Barrett, John W., and Blowey, James F.. "An optimal error bound for a finite element approximation of a model for phase separation of a multi-component alloy with non-smooth free energy." ESAIM: Mathematical Modelling and Numerical Analysis 33.5 (2010): 971-987. <http://eudml.org/doc/197430>.
@article{Barrett2010,
abstract = {
Using the approach in [5] for analysing
time discretization error and assuming
more regularity on the initial data, we improve on
the error bound derived in [2]
for a fully practical piecewise linear
finite element approximation with a backward Euler time
discretization
of a model for phase separation of a multi-component alloy with
non-smooth free energy.
},
author = {Barrett, John W., Blowey, James F.},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = {Finite elements; error analysis; Cahn-Hilliard;
phase separation.; finite element; phase separation; multicomponent alloy; error bound; Cahn-Hillard model},
language = {eng},
month = {3},
number = {5},
pages = {971-987},
publisher = {EDP Sciences},
title = {An optimal error bound for a finite element approximation of a model for phase separation of a multi-component alloy with non-smooth free energy},
url = {http://eudml.org/doc/197430},
volume = {33},
year = {2010},
}
TY - JOUR
AU - Barrett, John W.
AU - Blowey, James F.
TI - An optimal error bound for a finite element approximation of a model for phase separation of a multi-component alloy with non-smooth free energy
JO - ESAIM: Mathematical Modelling and Numerical Analysis
DA - 2010/3//
PB - EDP Sciences
VL - 33
IS - 5
SP - 971
EP - 987
AB -
Using the approach in [5] for analysing
time discretization error and assuming
more regularity on the initial data, we improve on
the error bound derived in [2]
for a fully practical piecewise linear
finite element approximation with a backward Euler time
discretization
of a model for phase separation of a multi-component alloy with
non-smooth free energy.
LA - eng
KW - Finite elements; error analysis; Cahn-Hilliard;
phase separation.; finite element; phase separation; multicomponent alloy; error bound; Cahn-Hillard model
UR - http://eudml.org/doc/197430
ER -
