Summary
The nodal finite element realization of the T — Ω method involving a gauged current vector potential, T, is shown to yield erroneous results if applied to 3D eddy current problems with reentrant corners in the conducting region. The reason for the problem is pinpointed to be the implicit gauging of the vector potential. A remedy of using no gauge in elements around the reentrant corners is suggested.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Carpenter C.J. (1977) Comparison of alternative formulations of 3-dimensional magnetic-field and eddy-current problems at power frequencies. Proc. IEE 124:1026–1034
Bíró O., Preis K. (1990) Finite element analysis of 3-D eddy currents. IEEE Transactions on Magnetics 26:418–423
Bíró O. (1999) Edge element formulations of eddy current problems. Computer Methods in Applied Mechanics and Engineering 169:391–405
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2003 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Bíró, O., Preis, K. (2003). Gauged Current Vector Potential and Reentrant Corners in the FEM Analysis of 3D Eddy Currents. 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_1
Download citation
DOI: https://doi.org/10.1007/978-3-642-55745-3_1
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-44392-6
Online ISBN: 978-3-642-55745-3
eBook Packages: Springer Book Archive