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- W2014736730 abstract "A new nonlinear solution method is developed and applied to a non-equilibrium radiation diffusion problem. With this new method, Newton-like super-linear convergence is achieved in the nonlinear iteration, without the complexity of forming or inverting the Jacobian from a standard Newton method. The method is a unique combination of an outer Newton-based iteration and and inner conjugate gradient-like (Krylov) iteration. The effects of the Jacobian are probed only through approximate matrix–vector products required in the conjugate gradient-like iteration. The methodology behind the Jacobian-free Newton–Krylov method is given in detail. It is demonstrated that a simple, successive substitution, linearization produces an effective preconditioning matrix for the Krylov method. The efficiencies of different methods are compared and the benefits of converging the nonlinearities within a time step are demonstrated." @default.
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- W2014736730 date "1999-09-01" @default.
- W2014736730 modified "2023-09-26" @default.
- W2014736730 title "An efficient nonlinear solution method for non-equilibrium radiation diffusion" @default.
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- W2014736730 doi "https://doi.org/10.1016/s0022-4073(98)00132-0" @default.
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