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A Parallel Direct/Iterative Solver Based on a Schur Complement Approach

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2 Author(s)
Gaidamour, J. ; ScAlApplix Project, INRIA Bordeaux - Sud-Ouest, Bordeaux ; Henon, P.

In this paper, we present HIPS (hierarchical iterative parallel solver) a parallel sparse linear solver that combines effectively direct and iterative methods through a Schur complement approach. The corner stone of our method is to use a special decomposition and ordering of the matrix that allows to construct a reduced system and a robust preconditioner at low memory cost. The parallelization scheme we describe is original for this type of solver and provide a natural way to find a good trade-off between memory and convergence. Eventually, we give some results obtained by our solver on large referenced test cases.

Published in:

Computational Science and Engineering, 2008. CSE '08. 11th IEEE International Conference on

Date of Conference:

16-18 July 2008