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An iterative process based on homotopy and perturbation techniques

โœ Scribed by E. Mallil; H. Lahmam; N. Damil; M. Potier-Ferry

Book ID
104266637
Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
245 KB
Volume
190
Category
Article
ISSN
0045-7825

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โœฆ Synopsis

In this paper, we discuss high order iterative methods whose principle has been presented recently (N. Damil, M. Potier-Ferry, A. Najah, R. Chari, R. Lahmam, Communications in Numerical Methods in Engineering 15 (1999) 701ยฑ708). These algorithms are optimised by appropriate choices of the homotopy transformation, of the perturbation technique and of the strategy of control. Especially, the use of Pad e approximants yields very ecient algorithms as compared with classical ยฎrst order ones. A classical nonlinear elastic shell problem permits us to assess the eciency of the proposed method.

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