IMPROVING MULTIGRID AND CONVENTIONAL RELAXATION ALGORITHMS FOR PROPAGATORS

Thomas Kalkreuter
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Thomas Kalkreuter: II. Institut für Theoretische Physik der Universität Hamburg, Luruper Chaussee 149, W-2000 Hamburg 50, Germany

International Journal of Modern Physics C (IJMPC), 1992, vol. 03, issue 06, 1323-1332

Abstract: Practical modifications of deterministic multigrid and conventional relaxation algorithms are discussed. New parameters need not be tuned but are determined by the algorithms themselves. One modification can be thought of as “updating on a last layer consisting of a single site”. It eliminates critical slowing down in computations of bosonic and fermionic propagators in a fixed volume. Here critical slowing down means divergence of asymptotic relaxation times as the propagators approach criticality. A remaining volume dependence is weak enough in case of bosons so that conjugate gradient can be outperformed. However, no answer can be given yet if the same is true for staggered fermions on lattices of realizable sizes. Numerical results are presented for propagators of bosons and of staggered fermions in 4-dimensional SU(2) gauge fields.

Keywords: Multigrid; Propagators; Critical Slowing Down (search for similar items in EconPapers)
Date: 1992
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DOI: 10.1142/S0129183192000907

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