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Boundary Element Technology VII pp 319–329Cite as

Boundary Element Singularities in 3D Magnetostatic Problems Based on the Vector Potential

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Abstract

The application of the boundary element method to scalar fields involves various kinds of singular integrals. Some of them are weak singular and integratale in the classical sense. Others are strong singular and are integrable in the Cauchy principal value sense.

The purpose of this paper is to extend those concepts to the case of vector fields. The case of the magnetic vector potential is considered. The BEM for 3D magnetostatics is based on the integral vector relation.

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References

  1. A. Nicolet, Modélisation du champ magnétique dans les systèmes comprenant des milieux non linéaires, Ph. D. Thesis, University of Liège, Liège, May 1991.

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  2. L. Schwartz, Méthodes mathématiques pour les sciences physiques, Hermann, Paris, 1983.

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  3. R. Dautray, J.L. Lions, Analyse mathématique et calcul numérique pour les sciences et les techniques, vol. 6. Masson, Paris, 1987.

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  4. J.P. Adriaens, F. Delince, P. Dular, A. Genon, W. Legros, A. Nicolet, Vector Potential Boundary Element Method for Three Dimensional Magnetostatic, IEEE Transactions on Magnetics, vol. 27, n°5, September 1991, pp 3808 - 3810.

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Author information

Authors and Affiliations

  1. University of Liege, Department of Electrical Engineering, Institut Montefiore, Sart Tilman, B 28 - 4000, Liège, Belgium

    A. Nicolet, P. Dular (Research Assistant with the Belgian National Fund for Scientific Research), A. Genon & W. Legros

Authors
  1. A. Nicolet
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  2. P. Dular
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  3. A. Genon
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  4. W. Legros
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Editor information

Editors and Affiliations

  1. Wessex Institute of Technology, University of Portsmouth, Ashurst Lodge, Ashurst, Southampton, SO4 2AA, UK

    C. A. Brebbia

  2. Dept. of mechanical Engineering, University of New Mexico, Albuquerque, NM, 87131, USA

    M. S. Ingber

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© 1992 Computational Mechanics Publications

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Nicolet, A., Dular, P., Genon, A., Legros, W. (1992). Boundary Element Singularities in 3D Magnetostatic Problems Based on the Vector Potential. In: Brebbia, C.A., Ingber, M.S. (eds) Boundary Element Technology VII. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2872-8_22

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  • DOI: https://doi.org/10.1007/978-94-011-2872-8_22

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-85166-782-6

  • Online ISBN: 978-94-011-2872-8

  • eBook Packages: Springer Book Archive

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