A numerical continuation method based on Pade approximants

被引：96

作者：

Elhage-Hussein, A

Potier-Ferry, M

Damil, N ^{[1
]}

机构：

[1] Univ Hassan 2, Fac Sci Ben MSik, Lab Calcul Sci Mecan, Casablanca 7955, Morocco

[2] Univ Metz, Inst Super Genie Mecan & Prod, Mecan & Phys Mat Lab, CNRS,UMR 7554, F-57045 Metz 01, France

来源：

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES | 2000年 / 37卷 / 46-47期

关键词：

asymptotic numerical methods; perturbation technique; Pade approximants; contact; buckling; elastic shells;

D O I：

10.1016/S0020-7683(99)00323-6

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

A continuation algorithm is presented with a new predictor, which is based on a rational representation of the solution path. This algorithm belongs to the class of asymptotic numerical methods that connect perturbation techniques with a discretization principle without the use of a correction process. Several examples from shell buckling and from contact mechanics are analyzed, to assess the efficiency and the reliability of the method. (C) 2000 Elsevier Science Ltd. All rights reserved.

引用

页码：6981 / 7001

页数：21

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