Multigrid approach in shifted linear systems for the non-degenerated twisted mass operator

Abstract

Application of multigrid solvers in shifted linear systems is studied. We focus on accelerating the rational approximation needed for simulating single flavor operators. This is particularly useful, in the case of twisted mass fermions for mass non-degenerate quarks and can be employed to accelerate the $N_f=1+1$ sector of $N_f=2+1+1$ twisted mass fermion simulations. The multigrid solver is accelerated by employing suitable initial guesses. We propose a novel strategy for proposing initial guesses for shifted linear systems based on the Lagrangian interpolation of the previous solutions.

arXiv comment29 pages, 11 figures

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• Pion Transition Form Factor from Twisted-Mass Lattice QCD and the Hadronic Light-by-Light ${\pi }^0$-pole Contribution to the Muon $g-2$
• Kaon radiative leptonic decay rates from lattice QCD simulations at the physical point
• Topological observables and $\theta$ dependence in high temperature QCD from lattice simulations
• Optimizing Staggered Multigrid for Exascale performance
• Hadron spin structure from lattice QCD