A class of time discrete schemes for a phase-field system of Penrose-Fife type

Authors
Klein, O
Citation
O. Klein, A class of time discrete schemes for a phase-field system of Penrose-Fife type, RAIRO-M MOD, 33(6), 1999, pp. 1261-1292
Citations number
31
Categorie Soggetti
Mathematics
Journal title
RAIRO-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE
ISSN journal
0764583X → ACNP
Volume
33
Issue
6
Year of publication
1999
Pages
1261 - 1292
Database
ISI
SICI code
0764-583X(199911/12)33:6<1261:ACOTDS>2.0.ZU;2-N
Abstract
In this paper, a phase field system of Penrose-Fife type with nonconserved order parameter is considered. A class of time-discrete schemes for an init ial-boundary value problem for this phase-field system is presented. In thr ee space dimensions, convergence is proved and an error estimate linear wit h respect to the time-step size is derived. AMS Subject Classification. 65M 12, 35K50, 80A22, 35K60, 35R35, 65M15.