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A Sparse Linear System Solver Used in a Distributed and Heterogenous Grid Computing Environment

Christophe Denis (), Raphael Couturier () and Fabienne Jézéquel ()
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Christophe Denis: The Queen’s University of Belfast
Raphael Couturier: Laboratoire d Informatique del Université de Franche-Comté
Fabienne Jézéquel: UPMC Univ Paris 06

A chapter in Parallel Scientific Computing and Optimization, 2009, pp 47-56 from Springer

Abstract: Abstract Many scientific applications need to solve very large sparse linear systems in order to simulate phenomena close to the reality. Grid computing is an answer to the growing demand of computational power. In a grid computing environment, communication times are significant and the bandwidth is variable, therefore frequent synchronizations slow down performances. Thus it is desirable to reduce the number of synchronizations in a parallel direct algorithm. Inspired from multisplitting techniques, the GREMLINS (GRid Efficient Methods for LINear Systems) solver we developed consists of solving several linear problems obtained by splitting. The principle of the balancing algorithm is presented, and experimental results are given.

Keywords: Load Balance; Domain Decomposition; Local Cluster; Relative Gain; Direct Solver (search for similar items in EconPapers)
Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-0-387-09707-7_4

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DOI: 10.1007/978-0-387-09707-7_4

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