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

John W. Barrett; James F. Blowey

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

  • Volume: 33, Issue: 5, page 971-987
  • ISSN: 0764-583X

Abstract

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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.

How to cite

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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 -

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