\(S_{2}SA\) preconditioning for the \(S_n\) equations with strictly nonnegative spatial discretization

DOI10.1016/j.jcp.2014.05.022zbMath1352.65097OpenAlexW2072901381MaRDI QIDQ728620

Jean C. Ragusa, Don E. Bruss, Jim E. Morel

Publication date: 20 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2014.05.022

zbMATH Keywords

discrete ordinates methodradiation transportdiscontinuous finite elementsdiffusion synthetic accelerationJacobian-free Newton Krylovmatrix-free Picard Krylovnonlinear Krylov accelerationstrictly nonnegative closure

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Preconditioners for iterative methods (65F08)

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Uses Software

• Anderson
• NKA

Cites Work

• Jacobian-free Newton-Krylov methods: a survey of approaches and applications.
• A non-negative moment-preserving spatial discretization scheme for the linearized Boltzmann transport equation in 1-D and 2-D Cartesian geometries
• Nonlinear Krylov acceleration applied to a discrete ordinates formulation of the \(k\)-eigenvalue problem
• Anderson Acceleration for Fixed-Point Iterations
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Design and Application of a Gradient-Weighted Moving Finite Element Code I: in One Dimension
• Iterative Procedures for Nonlinear Integral Equations