A Fault-Tolerant Parallel Algorithm for Iterative Solution of the Laplace Equation

  • Authors:
  • Amber Roy-Chowdhury;Prithviraj Banerjee

  • Affiliations:
  • University of Illinois, USA;University of Illinois, USA

  • Venue:
  • ICPP '93 Proceedings of the 1993 International Conference on Parallel Processing - Volume 03
  • Year:
  • 1993

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Abstract

Algorithm based fault tolerance is an inexpensive method of achieving fault tolerance without requiring any hardware modifications. Algorithm-based schemes have been proposed for a wide variety of numerical applications. However, for a particular class of numerical applications, namely those involving the iterative solution of linear systems, there exist almost no fault-tolerant algorithms in the literature. In this paper, we describe a fault-tolerant version of a parallel algorithm for iteratively solving the Laplace equation over a grid.