A class of time discrete schemes for a phase–field system of Penrose–Fife type
Olaf Klein (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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In this paper, a phase field system of Penrose–Fife type with non–conserved order parameter is considered. A class of time–discrete schemes for an initial–boundary value problem for this phase–field system is presented. In three space dimensions, convergence is proved and an error estimate linear with respect to the time–step size is derived.