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Domain Decomposition for Computing Ferromagnetic Effects

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Numerical Mathematics and Advanced Applications - ENUMATH 2013

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 103))

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Abstract

We present here a model for simulating the ferromagnetic screening effect in thin steel plates. We exhibit a domain decomposition method to solve this problem by using only Laplace equations. We then apply this on an academic situation of a steel plate placed in front of a linear conductor and on an industrial application in aluminum production. More details and proofs can be found in Flück et al. (Numerical methods for ferromagnetic plates. Scientific report, SB/MATHICSE, EPFL).

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References

  1. J. Descloux, M. Flück, M.V. Romerio, A problem of magnetostatics related to thin plates. RAIAO Modél. Math. Anal. Numér. 32(7), 859–876 (1998)

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  2. M. Flück, A. Janka, J. Rappaz, Numerical methods for ferromagnetic plates. Scientific report, SB/MATHICSE, EPFL

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  3. J-C. Nédélec, Acoustic and Electromagnetic Equations, Integral Representations for Harmonic Problems. Applied Mathematical Sciences, vol. 144 (Springer, New York, 2001)

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  4. R. Touzani, J. Rappaz, Mathematical Models for Eddy Currents and Magnetostatics, chap 11. Scientific Computation (Springer, Dordrecht, 2013)

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Author information

Authors and Affiliations

  1. Ecole Polytechnique Fédérale de Lausanne, Lausanne, Switzerland

    Michel Flueck & Jacques Rappaz

  2. Ecole d’Ingénieurs et d’Architectes de Fribourg, Fribourg, Switzerland

    Ales Janka

Authors
  1. Michel Flueck
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  2. Ales Janka
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  3. Jacques Rappaz
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Corresponding author

Correspondence to Michel Flueck .

Editor information

Editors and Affiliations

  1. MATHICSE-ANMC, Ecole Polytechnique Fédérale de Lausanne, Lausanne, Switzerland

    Assyr Abdulle

  2. SB MATHICSE CMCS, Ecole Polytechnique Fédérale de Lausanne, Lausanne, Switzerland

    Simone Deparis

  3. SB MATHICSE ANCHP, Ecole Polytechnique Fédérale de Lausanne, Lausanne, Switzerland

    Daniel Kressner

  4. SB MATHICSE CSQI, Ecole Polytechnique Fédérale de Lausanne, Lausanne, Switzerland

    Fabio Nobile

  5. SB MATHICSE GR-PI, Ecole Polytechnique Fédérale de Lausanne, Lausanne, Switzerland

    Marco Picasso

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© 2015 Springer International Publishing Switzerland

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Flueck, M., Janka, A., Rappaz, J. (2015). Domain Decomposition for Computing Ferromagnetic Effects. In: Abdulle, A., Deparis, S., Kressner, D., Nobile, F., Picasso, M. (eds) Numerical Mathematics and Advanced Applications - ENUMATH 2013. Lecture Notes in Computational Science and Engineering, vol 103. Springer, Cham. https://doi.org/10.1007/978-3-319-10705-9_77

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