Finite element approximations of Landau-Ginzburg's equation model for structural phase transitions in shape memory alloys
- Volume: 29, Issue: 6, page 629-655
- ISSN: 0764-583X
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topHoffmann, K.-H., and Jun Zou. "Finite element approximations of Landau-Ginzburg's equation model for structural phase transitions in shape memory alloys." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 29.6 (1995): 629-655. <http://eudml.org/doc/193786>.
@article{Hoffmann1995,
author = {Hoffmann, K.-H., Jun Zou},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {thermomechanical phase transition; shape memory alloys; error bounds; finite element; Landau-Ginzburg model},
language = {eng},
number = {6},
pages = {629-655},
publisher = {Dunod},
title = {Finite element approximations of Landau-Ginzburg's equation model for structural phase transitions in shape memory alloys},
url = {http://eudml.org/doc/193786},
volume = {29},
year = {1995},
}
TY - JOUR
AU - Hoffmann, K.-H.
AU - Jun Zou
TI - Finite element approximations of Landau-Ginzburg's equation model for structural phase transitions in shape memory alloys
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1995
PB - Dunod
VL - 29
IS - 6
SP - 629
EP - 655
LA - eng
KW - thermomechanical phase transition; shape memory alloys; error bounds; finite element; Landau-Ginzburg model
UR - http://eudml.org/doc/193786
ER -
References
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- [3] K.-H. HOFFMANN and JUN ZOU, 1993, The existence and uniqueness of global solutions to a mathematical model for shape memory alloys, Preprint No. 461, DFG-SPP "Anwendungsbezogene Optimierung and Steuerung", Technical University of Munich. Zbl0841.73032MR1360995
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- [8] J. SPREKELS and S. ZHENG, 1989, Global solutions to the equations of a Ginzburg-Landau theory for structural phase transitions in shape memory alloys, Physica, D 39, pp. 59-76. Zbl0696.35145MR1021182
- [9] E. STEIN, 1970, Singular Integrals and Differentiability Properties of Functions, Princeton University Press, Princeton. Zbl0207.13501MR290095
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- [11] G. STRANG, 1972, Approximation in the finite element method, Numer. Math., 19, pp. 81-98. Zbl0221.65174MR305547
- [12] T. TIIHONEN, 1988, A numerical approach to a shape memory model, Preprint No. 98, DFG-SPP "Anwendungsbezogene Optimierung und Steuerung", University of Augsburg.
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