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Reduced Order Multirate Schemes for Coupled Differential-Algebraic Systems

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


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  <dc:creator>Bannenberg, M.W.F.M.</dc:creator>
  <dc:creator>Ciccazzo, A.</dc:creator>
  <dc:creator>Günther, M.</dc:creator>
  <dc:date>2021-01-22</dc:date>
  <dc:description>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.</dc:description>
  <dc:description>Preprint BUW-IMACM 21/04, Institute of Mathematical Modelling, Analysis and Computational Mathematics (IMACM), Bergische Universität Wuppertal, January 2021</dc:description>
  <dc:identifier>https://zenodo.org/record/4542811</dc:identifier>
  <dc:identifier>10.5281/zenodo.4542811</dc:identifier>
  <dc:identifier>oai:zenodo.org:4542811</dc:identifier>
  <dc:language>eng</dc:language>
  <dc:relation>info:eu-repo/grantAgreement/EC/H2020/765374/</dc:relation>
  <dc:relation>doi:10.5281/zenodo.4542810</dc:relation>
  <dc:relation>url:https://zenodo.org/communities/romsoc</dc:relation>
  <dc:rights>info:eu-repo/semantics/openAccess</dc:rights>
  <dc:rights>https://creativecommons.org/licenses/by/4.0/legalcode</dc:rights>
  <dc:subject>Mulitrate, Model Order Reduction, Dierential-Algebraic Equations, Snapshot Sampling.</dc:subject>
  <dc:title>Reduced Order Multirate Schemes for Coupled Differential-Algebraic Systems</dc:title>
  <dc:type>info:eu-repo/semantics/preprint</dc:type>
  <dc:type>publication-preprint</dc:type>
</oai_dc:dc>
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