Linear multifrequency-grey acceleration recast for preconditioned Krylov iterations

DOI10.1016/j.jcp.2007.07.033zbMath1127.65075OpenAlexW2055243819MaRDI QIDQ2462449

T.-Y. Brian Yang, James S. Warsa, Jim E. Morel

Publication date: 30 November 2007

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

Full work available at URL: https://digital.library.unt.edu/ark:/67531/metadc900703/

zbMATH Keywords

convergencenumerical examplespreconditioned Krylov methodslinear multifrequency-grey acceleration techniquethermal radiation diffusion equation

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Initial value problems for second-order parabolic equations (35K15)

Related Items (11)

Efficient smoothed particle radiation hydrodynamics. I: Thermal radiative transfer ⋮ Nonlinear iterative projection methods with multigrid in photon frequency for thermal radiative transfer ⋮ Efficient Multiphysics Coupling for Fast Burst Reactors in Slab Geometry ⋮ Stability analysis of nonlinear two-grid method for multigroup neutron diffusion problems ⋮ A Monte Carlo Thermal Radiative Transfer Solver with Nonlinear Elimination ⋮ A new operator-split Compton scattering method ⋮ Second order time evolution of the multigroup diffusion and \(P_{1}\) equations for radiation transport ⋮ Application of linear multifrequency-grey acceleration to preconditioned Krylov iterations for thermal radiation transport ⋮ Space‐angle‐energy multigrid methods for S_n discretizations of the multi‐energetic Boltzmann equation ⋮ Stability analysis of a multilevel quasidiffusion method for thermal radiative transfer problems ⋮ Multilevel quasidiffusion method with mixed-order time discretization for multigroup thermal radiative transfer problems

Cites Work

• Unnamed Item
• A linear-discontinuous spatial differencing scheme for \(S_ n\) radiative transfer calculations
• Unconditionally stable and robust adjacent-cell diffusive preconditioning of weighted-difference particle transport methods is impossible
• GMRES and the minimal polynomial
• Theory of Inexact Krylov Subspace Methods and Applications to Scientific Computing
• Inexact Matrix-Vector Products in Krylov Methods for Solving Linear Systems: A Relaxation Strategy

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