Adaptive Aggregation-based Domain Decomposition Multigrid for Twisted Mass Fermions

Abstract

The Adaptive Aggregation-based Domain Decomposition Multigrid method (arXiv:1303.1377) is extended for two degenerate flavors of twisted mass fermions. By fine-tuning the parameters we achieve a speed-up of the order of 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 QCD independently of the fermion discretization.

29 pages, 8 figures, 4 tables

References in corpus (18)

• Chirally improving Wilson fermions - I. O(a) improvement
• Lattice QCD with open boundary conditions and twisted-mass reweighting
• Chirally improving Wilson fermions II. Four-quark operators
• Adaptive multigrid algorithm for the lattice Wilson-Dirac operator
• Speeding up Lattice QCD simulations with clover-improved Wilson Fermions
• Nucleon isovector couplings from $N_f=2$ lattice QCD
• Local coherence and deflation of the low quark modes in lattice QCD
• tmLQCD: a program suite to simulate Wilson Twisted mass Lattice QCD
• Stability of lattice QCD simulations and the thermodynamic limit
• On the low fermionic eigenmode dominance in QCD on the lattice
• Solution of the Dirac equation in lattice QCD using a domain decomposition method
• Adaptive Multigrid Algorithm for Lattice QCD
• Deflation acceleration of lattice QCD simulations
• First Physics Results at the Physical Pion Mass from $N_f=2$ Wilson Twisted Mass Fermions at Maximal Twist
• Quenched Scaling of Wilson twisted mass fermions
• Spectrum of quenched twisted mass lattice QCD at maximal twist
• One flavor mass reweighting in lattice QCD
• An adaptive aggregation based domain decomposition multilevel method for the lattice wilson dirac operator: multilevel results

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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 $g-2$
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• Energy Efficiency trends in HPC: what high-energy and astrophysicists need to know
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