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 - Modélisation Mathématique et Analyse Numérique (1999)

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

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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 - Modélisation Mathématique et Analyse Numérique 33.5 (1999): 971-987. <http://eudml.org/doc/193961>.

@article{Barrett1999,
author = {Barrett, John W., Blowey, James F.},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {finite element; phase separation; multicomponent alloy; error bound; Cahn-Hillard model},
language = {eng},
number = {5},
pages = {971-987},
publisher = {Dunod},
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/193961},
volume = {33},
year = {1999},
}

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 - Modélisation Mathématique et Analyse Numérique
PY - 1999
PB - Dunod
VL - 33
IS - 5
SP - 971
EP - 987
LA - eng
KW - finite element; phase separation; multicomponent alloy; error bound; Cahn-Hillard model
UR - http://eudml.org/doc/193961
ER -

References

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  1. [1] J.W. Barrett and J-F Blowey, An error bound for the finite element approximation of a model for phase separation of a multi-component alloy. IMA J. Numer. Anal 16 (1996) 257-287. Zbl0849.65069MR1382718
  2. [2] J.W. Barrett and J.F. Blowey, Finite element approximation of a model for phase separation of a multi-component alloy with non-smooth free energy. Numer. Math. 77 (1997) 1-34. Zbl0882.65129MR1464653
  3. [3] J.W. Barrett and J.F. Blowey, Finite element approximation of a model for phase separation of a multi-component alloy with non-smooth free energy and a concentration dependent mobility matrix. M3AS 9 (1999) 627-663. Zbl0936.65120MR1697389
  4. [4] J.F. Blowey and C.M. Elliott, The Cahn-Hilliard gradient theory for phase separation with non-smooth free energy, part II: Numerical analysis. EUT. J. Appl. Math. 3 (1992) 147-179. Zbl0810.35158MR1166255
  5. [5] J. Rulla, Error analysis for implicit approximations to solutions to Cauchy problems. SIAM J. Numer. Anal. 33 (1996) 68-87. Zbl0855.65102MR1377244

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