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MRHS multigrid solver for Wilson-clover fermions

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arxiv 2211.13719 v1 pith:NKXLH2IP submitted 2022-11-24 hep-lat cs.DC

Daniel Richtmann , Nils Meyer , Tilo Wettig This is my paper · ORCID
classification hep-latcs.DC
keywords mrhsmultigridsolverbenchmarksfermionsgpusgridsolving
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abstract

We describe our implementation of a multigrid solver for Wilson-clover fermions, which increases parallelism by solving for multiple right-hand sides (MRHS) simultaneously. The solver is based on Grid and thus runs on all computing architectures supported by the Grid framework. We present detailed benchmarks of the relevant kernels, such as hopping and clover term on the various multigrid levels, intergrid operators, and reductions. The benchmarks were performed on the JUWELS Booster system at J\"ulich Supercomputing Centre, which is based on Nvidia A100 GPUs. For example, solving a $24^3\times128$ lattice on 16 GPUs, the overall speedup obtained solely from MRHS is about 10x.

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  1. 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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