000 02708naaaa2200325uu 4500
001 https://directory.doabooks.org/handle/20.500.12854/64409
005 20220220055059.0
020 _a4910
020 _a9783832549107
024 7 _a10.30819/4910
_cdoi
041 0 _aEnglish
042 _adc
072 7 _aPBKS
_2bicssc
100 1 _aKerler-Back, Johanna
_4auth
245 1 0 _aDynamic iteration and model order reduction for magneto-quasistatic systems
260 _aBerlin/Germany
_bLogos Verlag Berlin
_c2019
300 _a1 electronic resource (164 p.)
506 0 _aOpen Access
_2star
_fUnrestricted online access
520 _aOur 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.
540 _aCreative Commons
_fhttps://creativecommons.org/licenses/by-nc-nd/4.0/
_2cc
_4https://creativecommons.org/licenses/by-nc-nd/4.0/
546 _aEnglish
650 7 _aNumerical analysis
_2bicssc
653 _amodel order reduction
653 _adynamic iteration
653 _amagneto-quasistatic systems
653 _adifferential algebraic equations
653 _afinite element method
856 4 0 _awww.oapen.org
_uhttps://www.logos-verlag.de/ebooks/OA/978-3-8325-4910-7.pdf
_70
_zDOAB: download the publication
856 4 0 _awww.oapen.org
_uhttps://directory.doabooks.org/handle/20.500.12854/64409
_70
_zDOAB: description of the publication
999 _c68949
_d68949