. Quintana-Ortí
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5336)

Abstract

In this paper, we present a parallel multilevel ILU preconditioner implemented with OpenMP. We employ METIS partitioning algorithms to decompose the computation into concurrent tasks, which are then scheduled to threads. Concretely, we combine decompositions which obtain significantly more tasks than processors, and the use of dynamic scheduling strategies in order to reduce the thread’s idle time, which it is shown to be the main source of overhead in our parallel algorithm. Experimental results on a shared-memory platform consisting of 16 processors report remarkable performance for our approach.

Keywords

Sparse linear system incomplete LU factorization parallel algorithm OpenMP shared-memory multiprocessor 

Related conference topics

Parallel and Distributing Computing Numerical Algorithms for CS&E 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • José I. Aliaga
    • 1
  • Matthias Bollhöfer
    • 2
  • Alberto F. Martín
    • 1
  • Enrique S. Quintana-Ortí
    • 1
  1. 1.Depto. de Ingeniería y Ciencia de ComputadoresUniversidad Jaume I12.071–CastellónSpain
  2. 2.Institute of Computational MathematicsTU-BraunschweigBraunschweigGermany

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