Numerical Approximation of a Free Boundary Problem Arising in Electromagnetic Shaping

Numerical Approximation of a Free Boundary Problem Arising in Electromagnetic Shaping

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 con...

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Veröffentlicht in:SIAM journal on numerical analysis 1994-08, Vol.31 (4), p.1109-1127
Hauptverfasser: Coulaud, O., Henrot, A.
Format: Artikel
Sprache:eng
Schlagworte:
Algorithms
Analytic functions
Applied sciences
Approximation
Boundary value problems
Conformal mapping
Current density
Electromagnetism
Exact sciences and technology
Forming
Free boundaries
Liquids
Magnetic fields
Metals. Metallurgy
Other forming methods
Production techniques
Spectral methods
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Beschreibung
Zusammenfassung: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.
ISSN:0036-1429
1095-7170
DOI:10.1137/0731058