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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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https://hal.inria.fr/inria-00074950
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Submitted on : Wednesday, May 24, 2006 - 5:02:53 PM
Last modification on : Friday, February 4, 2022 - 3:17:49 AM
Long-term archiving on: : Tuesday, April 12, 2011 - 8:14:45 PM

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  • HAL Id : inria-00074950, version 1

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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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