A class of time discrete schemes for a phase-field system of Penrose-Fife type
- Klein, Olaf
2010 Mathematics Subject Classification
- 65M12 35K50 80A22 35K60 35R35 65M15
- Phase-field model, Penrose-Fife model, semidiscretization, convergence, error estimates
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 is derived. For one scheme, this error estimate is linear with respect to the time-step size.
- M2AN Math. Model. Numer. Anal., 33 (1999), no. 1, pp. 1261-1292