High-order predictor-corrector algorithms

被引：46
|
作者：
Lahman, H
Cadou, JM
Zahrouni, H
Damil, N
Potier-Ferry, M
机构：
[1] Univ Metz, ISGMP, UMR CNRS 7554, LPMM, F-57045 Metz 01, France
[2] Univ Hassan 2, Fac Sci Ben MSik, Lab Calcul Sci Mecan, Casablanca, Morocco
来源：
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING | 2002年 / 55卷 / 06期
关键词：
perturbation techniques; prediction-correction algorithms; finite element method; Pade approximants; thin shells; Navier-Stokes equations;
D O I：
10.1002/nme.524
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
New predictor-corrector algorithms are presented for the computation of solution paths of non-linear partial differential equations. The predictors and the correctors are based on perturbation techniques and Pade approximants. This extends the Asymptotic Numerical Method (ANM), which is an efficient high-order continuation technique without corrector. The efficiency and the reliability of the new technique are assessed by several examples within thin shell theory and Navier-Stokes equations. Many variants have been tested to establish an optimal algorithm. Copyright (C) 2002 John Wiley Sons, Ltd.
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页码：685 / 704
页数：20
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