A new steplength control for continuation with the asymptotic numerical method

被引：9

作者：

Gervais, JJ ^{[1
]}

Sadiky, H ^{[1
]}

机构：

[1] Univ Laval, Dept Math & Stat, Quebec City, PQ G1K 7P4, Canada

来源：

IMA JOURNAL OF NUMERICAL ANALYSIS | 2002年 / 22卷 / 02期

关键词：

continuation; steplength control; asymptotic; finite-element;

D O I：

10.1093/imanum/22.2.207

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The continuation method, based on the asymptotic numerical method, to compute solution branches of nonlinear problems depending upon a parameter, has been applied with success to a wide variety of problems in fluids and elasticity. Two methods for the steplength selection have been previously used. In this paper we propose a new strategy for the steplength choice which is more mathematically sound and yields a better control of the local truncation error.

引用

页码：207 / 229

页数：23

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