Model order reduction for nonlinear IC models with POD

A. Verhoeven, M. Striebel, E.J.W. Maten, ter

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Abstract

Due to refined modelling of semiconductor devices and increasing packing densities, reduced order modelling of large nonlinear systems is of great importance in the design of integrated circuits (ICs). Despite the linear case, methodologies for nonlinear problems are only beginning to develop. The most practical approaches rely either on linearisation, making techniques from linear model order reduction applicable, or on proper orthogonal decomposition (POD), preserving the nonlinear characteristic. In this paper we focus on POD. We demonstrate the missing point estimation and propose a new adaption of POD to reduce both dimension of the problem under consideration and cost for evaluating the full nonlinear system.
Original languageEnglish
Title of host publicationScientific Computing in Electrical Engineering SCEE 2008
EditorsJ. Roos, L.R.J. Costa
Place of PublicationBerlin
PublisherSpringer
Pages571-578
ISBN (Print)978-3-642-12293-4
DOIs
Publication statusPublished - 2010

Publication series

NameMathematics in Industry
Volume14
ISSN (Print)1612-3956

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    Verhoeven, A., Striebel, M., & Maten, ter, E. J. W. (2010). Model order reduction for nonlinear IC models with POD. In J. Roos, & L. R. J. Costa (Eds.), Scientific Computing in Electrical Engineering SCEE 2008 (pp. 571-578). (Mathematics in Industry; Vol. 14). Springer. https://doi.org/10.1007/978-3-642-12294-1_70