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Parallel Implementations of Multigrid Methods (1993) [5 citations — 0 self]

by Linda Stals ,  In D. Stewart ,  H. Gardner ,  D. Singleton
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Abstract:

this paper is to show that this is not true, in fact even the standard multigrid methods can be used as fairly efficient parallel algorithms. The paper is divided into two sections. The first section introduces the notation by defining the standard multigrid method, MG, and the full multigrid method, FMG. The second section looks at the parallel implementation of the standard multigrid methods. It discusses how the methods can be implemented on a parallel machine and presents some results that I have obtained on the AP1000.

Citations

364 A Multigrid Tutorial – BRIGGS, HENSON, et al. - 2000
80 Highly Parallel Computing – Almasi, Gottlieb - 1989
25 Multigrid algorithms on the hypercube multiprocessor – Chan, Saad - 1986
9 Design and Implementation of Parallel Multigrid Algorithms – Chan, Tuminaro - 1987
4 Multigrid methods on a hypercube – Briggs, Hart, et al. - 1988
3 Parallel networks for multigrid algorithms: Architecture and complexity – Chan, Schreiber - 1985