The preconditioned Jacobian-free Newton-Krylov methods for nonequilibrium radiation diffusion equations

DOI10.1016/j.cam.2013.04.014zbMath1291.65289OpenAlexW2078327101MaRDI QIDQ2252685

Qin Li, Rongpei Zhang, Tao Feng, Heng-Bin An, Xi-Jun Yu

Publication date: 23 July 2014

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2013.04.014

zbMATH Keywords

linearizationpreconditioningNewton-Krylov methodsnonequilibrium radiation diffusion

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Iterative numerical methods for linear systems (65F10) Preconditioners for iterative methods (65F08) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Related Items (7)

Monotone finite point method for non-equilibrium radiation diffusion equations ⋮ A New Relaxed Splitting Preconditioner for Multidimensional Multi-Group Radiation Diffusion Equations ⋮ An Algebraic Multigrid-Based Physical Factorization Preconditioner for the Multi-Group Radiation Diffusion Equations in Three Dimensions ⋮ Algebraic Multigrid Block Triangular Preconditioning for Multidimensional Three-Temperature Radiation Diffusion Equations ⋮ Domain Decomposition Preconditioners for the System Generated by Discontinuous Galerkin Discretization of 2D-3T Heat Conduction Equations ⋮ Predictor-corrector nodal integral method for simulation of high Reynolds number fluid flow using larger time steps in Burgers' equation ⋮ Extension of complex step finite difference method to Jacobian-free Newton-Krylov method

Uses Software

• GEARBI

Cites Work

• Unnamed Item
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• On balanced approximations for time integration of multiple time scale systems.
• Numerical analysis of time integration errors for nonequilibrium radiation diffusion
• Preconditioning Strategies for Fully Implicit Radiation Diffusion with Material-Energy Transfer
• Hybrid Krylov Methods for Nonlinear Systems of Equations
• A Multigrid Preconditioned Newton--Krylov Method

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