Electromagnetic port boundary conditions: Topological and variational perspective
dc.contributor.author
Hiptmair, Ralf
dc.contributor.author
Ostrowski, Jörg
dc.date.accessioned
2021-04-23T12:49:53Z
dc.date.available
2020-12-17T14:45:45Z
dc.date.available
2020-12-18T07:01:57Z
dc.date.available
2021-04-23T12:49:53Z
dc.date.issued
2020
dc.identifier.issn
0894-3370
dc.identifier.issn
1099-1204
dc.identifier.other
10.1002/jnm.2839
en_US
dc.identifier.uri
http://hdl.handle.net/20.500.11850/456904
dc.description.abstract
We present a comprehensive and variational approach to the coupling of electromagnetic field models with circuit‐type models. That coupling relies on integral nonlocal quantities like voltage and current for electric ports, magnetomotive force, and magnetic flux for magnetic ports, and linked currents and fluxes for “tunnels” in the field domain. These quantities are closely linked to nonbounding cycles studied in algebraic topology and they respect electromagnetic power balance laws. We obtain two dual variational formulations, called E‐based and H‐based, which provide a foundation for finite‐element Galerkin discretization. © 2020 John Wiley & Sons, Ltd
en_US
dc.language.iso
en
en_US
dc.publisher
Wiley
en_US
dc.subject
(M)ECE models
en_US
dc.subject
electric and magnetic ports
en_US
dc.subject
field-circuit coupling
en_US
dc.subject
finite elements
en_US
dc.subject
relative cohomology
en_US
dc.title
Electromagnetic port boundary conditions: Topological and variational perspective
en_US
dc.type
Journal Article
dc.date.published
2020-11-30
ethz.journal.title
International Journal of Numerical Modelling-Electronic Networks Devices and Fields
ethz.journal.volume
34
en_US
ethz.journal.issue
3
en_US
ethz.pages.start
e2839
en_US
ethz.size
23 p.
en_US
ethz.identifier.wos
ethz.identifier.scopus
ethz.publication.place
Hoboken, NJ
en_US
ethz.publication.status
published
en_US
ethz.leitzahl
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02000 - Dep. Mathematik / Dep. of Mathematics::02501 - Seminar für Angewandte Mathematik / Seminar for Applied Mathematics::03632 - Hiptmair, Ralf / Hiptmair, Ralf
en_US
ethz.leitzahl.certified
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02000 - Dep. Mathematik / Dep. of Mathematics::02501 - Seminar für Angewandte Mathematik / Seminar for Applied Mathematics::03632 - Hiptmair, Ralf / Hiptmair, Ralf
ethz.date.deposited
2020-12-17T14:45:49Z
ethz.source
WOS
ethz.eth
yes
en_US
ethz.availability
Metadata only
en_US
ethz.rosetta.installDate
2021-04-23T12:50:06Z
ethz.rosetta.lastUpdated
2022-03-29T06:44:26Z
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true
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Publikationstyp
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Journal Article [122037]