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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| Format: | Online |
| Język: | angielski |
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Logos Verlag Berlin
2021
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| Hasła przedmiotowe: | |
| Dostęp online: | ONIX_20210408_9783832549107_51 |
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| _version_ | 1869517480446132224 |
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| author | Kerler-Back, Johanna |
| author_browse | Kerler-Back, Johanna |
| author_facet | Kerler-Back, Johanna |
| author_sort | Kerler-Back, Johanna |
| collection | Directory of Open Access Books |
| description | 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. |
| format | Online |
| id | doab-20.500.12854ir-64409 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2021 |
| publishDateRange | 2021 |
| publishDateSort | 2021 |
| publisher | Logos Verlag Berlin |
| publisherStr | Logos Verlag Berlin |
| record_format | ojs |
| spelling | doab-20.500.12854ir-644092024-04-04T14:41:10Z Dynamic iteration and model order reduction for magneto-quasistatic systems Kerler-Back, Johanna model order reduction dynamic iteration magneto-quasistatic systems differential algebraic equations finite element method thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis::PBKS Numerical analysis 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. 2021-04-08T15:34:05Z 2021-04-08T15:34:05Z 2019 book ONIX_20210408_9783832549107_51 9783832549107 https://directory.doabooks.org/handle/20.500.12854/64409 eng Augsburger Schriften zur Mathematik, Physik und Informatik image/jpeg Attribution-NonCommercial-NoDerivatives 4.0 International https://www.logos-verlag.de/cgi-bin/engbuchmid?isbn=4910&lng=eng&id= https://www.logos-verlag.de/ebooks/OA/978-3-8325-4910-7.pdf Logos Verlag Berlin Logos Verlag Berlin 10.30819/4910 10.30819/4910 04b263a1-7fba-4491-9eae-1c394ac42fc3 9783832549107 Logos Verlag Berlin 35 164 Berlin/Germany open access |
| spellingShingle | model order reduction dynamic iteration magneto-quasistatic systems differential algebraic equations finite element method thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis::PBKS Numerical analysis Kerler-Back, Johanna Dynamic iteration and model order reduction for magneto-quasistatic systems |
| title | Dynamic iteration and model order reduction for magneto-quasistatic systems |
| title_full | Dynamic iteration and model order reduction for magneto-quasistatic systems |
| title_fullStr | Dynamic iteration and model order reduction for magneto-quasistatic systems |
| title_full_unstemmed | Dynamic iteration and model order reduction for magneto-quasistatic systems |
| title_short | Dynamic iteration and model order reduction for magneto-quasistatic systems |
| title_sort | dynamic iteration and model order reduction for magneto quasistatic systems |
| topic | model order reduction dynamic iteration magneto-quasistatic systems differential algebraic equations finite element method thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis::PBKS Numerical analysis |
| topic_facet | model order reduction dynamic iteration magneto-quasistatic systems differential algebraic equations finite element method thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis::PBKS Numerical analysis |
| url | ONIX_20210408_9783832549107_51 |
| work_keys_str_mv | AT kerlerbackjohanna dynamiciterationandmodelorderreductionformagnetoquasistaticsystems |