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Local Parameterization and the Asymptotic NumericalMethod

Published online by Cambridge University Press:  26 August 2010

A. Taik ,
H. Mottaqui ,
B. Braikat  and
N. Damil
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Abstract

The Asymptotic Numerical Method (ANM) is a family of algorithms, based on computation oftruncated vectorial series, for path following problems [2]. In this paper, we present anddiscuss some techniques to define local parameterization [4, 6, 7] in the ANM. We givesome numerical comparisons of pseudo arc-length parameterization and localparameterization on non-linear elastic shells problems

Keywords

asymptotic numerical methodcontinuation methodslocal parameterization
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 5 , Issue 7: JANO9 – The 9thInternational Conference on Numerical Analysis and Optimization , 2010 , pp. 16 - 22
Copyright
© EDP Sciences, 2010

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References

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