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ANM continuation with efficient vectorial Padé approximants
1 : Laboratoire d'Ingénierie et Matériaux LIMAT
* : Auteur correspondant
Faculté des Sciences Ben M'Sik, Université Hassan II de Casablanca, B.P 7955 Sidi Othman -
Maroc
In this work, we investigate numerically an efficient vectorial Padé approximants in the Asymptotic Numerical Method (ANM). These efficient vectorial Padé approximants are deduced from a new matrix generalized definition of vectorial Padé representations. A comparison between these efficient vectorial Padé approximants proposed in this paper and the classical Padé approximants will be presented. Another hand, we propose a new analytical formula of the end step of vectorial Padé approximants. The ability of the proposed continuation will be demonstrated on several examples of post-buckling shells.
