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Optimizing Staggered Multigrid for Exascale performance

Venkitesh AyyarRichard BrowerM.A. ClarkMathias WagnerEvan Weinberg
Dec 2022
摘要
Adaptive multi-grid methods have proven very successful in dealing withcritical slow down for the Wilson-Dirac solver in lattice gauge theory.Multi-grid algorithms developed for Staggered fermions using the K\"ahler-Diracpreconditioning~\cite{Brower:2018ymy} have shown remarkable success. In thiswork, we discuss the performance of this staggered multi-grid algorithm in fourdimensions. We also demonstrate that offloading some components of amulti-shift solve to a multi-grid solver leads to a significant performanceimprovement in an existing MILC spectrum workflow on the Summit and Selenesupercomputers.
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