An iterative process based on homotopy and perturbation techniques

被引：33

作者：

Mallil, E

Lahmam, H

Damil, N ^{[1
]}

Potier-Ferry, M

机构：

[1] Univ Hassan II Mohammedia, Fac Sci Ben MSik, Lab Calcul Sci Mecan, Casablanca 7955, Morocco

[2] Univ Metz, UMR CNRS 7554, ISGMP, Mecan & Phys Mat Lab, F-57045 Metz 01, France

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2000年 / 190卷 / 13-14期

关键词：

D O I：

10.1016/S0045-7825(00)00198-5

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

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) 701-708). 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 Fade approximants yields very efficient algorithms as compared with classical first order ones. A classical nonlinear elastic shell problem permits us to assess the efficiency of the proposed method. (C) 2000 Elsevier Science B.V. All rights reserved.

引用

页码：1845 / 1858

页数：14

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