A numerical continuation method based on Pade approximants

Authors
Elhage-Hussein, A Potier-Ferry, M Damil, N
Citation
A. Elhage-hussein et al., A numerical continuation method based on Pade approximants, INT J SOL S, 37(46-47), 2000, pp. 6981-7001
Citations number
32
Categorie Soggetti
Mechanical Engineering
Journal title
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
ISSN journal
00207683 → ACNP
Volume
37
Issue
46-47
Year of publication
2000
Pages
6981 - 7001
Database
ISI
SICI code
0020-7683(200011)37:46-47<6981:ANCMBO>2.0.ZU;2-J
Abstract
A continuation algorithm is presented with a new predictor, which is based on a rational representation of the solution path. This algorithm belongs t o the class of asymptotic numerical methods that connect perturbation techn iques with a discretization principle without the use of a correction proce ss. Several examples from shell buckling and from contact mechanics are ana lyzed, to assess the efficiency and the reliability of the method. (C) 2000 Elsevier Science Ltd. All rights reserved.