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3-D Eddy Current Analysis by the Edge Elements

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Computational Mechanics ’95

Abstract

A method for 3-D eddy current analysis is given and applied to a problem of asymmetrical conductor with a hole (Problem 7 in Testing Electromagnetic Analysis Methods (TEAM) Workshop)[1]. Adopting the A-Φ formulation, we approximate a weak formulation by the mixed finite element method which was originally developed by the third author for the magnetostatic analysis [2], [3]. Though the mesh is coarser than the proposed one, our results almost agree with experimental ones.

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References

  1. T. Nakata (ed.), 3-D Electromagnetic Field Analysis, COMPEL, Vol.9 Supplement A (1990).

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  2. F. Kikuchi, Mixed Formulations for Finite Element Analysis of Magnetostatic and Electrostatic Problems, Japan J.Appl.Math., Vol.6 (1989), pp.209–221.

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  3. F. Kikuchi, On a Discrete Compactness Property for the Nedelec Finite Elements, J.Fac.Sci., Univ.Tokyo, Sect.IA, Math., Vol.36 (1989), pp.479–490.

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  4. H. Kanayama et al., 3-D Eddy Current Analysis of Asymmetrical Conductor with a Hole by the Mixed Finite Element Method, COMPEL, Vol.9 Supplement A (1990), pp.218–220.

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  5. J.-C. Nedelec, Mixed Finite Elements in R3, Numer.Math., Vol.35 (1980), pp.315–341.

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© 1995 Springer-Verlag Berlin Heidelberg

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Kanayama, H., Ikeguchi, S., Kikuchi, F. (1995). 3-D Eddy Current Analysis by the Edge Elements. In: Atluri, S.N., Yagawa, G., Cruse, T. (eds) Computational Mechanics ’95. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-79654-8_95

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  • DOI: https://doi.org/10.1007/978-3-642-79654-8_95

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-79656-2

  • Online ISBN: 978-3-642-79654-8

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