Angular Multigrid Preconditioner for Krylov-Based Solution Techniques Applied to theSnEquations with Highly Forward-Peaked Scattering

DOI10.1080/00411450.2012.672944zbMath1273.82069OpenAlexW2092862307MaRDI QIDQ5299737

Bruno Turcksin, Jean C. Ragusa, Jim E. Morel

Publication date: 21 June 2013

Published in: Transport Theory and Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00411450.2012.672944

zbMATH Keywords

highly forward-peaked scattering\(S_n\) equationangular multigrid methodpre-conditioned Krylov techniques

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Transport processes in time-dependent statistical mechanics (82C70) Preconditioners for iterative methods (65F08) PDEs in connection with statistical mechanics (35Q82)

Related Items (6)

Modified Fokker-Planck Acceleration for Forward-Peaked Transport Problems in Slab Geometry ⋮ Iterative performance of various formulations of the \(SP_N\) equations ⋮ A discontinuous Galerkin method for the mono-energetic Fokker-Planck equation based on a spherical interior penalty formulation ⋮ An angular multigrid preconditioner for the radiation transport equation with Fokker-Planck scattering ⋮ A Highly Parallel Multilevel Newton--Krylov--Schwarz Method with Subspace-Based Coarsening and Partition-Based Balancing for the Multigroup Neutron Transport Equation on Three-Dimensional Unstructured Meshes ⋮ Discontinuous diffusion synthetic acceleration for \(S_n\) transport on 2D arbitrary polygonal meshes

Cites Work

• Unnamed Item
• Standard and goal-oriented adaptive mesh refinement applied to radiation transport on 2D unstructured triangular meshes
• GMRES and the minimal polynomial

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