Adaptive aggregation-based domain decomposition multigrid for twisted mass fermions

Constantia Alexandrou, Simone Bacchio, Jacob Finkenrath, Andreas Frommer, Karsten Kahl, and Matthias Rottmann
Phys. Rev. D 94, 114509 – Published 12 December 2016

Abstract

The adaptive aggregation-base domain decomposition multigrid method [A. Frommer et al., SIAM J. Sci. Comput. 36, A1581 (2014)] is extended for two degenerate flavors of twisted mass fermions. By fine-tuning the parameters we achieve a speed-up of the order of a hundred times compared to the conjugate gradient algorithm for the physical value of the pion mass. A thorough analysis of the aggregation parameters is presented, which provides a novel insight into multigrid methods for lattice quantum chromodynamics independently of the fermion discretization.

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  • Received 17 October 2016

DOI:https://doi.org/10.1103/PhysRevD.94.114509

© 2016 American Physical Society

Physics Subject Headings (PhySH)

  1. Research Areas
Nuclear PhysicsParticles & Fields

Authors & Affiliations

Constantia Alexandrou1,2, Simone Bacchio1,3, Jacob Finkenrath2, Andreas Frommer3, Karsten Kahl3, and Matthias Rottmann3

  • 1Department of Physics, University of Cyprus, P.O. Box 20537, 1678 Nicosia, Cyprus
  • 2Computation-based Science and Technology Research Center, The Cyprus Institute, P.O. Box 27456, 1645 Nicosia, Cyprus
  • 3Fakultät für Mathematik und Naturwissenschaften, Bergische Universität Wuppertal, 42119 Wuppertal, Germany

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Issue

Vol. 94, Iss. 11 — 1 December 2016

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