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DOE OSTI · 1776659

Parallel performance of algebraic multigrid domain decomposition

Mitchell, Wayne B.·Strzodka, Robert·Falgout, Robert D.
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Abstract

Algebraic multigrid (AMG) is a widely used scalable solver and preconditioner for large-scale linear systems resulting from the discretization of a wide class of elliptic PDEs. While AMG has optimal computational complexity, the cost of communication has become a significant bottleneck that limits its scalability as processor counts continue to grow on modern machines. This article examines the design, implementation, and parallel performance of a novel algorithm, algebraic multigrid domain decomposition (AMG-DD), designed specifically to limit communication. The goal of AMG-DD is to provide a low-communication alternative to standard AMG V-cycles by trading some additional computational overhead for a significant reduction in communication cost. Numerical results show that AMG-DD achieves superior accuracy per communication cost compared with AMG, and speedup over AMG is demonstrated on a large GPU cluster.

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97 MATHEMATICS AND COMPUTINGalgebraic multigridlow-communication algorithmsparallel performance

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BibTeXRIS

Mitchell, Wayne B., Strzodka, Robert, Falgout, Robert D.. 2020-10-12. Parallel performance of algebraic multigrid domain decomposition. https://doi.org/10.1002/nla.2342

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