Update on a Staggered Multigrid Algorithm in Four Dimensions
A significant obstacle facing the approach to the continuum limit in lattice gauge theory calculations is the phenomena of critical slowing down in the fermion sector. The method of adaptive multigrid ($\alpha$-MG) methods offer a permanent solution to the superlinear growth in the cost of iterative Dirac matrix inversions. An exascale-ready implementation of $\alpha$-MG as a preconditioner is suitable for both the calculation of Dirac propagators for measurements and of force terms in HMC. Each fermion discretization offers unique challenges, and the successful formulation for Wilson-Clover cannot be applied to other discretizations in a black-box fashion. In this talk we will report on progress towards an algorithm for staggered fermions. We will also present benchmarks for an implementation in the QUDA library for GPUs.
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Algorithms and Machines