NUMERICAL APPROXIMATION OF A FREE-BOUNDARY PROBLEM ARISING IN ELECTROMAGNETIC SHAPING

被引：15

作者：

COULAUD, O ^{[1
]}

HENROT, A ^{[1
]}

机构：

[1] UNIV NANCY 1,DEPT MATH,CNRS,URA 750,F-54506 VANDOEUVRE NANCY,FRANCE

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1994年 / 31卷 / 04期

关键词：

FREE BOUNDARY; CONFORMAL MAP; ELECTROMAGNETIC SHAPING; SPECTRAL METHODS;

D O I：

10.1137/0731058

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the numerical approximation of the section of a column of liquid metal shaped by an external electromagnetic field. The bidimensional model used here leads up to solve, by a spectral method, a nonlinear boundary value problem posed on the exterior of the unit disk to find a convenient conformal mapping. We give accurate bounds on the errors in the approximation process. Some examples of shapes for both exterior and interior shaping are presented.

引用

页码：1109 / 1127

页数：19

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