Algebraic multigrid solver on clusters of CPUs and GPUs

Authors:
Aurel Neic;Manfred Liebmann;Gundolf Haase;Gernot Plank
Affiliations:
Institute for Mathematics and Scientific Computing, University of Graz, Austria;Institute for Mathematics and Scientific Computing, University of Graz, Austria;Institute for Mathematics and Scientific Computing, University of Graz, Austria;Institute for Mathematics and Scientific Computing, University of Graz, Austria
Venue:
PARA'10 Proceedings of the 10th international conference on Applied Parallel and Scientific Computing - Volume 2
Year:
2010

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Abstract

Solvers for elliptic partial differential equations are needed in a wide area of scientific applications. We will present a highly parallel CPU and GPU implementation of a conjugate gradient solver with an algebraic multigrid preconditioner in a package called Parallel Toolbox. The solvers operates on fully unstructured discretizations of the PDE. The algorithmic specialities are investigated with respect to many-core architectures and the code is applied to one current application. Benchmark results of computations on clusters of CPUs and GPUs will be presented. They will show that a linear equation system with 25 million unknowns can be solved in about 1 second.