Iterative performance of various formulations of the SP(N) equations

Iterative performance of various formulations of the SP(N) equations

In this paper, the Standard, Composite, and Canonical forms of the Simplified P(n) (SP(n)) equations are reviewed and their corresponding iterative properties are compared. The Gauss-Seidel (FLIP), Explicit, and preconditioned Source Iteration iterative schemes have been analyzed for both isotropic...

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Veröffentlicht in:Journal of computational physics 2013-11, Vol.252, p.558-572
Hauptverfasser: Zhang, Yunhuang, Ragusa Jean, C, Morel Jim, E
Format: Artikel
Sprache:eng
Schlagworte:
Canonical forms
Computation
Fourier analysis
Iterative methods
Mathematical analysis
Mathematical models
Scattering
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Zusammenfassung:In this paper, the Standard, Composite, and Canonical forms of the Simplified P(n) (SP(n)) equations are reviewed and their corresponding iterative properties are compared. The Gauss-Seidel (FLIP), Explicit, and preconditioned Source Iteration iterative schemes have been analyzed for both isotropic and highly anisotropic (Fokker-Planck) scattering. The iterative performance of the various SP(N)-forms is assessed using Fourier analysis, corroborated with numerical experiments.
ISSN:0021-9991