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1 NUMATH - Mathematical Analysis and Numerical Simulation of Non-Linear Models INRIA Lorraine

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.

Keywords : free boundary conformal map electromagnetic shaping spectral methods





Author: Olivier Coulaud - Olivier Henrot -

Source: https://hal.archives-ouvertes.fr/



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