A class of time discrete schemes for a phase–field system of Penrose–Fife type
Weierstrass Institute for Applied Analysis and
Stochastics, Mohrenstrasse 39, 10117 Berlin, Germany. email@example.com.
Revised: 2 April 1999
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.
Mathematics Subject Classification: 65M12 / 35K50 / 80A22 / 35K60 / 35R35 / 65M15
Key words: Phase–field model / Penrose–Fife model / semidiscretization / convergence / error estimates.
© EDP Sciences, SMAI, 1999