An iterative process based on homotopy and perturbation techniques
作者： E. Mallil , H. Lahmam , N. Damil , M. Potier-Ferry
DOI: 10.1016/S0045-7825(00)00198-5
关键词:
摘要: Abstract In this paper, we discuss high order iterative methods whose principle has been presented recently (N. Damil, M. Potier-Ferry, A. Najah, R. Chari, Lahmam, Communications in Numerical Methods Engineering 15 (1999) 701–708). These algorithms are optimised by appropriate choices of the homotopy transformation, perturbation technique and strategy control. Especially, use Pade approximants yields very efficient as compared with classical first ones. A non-linear elastic shell problem permits us to assess efficiency proposed method.
harvard.edu
elsevier.com
sci-hub.se 参考文章(18)
Juliette Brunelot, Simulation de la mise en forme à chaud par la Méthode Asymptotique Numerique Metz. ,(1999)
P. Vannucci, B. Cochelin, N. Damil, M. Potier-Ferry, An asymptotic-numerical method to compute bifurcating branches International Journal for Numerical Methods in Engineering. ,vol. 41, pp. 1365- 1389 ,(1998) , 10.1002/(SICI)1097-0207(19980430)41:8<1365::AID-NME332>3.0.CO;2-Y
N. Damil, M. Potier-Ferry, A. Najah, R. Chari, H. Lahmam, An iterative method based upon Padé approximants Communications in Numerical Methods in Engineering. ,vol. 15, pp. 701- 708 ,(1999) , 10.1002/(SICI)1099-0887(199910)15:10<701::AID-CNM283>3.0.CO;2-L
Hermann Matthies, Gilbert Strang, The solution of nonlinear finite element equations International Journal for Numerical Methods in Engineering. ,vol. 14, pp. 1613- 1626 ,(1979) , 10.1002/NME.1620141104
E. Riks, Some computational aspects of the stability analysis of nonlinear structures Computer Methods in Applied Mechanics and Engineering. ,vol. 47, pp. 219- 259 ,(1984) , 10.1016/0045-7825(84)90078-1
H. Zahrouni, B. Cochelin, M. Potier-Ferry, Computing finite rotations of shells by an asymptotic-numerical method Computer Methods in Applied Mechanics and Engineering. ,vol. 175, pp. 71- 85 ,(1999) , 10.1016/S0045-7825(98)00320-X
B. Cochelin, N. Damil, M. Potier-Ferry, Asymptotic-numerical methods and Pade approximants for non-linear elastic structures International Journal for Numerical Methods in Engineering. ,vol. 37, pp. 1187- 1213 ,(1994) , 10.1002/NME.1620370706
Ahmed K. Noor, Jeanne M. Peters, Recent advances in reduction methods for instability analysis of structures Computers & Structures. ,vol. 16, pp. 67- 80 ,(1983) , 10.1016/0045-7949(83)90148-7
J. E. Hurtado, A. H. Barbat, Monte Carlo techniques in computational stochastic mechanics Archives of Computational Methods in Engineering. ,vol. 5, pp. 3- 29 ,(1998) , 10.1007/BF02736747
A. Najah, B. Cochelin, N. Damil, M. Potier-Ferry, A critical review of asymptotic numerical methods Archives of Computational Methods in Engineering. ,vol. 5, pp. 31- 50 ,(1998) , 10.1007/BF02736748