arXiv:2212.12559·v1·High Energy Physics — Lattice
Optimizing Staggered Multigrid for Exascale performance
Venkitesh Ayyar🇺🇸 · Richard Brower🇺🇸 · M.A. Clark🇺🇸 · Mathias Wagner🇺🇸 · Evan Weinberg🇺🇸
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 Kähler-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.
Comments: Submission to Proceedings of Lattice 2022: the 39th International Symposium on Lattice Field Theory, Bonn, Germany