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

Klein, Olaf. "A class of time discrete schemes for a phase–field system of Penrose–Fife type." ESAIM: Mathematical Modelling and Numerical Analysis 33.6 (2010): 1261-1292. <http://eudml.org/doc/197578>.

@article{Klein2010,
abstract = { 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. },
author = {Klein, Olaf},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = {Phase–field model; Penrose–Fife model; semidiscretization; convergence; error estimates.; time-discrete schemes; initial-boundary value problem; phase-field system},
language = {eng},
month = {3},
number = {6},
pages = {1261-1292},
publisher = {EDP Sciences},
title = {A class of time discrete schemes for a phase–field system of Penrose–Fife type},
url = {http://eudml.org/doc/197578},
volume = {33},
year = {2010},
}

TY - JOUR
AU - Klein, Olaf
TI - A class of time discrete schemes for a phase–field system of Penrose–Fife type
JO - ESAIM: Mathematical Modelling and Numerical Analysis
DA - 2010/3//
PB - EDP Sciences
VL - 33
IS - 6
SP - 1261
EP - 1292
AB - 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.
LA - eng
KW - Phase–field model; Penrose–Fife model; semidiscretization; convergence; error estimates.; time-discrete schemes; initial-boundary value problem; phase-field system
UR - http://eudml.org/doc/197578
ER -