PARALLEL-TRANSPORTED MULTIGRID BEATS CONJUGATE GRADIENT

S. Solomon and P.G. Lauwers
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S. Solomon: Racah Institute of Physics, Hebrew University of Jerusalem, Jerusalem, 91904, Israel
P.G. Lauwers: Physikalisches Insitut der Universität Bonn, Nußallee 12, D-5300 Bonn 1, Germany

International Journal of Modern Physics C (IJMPC), 1992, vol. 03, issue 01, 149-160

Abstract: The convergence rates for inverting the Dirac matrix in the SU(2) gauge theory on a square two-dimensional lattice are compared for different lattice sizes in the physical region. The Parallel-Transported Multigrid algorithm (PTMG) turns out to be superior to the Conjugate-Gradient (CG) approach. As the lattice sizeLincreases (together with the correlation length ξ) the PTMG becomes more and more efficient. On a256×256lattice with the bare quark massmbare=0.0005andξ=20, the PTMG is at least ten times faster than the CG. It seems reasonable to expect similar results in four dimensions.

Keywords: multigrid methods; dynamical fermions; lattice gauge theories; inversion Dirac operator (search for similar items in EconPapers)
Date: 1992
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DOI: 10.1142/S0129183192000117

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