Summary
Complex technical systems are often composed of independently modeled subsystems. This co-modeling ansatz is naturally accomplished by a co-simulation algorithm based on dynamic iteration, where the respective DAE submodels are solved iteratively. For index one RC-network designs, we show that dynamic iteration can be stabilized using a preconditioned splitting scheme which employs only topological network information.
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.
References
Arnold, M.: Overlapping dynamic iteration for differential-algebraic systems. Unpublished talk at SciCADE’01, Vancouver.
Arnold, M. and Günther, M.: Preconditioned dynamic iteration for coupled differential-algebraic equations. BIT 41 (2001), 1–25.
Estévez Schwarz, D. and Tischendorf, C.: Structural analysis for electrical circuits and consequences for MNA. Int. J. Circ. Theor. Appl. 28 (2000), 131–162.
Günther, M. and Rentrop, P.: Numerical simulation of electrical ciruits. GAMMMitteilungen Heft 1/2 (2000), 51–77.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2004 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Günther, M. (2004). Preconditioned Splitting in Dynamic Iteration Schemes for Coupled DAE Systems in RC Network Design. In: Buikis, A., Čiegis, R., Fitt, A.D. (eds) Progress in Industrial Mathematics at ECMI 2002. The European Consortium for Mathematics in Industry, vol 5. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-09510-2_20
Download citation
DOI: https://doi.org/10.1007/978-3-662-09510-2_20
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-07262-8
Online ISBN: 978-3-662-09510-2
eBook Packages: Springer Book Archive