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continuation methods

Mathematical Modelling of Natural Phenomena (1)

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Local Parameterization and the Asymptotic NumericalMethod
A. Taik, H. Mottaqui, B. Braikat, N. Damil
Journal:

Mathematical Modelling of Natural Phenomena / Volume 5 / Issue 7 / 2010

Published online by Cambridge University Press:

26 August 2010, pp. 16-22

Print publication:

2010
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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