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Optimizing Staggered Multigrid for Exascale performance

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arxiv 2212.12559 v1 pith:6ZKRUOJ3 submitted 2022-12-23 hep-lat

Venkitesh Ayyar , Richard Brower , M.A. Clark , Mathias Wagner , Evan Weinberg This is my paper · ORCID
classification hep-lat
keywords multi-gridperformancestaggeredsolveradaptiveahler-diracalgorithmalgorithms
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Adaptive multi-grid methods have proven very successful in dealing with critical slow down for the Wilson-Dirac solver in lattice gauge theory. Multi-grid algorithms developed for Staggered fermions using the K\"ahler-Dirac preconditioning~\cite{Brower:2018ymy} have shown remarkable success. In this work, we discuss the performance of this staggered multi-grid algorithm in four dimensions. We also demonstrate that offloading some components of a multi-shift solve to a multi-grid solver leads to a significant performance improvement in an existing MILC spectrum workflow on the Summit and Selene supercomputers.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Multigrid low-mode averaging

    hep-lat 2024-12 conditional novelty 6.0 of 10

    A multigrid extension of low-mode averaging keeps the number of Dirac low modes fixed while suppressing stochastic variance on increasingly large lattices.

  2. Improving HISQ propagator solves using deflation

    hep-lat 2025-01 conditional novelty 5.0 of 10

    Deflated CG with 2048 eigenvectors solves HISQ propagators about 10x faster than standard CG on a 144^3 x 288 lattice at the physical light quark mass, excluding eigenvector setup cost.

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