Abstract
The convergence for a co-simulation method is commonly based on an error recursion. Usually the contraction condition itself is obtained by some estimations (standard theory). This paper takes a closer look at the coupling structure of co-simulation model for a simple electric circuit. It is shown that with standard theory for our example no contraction could be inferred. However, co-simulation converges. By a detailed analysis, we can prove convergence in this case.
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Acknowledgements
This work is supported by the German Federal Ministry of Education and Research (BMBF) in the research project SIMUROM project (grant number 05M13PXB). In addition, we acknowledge the support from the project nanoCOPS, Nanoelectronic COupled Problems Solutions (FP7-ICT-2013-11/619166), http://www.fp7-nanoCOPS.eu/.
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Gausling, K., Bartel, A. (2016). Analysis of the Contraction Condition in the Co-simulation of a Specific Electric Circuit. In: Russo, G., Capasso, V., Nicosia, G., Romano, V. (eds) Progress in Industrial Mathematics at ECMI 2014. ECMI 2014. Mathematics in Industry(), vol 22. Springer, Cham. https://doi.org/10.1007/978-3-319-23413-7_119
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DOI: https://doi.org/10.1007/978-3-319-23413-7_119
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