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Numerical Methods for Ferromagnetic Plates

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Applied and Numerical Partial Differential Equations

Part of the book series: Computational Methods in Applied Sciences ((COMPUTMETHODS,volume 15))

Abstract

We present two numerical methods for the simulation of ferromagnetic phenomenons in a metallic plate, with or without holes. First we briefly recall the physical model we use for describing the ferromagnetic phenomenon. This model is based on the use of a scalar potential while other models rather use a vector potential as in [1] or [2]. Next we present the discretization methods we use. We then apply these methods on the simple test-case of a thin ferromagnetic plate placed in front of a rectilineal electric conductor. We show the various obtained results: magnetic field on a line perpendicular to the plate and relative permeability on a given line in the plate. Finally we illustrate our results with an industrial device.

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Correspondence to Michel Flück .

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Flück, M., Hofer, T., Janka, A., Rappaz, J. (2010). Numerical Methods for Ferromagnetic Plates. In: Fitzgibbon, W., Kuznetsov, Y., Neittaanmäki, P., Périaux, J., Pironneau, O. (eds) Applied and Numerical Partial Differential Equations. Computational Methods in Applied Sciences, vol 15. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-3239-3_13

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  • DOI: https://doi.org/10.1007/978-90-481-3239-3_13

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  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-3238-6

  • Online ISBN: 978-90-481-3239-3

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