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Optimizing Staggered Multigrid for Exascale performance

High Energy Physics - Lattice 2023-04-28 v1

Abstract

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.

Keywords

Cite

@article{arxiv.2212.12559,
  title  = {Optimizing Staggered Multigrid for Exascale performance},
  author = {Venkitesh Ayyar and Richard Brower and M. A. Clark and Mathias Wagner and Evan Weinberg},
  journal= {arXiv preprint arXiv:2212.12559},
  year   = {2023}
}

Comments

Submission to Proceedings of Lattice 2022: the 39th International Symposium on Lattice Field Theory, Bonn, Germany