Dynamic iteration and model order reduction for magneto-quasistatic systems

Our world today is becoming increasingly complex, and technical devices are getting ever smaller and more powerful. The high density of electronic components together with high clock frequencies leads to unwanted side-effects like crosstalk, delayed signals and substrate noise, which are no longer n...

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Bibliographic Details
Main Author: Kerler-Back, Johanna
Format: eBook
Language:English
Published: Berlin/Germany Logos Verlag Berlin 2019
Series:Augsburger Schriften zur Mathematik, Physik und Informatik
Subjects:
Online Access:
Collection: Directory of Open Access Books - Collection details see MPG.ReNa
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100 1 |a Kerler-Back, Johanna 
245 0 0 |a Dynamic iteration and model order reduction for magneto-quasistatic systems  |h Elektronische Ressource 
260 |a Berlin/Germany  |b Logos Verlag Berlin  |c 2019 
300 |a 1 electronic resource (164 p.) 
653 |a dynamic iteration 
653 |a magneto-quasistatic systems 
653 |a differential algebraic equations 
653 |a finite element method 
653 |a model order reduction 
653 |a Numerical analysis / bicssc 
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520 |a Our world today is becoming increasingly complex, and technical devices are getting ever smaller and more powerful. The high density of electronic components together with high clock frequencies leads to unwanted side-effects like crosstalk, delayed signals and substrate noise, which are no longer negligible in chip design and can only insufficiently be represented by simple lumped circuit models. As a result, different physical phenomena have to be taken into consideration since they have an increasing influence on the signal propagation in integrated circuits. Computer-based simulation methods play thereby a key role. The modelling and analysis of complex multi-physics problems typically leads to coupled systems of partial differential equations and differential-algebraic equations (DAEs). Dynamic iteration and model order reduction are two numerical tools for efficient and fast simulation of coupled systems. Formodelling of low frequency electromagnetic field, we use magneto-quasistatic (MQS) systems which can be considered as an approximation to Maxwells equations. A spatial discretization by using the finite element method leads to a DAE system. We analyze the structural and physical properties of this system and develop passivity-preserving model reduction methods. A special block structure of the MQS model is exploited to to improve the performance of the model reduction algorithms.