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The smoothing effect of a simultaneous directions parallel method as applied to Poisson problems
Author(s) -
Galo José R.,
Calzada M. Carmen,
Cruz José L.,
Marín Mercedes,
Albarreal I. Ignacio,
FernándezCara Enrique
Publication year - 2006
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.20102
Subject(s) - smoothing , multigrid method , poisson distribution , mathematics , partial derivative , poisson's equation , partial differential equation , mathematical optimization , factor (programming language) , mathematical analysis , computer science , statistics , programming language
Abstract By using local Fourier analysis, a simultaneous directions parallel method, which is a particular instance of the parallel fractional step algorithm, is shown to possess smoothing effects when applied to Poisson problems. The specific smoothing factor is determined and the expected factor values are found to be consistent with those obtained. The simultaneous directions approach is an advantageous alternative to other existing smoothers in the multigrid environment. © 2005 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2006