Preprint Open Access

Reduced Order Multirate Schemes for Coupled Differential-Algebraic Systems

Bannenberg, M.W.F.M.; Ciccazzo, A.; Günther, M.


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    <subfield code="a">Mulitrate, Model Order Reduction, Dierential-Algebraic Equations, Snapshot Sampling.</subfield>
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    <subfield code="a">Reduced Order Multirate Schemes for Coupled Differential-Algebraic Systems</subfield>
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    <subfield code="a">&lt;p&gt;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 Gau&amp;szlig;-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.&lt;/p&gt;</subfield>
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