Numerical approximation of free boundary problem arising in electromagnetic shaping

Abstract : We approximate numerically the section of a column of liquid metal submitted to an external electromagnetic field. The bidimensional model used here leads us to solve by a spectral method a nonlinear boundary problem posed on the exterior of the unit disk to find a convenient conformal mapping. We give accurates bound of the errors obtained during our approximation process. We present some examples of shapes for both exterior and interior shaping.
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Rapport
[Research Report] RR-1610, INRIA. 1992, pp.28
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https://hal.inria.fr/inria-00074950
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Soumis le : mercredi 24 mai 2006 - 17:02:53
Dernière modification le : samedi 17 septembre 2016 - 01:06:50
Document(s) archivé(s) le : mardi 12 avril 2011 - 20:14:45

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Olivier Coulaud, Olivier Henrot. Numerical approximation of free boundary problem arising in electromagnetic shaping. [Research Report] RR-1610, INRIA. 1992, pp.28. 〈inria-00074950〉

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