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.
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References
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This work is funded by the European FP7 project nanoCOPS under grant 619166.
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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
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DOI: https://doi.org/10.1007/978-3-319-75538-0_3
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