Physics-Based Preconditioning and the Newton-Krylov Method for Non-equilibrium Radiation Diffusion

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Preconditioning techniques for large linear systems: a survey (2002, background): “Also, multigrid preconditioners are often of this kind (see [222] for a recent example).”
Jacobian-free Newton-Krylov methods: a survey of approaches and applications (2004, methodology): “The rst stage is a decoupling stage (similar to ABF [8]) while the second stage, solves separate (scalar) elliptic systems, as promoted in [101, 116].”
The RAGE radiation-hydrodynamic code (2008, background): “Many authors[37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60] have addressed the topic of handling the coupling of energy and radiation at high temperatures.”
Multigrid approaches to non‐linear diffusion problems on unstructured meshes (2001, methodology): “Various radiation-di usion solution algorithms incorporating multigrid techniques have been demonstrated recently, but these generally have employed linear multigrid methods as preconditioners within a Newton-Krylov method [2, 4, 8].”