Nonlinear Krylov acceleration applied to a discrete ordinates formulation of the k-eigenvalue problem

JOURNAL OF COMPUTATIONAL PHYSICS

卷:238

Article

Calef, Matthew T.¹  Fichtl, Erin D.¹  Warsa, James S.¹  Berndt, Markus¹  Carlson, Neil N.¹ 

[1] Los Alamos Natl Lab, Los Alamos, NM 87545 USA

关键词: Anderson mixing;    Boltzmann equation;    Boltzmann k-eigenvalue problem;    Broyden;    JFNK;   

DOI  :  10.1016/j.jcp.2012.12.024

来源: Elsevier

【 摘 要 】

We compare a variant of Anderson Mixing with the Jacobian-Free Newton-Krylov and Broyden methods applied to an instance of the k-eigenvalue formulation of the linear Boltzmann transport equation. We present evidence that one variant of Anderson Mixing finds solutions in the fewest number of iterations. We examine and strengthen theoretical results of Anderson Mixing applied to linear problems. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

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