10.5281/zenodo.4542811
https://zenodo.org/records/4542811
oai:zenodo.org:4542811
Bannenberg, M.W.F.M.
M.W.F.M.
Bannenberg
University of Wuppertal
Ciccazzo, A.
A.
Ciccazzo
STMicroelectronics
Günther, M.
M.
Günther
University of Wuppertal
Reduced Order Multirate Schemes for Coupled Differential-Algebraic Systems
Zenodo
2021
Mulitrate, Model Order Reduction, Dierential-Algebraic Equations, Snapshot Sampling.
2021-01-22
eng
10.5281/zenodo.4542810
https://zenodo.org/communities/romsoc
https://zenodo.org/communities/eu
Creative Commons Attribution 4.0 International
In the context of time-domain simulation of integrated circuits, one often encounters large systems of coupled differential-algebraic equations. Simulation costs of these systems can become prohibitively large as the number of components keeps increasing. In an effort to reduce these simulation costs a twofold approach is presented in this paper. We combine maximum entropy snapshot sampling method and a nonlinear model order reduction technique, with multirate time integration. The obtained model order reduction basis is applied using the Gauß-Newton method with approximated tensors reduction. This reduction framework is then integrated using a coupled-slowest-first multirate integration scheme. The convergence of this combined method verified numerically. Lastly it is shown that the new method results in a reduction of the computational effort without significant loss of accuracy.
Preprint BUW-IMACM 21/04, Institute of Mathematical Modelling, Analysis and Computational Mathematics (IMACM), Bergische Universität Wuppertal, January 2021
European Commission
10.13039/501100000780
765374
Reduced Order Modelling, Simulation and Optimization of Coupled systems