Convergence properties of the Newton-Raphson method for nonlinear problems

被引：25

作者：

Janicke, L ^{[1
]}

Kost, A ^{[1
]}

机构：

[1] Brandenburg Tech Univ Cottbus, Lehrstuhl Allgemeine Elektrotech, D-03013 Cottbus, Germany

来源：

IEEE TRANSACTIONS ON MAGNETICS | 1998年 / 34卷 / 05期

关键词：

convergence of numerical methods; Newton-Raphson method; magnetostatics; nonlinear equations; nonlinear magnetics;

D O I：

10.1109/20.717577

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

In order to solve the nonlinear equation system arising when solving magnetic fields with the finite element method, very often the Newton-Raphson method is applied. Sometimes it is advantageous or necessary to apply relaxation factors in order to improve the convergence. In this paper reasons and workarounds for the convergence problem are discussed.

引用

页码：2505 / 2508

页数：4

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