Abstract
We present an analysis of the stability characteristics of the discretized Maxwell-Ampere equations that result from a finite integration of the potential formulation. We demonstrate that the derivation of the discrete versions of these equations will result into unstable formulations unless, in the conversion from a continuous expression to a discrete expression, one accounts for the original motivation of the presence of the prior form.
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
References
Baumanns, S., Clemens, M., Schöps, S.: Structural aspects of regularized full Maxwell electrodynamic potential formulations using FIT. In: Proceedings of the 2013 International Symposium on Electromagnetic Theory, ISET, 24PM1C-01, pp. 1007–1010 (2014)
Schoenmaker, W., Chen, Q., Galy, P.: Computation of self-induced magnetic field effects including the Lorentz force for fast-transient phenomena in integrated-circuit devices. IEEE Trans. Comput. Aided Des. Integr. Circuits Syst. 33, 893–902 (2014)
Acknowledgements
This work is funded by the European FP7 project nanoCOPS under grant 619166.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer International Publishing AG, part of Springer Nature
About this paper
Cite this paper
Schoenmaker, W., Strohm, C., Bittner, K., Brachtendorf, H.G., Tischendorf, C. (2018). Stability Analysis of Electromagnetic Transient Simulations. In: Langer, U., Amrhein, W., Zulehner, W. (eds) Scientific Computing in Electrical Engineering. Mathematics in Industry(), vol 28. Springer, Cham. https://doi.org/10.1007/978-3-319-75538-0_3
Download citation
DOI: https://doi.org/10.1007/978-3-319-75538-0_3
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-75537-3
Online ISBN: 978-3-319-75538-0
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)