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Applications of the Mortar Element Method to 3D Electromagnetic Moving Structures

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Computational Electromagnetics

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 28))

Summary

This paper deals with the modelling, the analysis and a numerical approach for the simulation of the dynamical behavior of a three-dimensional coupled magneto-mechanical system such as a damping machine. The model is based on the electric formulation of the eddy currents problem for the electromagnetic part and on the motion equation of a rotating rigid body for the mechanical part.

For the approximation, the magnetic system is discretized in space by means of edge elements and the sliding mesh mortar element method is used to account for the rotation. In time, a one step Euler method is used, implicit for the magnetic and velocity equations and explicit for the rotation angle. The coupled differential system can then be solved with an explicit procedure.

Here, we analyse the well-posedness of the continuous problem and give some details on its discretization.

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Author information

Authors and Affiliations

  1. Istituto di Analisi Numerica del C.N.R., Via Ferrata 1, 27100, Pavia, Italy

    Annalisa Buffa

  2. Laboratoire J.-L. Lions, UMR 7598 CNRS, Université Paris 6, boîte courrier 187, 4 place Jussieu, 75252, Paris cedex 5, France

    Yvon Maday

  3. Laboratoire de Mathématiques J. A. Dieudonné, UMR 6621 CNRS, Université de Nice Sophia-Antipolis, Parc Valrose, 06108, Nice cedex 2, France

    Francesca Rapetti

Authors
  1. Annalisa Buffa
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  2. Yvon Maday
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  3. Francesca Rapetti
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Editor information

Editors and Affiliations

  1. Department of Mathematical Sciences, University of Delaware, Newark, DE, 19717, USA

    Peter Monk

  2. Institute for Applied Mathematics, Vienna University of Technology, Wiedner Hauptstraße 8-10, 1040, Vienna, Austria

    Carsten Carstensen

  3. Institute of Mathematics, University of Erlangen-Nürnberg, Bismarckstraße 1 1/2, 91054, Erlangen, Germany

    Stefan Funken

  4. Max-Planck-Institute for Mathematics in the Sciences, Inselstraße 22, 04103, Liepzig, Germany

    Wolfgang Hackbusch

  5. Department of Mathematics, University of Augsburg, Universitätsstraße 14, 86159, Augsburg, Germany

    Ronald H. W. Hoppe

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© 2003 Springer-Verlag Berlin Heidelberg

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Buffa, A., Maday, Y., Rapetti, F. (2003). Applications of the Mortar Element Method to 3D Electromagnetic Moving Structures. In: Monk, P., Carstensen, C., Funken, S., Hackbusch, W., Hoppe, R.H.W. (eds) Computational Electromagnetics. Lecture Notes in Computational Science and Engineering, vol 28. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55745-3_4

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  • DOI: https://doi.org/10.1007/978-3-642-55745-3_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-44392-6

  • Online ISBN: 978-3-642-55745-3

  • eBook Packages: Springer Book Archive

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