The projective multigrid technique for a scalar field propagating in a disordered electromagnetic background is formulated in four dimensions. The possible advantages of a multigrid cycle with only a few levels are discussed in the context of four-dimensional systems. Computer simulations for highly disordered fields (near the confinement transition) yield a speedup by a factor of 4 for one level and about 10 for two levels, relative to the ideal of 4 and 16, respectively, for the zero-field case.

MULTIGRID PROPAGATORS IN THE PRESENCE OF DISORDERED U(1) GAUGE-FIELDS

VICARI, ETTORE
1991

Abstract

The projective multigrid technique for a scalar field propagating in a disordered electromagnetic background is formulated in four dimensions. The possible advantages of a multigrid cycle with only a few levels are discussed in the context of four-dimensional systems. Computer simulations for highly disordered fields (near the confinement transition) yield a speedup by a factor of 4 for one level and about 10 for two levels, relative to the ideal of 4 and 16, respectively, for the zero-field case.
Brower, Rc; Moriarty, Kjm; Rebbi, C; Vicari, Ettore
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11568/16568
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