Numerical experiments with multilevel subdomain decomposition method.
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Laitinen, E., Lapin, A. V., Pieskä, J. (2003)
Lobachevskii Journal of Mathematics
Jacques Audounet, Jean-Michel Roquejoffre, Hélène Rouzaud (2002)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
This article is devoted to the numerical study of a flame ball model, derived by Joulin, which obeys to a singular integro-differential equation. The numerical scheme that we analyze here, is based upon a one step method, and we are interested in its long-time behaviour. We recover the same dynamics as in the continuous case: quenching, or stabilization of the flame, depending on heat losses, and an energy input parameter.
Jacques Audounet, Jean-Michel Roquejoffre, Hélène Rouzaud (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
This article is devoted to the numerical study of a flame ball model, derived by Joulin, which obeys to a singular integro-differential equation. The numerical scheme that we analyze here, is based upon a one step method, and we are interested in its long-time behaviour. We recover the same dynamics as in the continuous case: quenching, or stabilization of the flame, depending on heat losses, and an energy input parameter.
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