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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
T. Nakata (ed.), 3-D Electromagnetic Field Analysis, COMPEL, Vol.9 Supplement A (1990).
F. Kikuchi, Mixed Formulations for Finite Element Analysis of Magnetostatic and Electrostatic Problems, Japan J.Appl.Math., Vol.6 (1989), pp.209–221.
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.
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.
J.-C. Nedelec, Mixed Finite Elements in R3, Numer.Math., Vol.35 (1980), pp.315–341.
M. Bercovier and O. Pironneau, Error Estimates for Finite Element Method Solution of the Stokes Problem in the Primitive Variables, Numer.Math., Vol.33 (1979), pp.211–224.
P. Hood, Frontal Solution Program for Unsymmetric Matrices, Int.J.Num.Meth. Engrg., Vol.10 (1976), pp.379–399.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1995 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
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
Download citation
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
eBook Packages: Springer Book Archive