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An adaptive aggregation based domain decomposition multilevel method for the lattice wilson dirac operator: multilevel results

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arxiv 1307.6101 v1 pith:NCUVEZ5U submitted 2013-07-23 hep-lat

A. Frommer , K. Kahl , S. Krieg , B. Leder , M. Rottmann This is my paper · ORCID
classification hep-lat
keywords methodmultileveldiracfactorlatticeresultsspenttwo-level
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In lattice QCD computations a substantial amount of work is spent in solving linear systems arising in Wilson's discretization of the Dirac equations. We show first numerical results of the extension of the two-level DD-\alpha AMG method to a true multilevel method based on our parallel MPI-C implementation. Using additional levels pays off, allowing to cut down the core minutes spent on one system solve by a factor of approximately 700 compared to standard Krylov subspace methods and yielding another speed-up of a factor of 1.7 over the two-level approach.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. A first look at Structured-Multiscale Algebraic Multigrid for Lattice Field Theory

    hep-lat 2026-08 conditional novelty 5.0 of 10

    A first benchmark shows Structured-Multiscale Algebraic Multigrid, used algebraically, matches a state-of-the-art adaptive multigrid in FLOPs near the chiral limit in the Schwinger model while requiring less tuning.

  2. Performance of Low Mode Averaging on Twisted-Mass Fermion Ensembles at the physical pion mass point

    hep-lat 2026-06 unverdicted novelty 4.0 of 10

    Numerical tests show low-mode averaging reduces noise in light meson and baryon observables on physical-pion twisted-mass ensembles, yielding renormalized chiral condensate 269.5(4.5) MeV.

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