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

Authors
COULAUD O HENROT A
Citation
O. Coulaud et A. Henrot, NUMERICAL APPROXIMATION OF A FREE-BOUNDARY PROBLEM ARISING IN ELECTROMAGNETIC SHAPING, SIAM journal on numerical analysis, 31(4), 1994, pp. 1109-1127
Citations number
14
Categorie Soggetti
Mathematics,Mathematics
Journal title
SIAM journal on numerical analysis → ACNP
ISSN journal
00361429
Volume
31
Issue
4
Year of publication
1994
Pages
1109 - 1127
Database
ISI
SICI code
0036-1429(1994)31:4<1109:NAOAFP>2.0.ZU;2-V
Abstract
This paper deals with the numerical approximation of the section of a column of liquid metal shaped by an external electromagnetic field. Th e bidimensional model used here leads up to solve, by a spectral metho d, a nonlinear boundary value problem posed on the exterior of the uni t disk to find a convenient conformal mapping. We give accurate bounds on the errors in the approximation process. Some examples of shapes f or both exterior and interior shaping are presented.