Local Parameterization and the Asymptotic Numerical Method
H. Mottaqui; B. Braikat; N. Damil
Mathematical Modelling of Natural Phenomena (2010)
- Volume: 5, Issue: 7, page 16-22
- ISSN: 0973-5348
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topMottaqui, H., Braikat, B., and Damil, N.. Taik, A., ed. "Local Parameterization and the Asymptotic Numerical Method." Mathematical Modelling of Natural Phenomena 5.7 (2010): 16-22. <http://eudml.org/doc/197618>.
@article{Mottaqui2010,
abstract = {The Asymptotic Numerical Method (ANM) is a family of algorithms, based on computation of
truncated vectorial series, for path following problems [2]. In this paper, we present and
discuss some techniques to define local parameterization [4, 6, 7] in the ANM. We give
some numerical comparisons of pseudo arc-length parameterization and local
parameterization on non-linear elastic shells problems},
author = {Mottaqui, H., Braikat, B., Damil, N.},
editor = {Taik, A.},
journal = {Mathematical Modelling of Natural Phenomena},
keywords = {asymptotic numerical method; continuation methods; local parameterization; parameterization; nonlinear elastic shells},
language = {eng},
month = {8},
number = {7},
pages = {16-22},
publisher = {EDP Sciences},
title = {Local Parameterization and the Asymptotic Numerical Method},
url = {http://eudml.org/doc/197618},
volume = {5},
year = {2010},
}
TY - JOUR
AU - Mottaqui, H.
AU - Braikat, B.
AU - Damil, N.
AU - Taik, A.
TI - Local Parameterization and the Asymptotic Numerical Method
JO - Mathematical Modelling of Natural Phenomena
DA - 2010/8//
PB - EDP Sciences
VL - 5
IS - 7
SP - 16
EP - 22
AB - The Asymptotic Numerical Method (ANM) is a family of algorithms, based on computation of
truncated vectorial series, for path following problems [2]. In this paper, we present and
discuss some techniques to define local parameterization [4, 6, 7] in the ANM. We give
some numerical comparisons of pseudo arc-length parameterization and local
parameterization on non-linear elastic shells problems
LA - eng
KW - asymptotic numerical method; continuation methods; local parameterization; parameterization; nonlinear elastic shells
UR - http://eudml.org/doc/197618
ER -
References
top- B. Cochelin. A path-following technique via an asymptotic-numerical method. Computers Structures, 53 (1994), No. 5, 1181–1192.
- B. Cochelin, N. Damil, M. Potier-Ferry. Méthode asymptotique numérique. Hermès-Lavoisier, Paris, 2007.
- A. Elhage-Hussein, M. Potier-Ferry, N. Damil. A numerical continuation method based on Padé approximants. Int.J. Solids and Structures, 37 (2000), 6981–7001.
- J. J. Gervais, H. Sadiky. A new steplength control for continuation with the asymptotic numerical method. IAM, J. Nomer. Anal., 22 (2000), No. 2, 207–229.
- H. Mottaqui, B. Braikat, N. Damil.Influence de la paramétrisation dans la méthode asymptotique numérique : Application au calcul de structures. Premier congrès Tunisien de mécanique, (2008), 173–174.
- W. C. Rheinboldt, J. V. Burkadt. A Localy parameterized continuation. Acm Transaction on Mathmatical Software, 9 (1983), No. 2, 215–235.
- R. Seydel. World of bifurcation, online collection and tutorials of nonlinear phenomena, () (1999). URIwww.bifurcation.de
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