Iterative performance of various formulations of the SP_N equations

abstract

• 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. 2013 Elsevier Inc.

authors

• Morel, Jim
• Ragusa, Jean

published proceedings

• JOURNAL OF COMPUTATIONAL PHYSICS

author list (cited authors)

• Zhang, Y., Ragusa, J. C., & Morel, J. E.

complete list of authors

• Zhang, Yunhuang||Ragusa, Jean C||Morel, Jim E

publisher

• Elsevier  Publisher

published in

• Journal of Computational Physics  Journal

keywords

• Fourier Analysis
• Iterative Solution Technique
• Spn Equations

Digital Object Identifier (DOI)

• 10.1016/j.jcp.2013.06.009

start page

• 558

end page

• 572

volume

• 252