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dc.contributor.author
Ostrowski, Jörg
dc.contributor.author
Hiptmair, Ralf
dc.date.accessioned
2021-10-25T10:24:07Z
dc.date.available
2021-09-16T02:30:19Z
dc.date.available
2021-10-25T10:24:07Z
dc.date.issued
2021
dc.identifier.issn
1064-8275
dc.identifier.issn
1095-7197
dc.identifier.other
10.1137/20M1356300
en_US
dc.identifier.uri
http://hdl.handle.net/20.500.11850/505644
dc.description.abstract
The electro-quasistatic approximation of Maxwell equations is commonly used to model coupled resistive/capacitive phenomena at low frequencies. It neglects induction and becomes unstable in the stationary limit. We introduce a stabilization that prevents this low-frequency breakdown. It results in a system for the electric scalar potential that can be used for electro-quasistatics, electrostatics, as well as DC conduction. Our main finding is that the electro-quasistatic fields can be corrected for magnetic/inductive phenomena at any frequency in a second step. The combined field from both steps is a solution of the full Maxwell equations that consistently takes into account all electromagnetic effects. Electro-quasistatics serves as a gauge condition in this semidecoupled procedure to calculate the electromagnetic potentials. We derive frequency-stable weak variational formulations for both steps that (i) immediately lend themselves to finite-element Galerkin discretization, and (ii) can be equipped with the so-called electric circuit element (ECE) boundary conditions, which facilitate coupling with external circuit models.
en_US
dc.language.iso
en
en_US
dc.publisher
Siam Publications
en_US
dc.subject
Maxwell equations
en_US
dc.subject
ECE boundary conditions
en_US
dc.subject
quasistatic models
en_US
dc.subject
low-frequency breakdown
en_US
dc.subject
low-frequency stabilization
en_US
dc.subject
finite-element method
en_US
dc.title
Frequency-Stable Full Maxwell in Electro-quasistatic Gauge
en_US
dc.type
Journal Article
ethz.journal.title
SIAM Journal on Scientific Computing
ethz.journal.volume
43
en_US
ethz.journal.issue
4
en_US
ethz.journal.abbreviated
SIAM j. sci. comput.
ethz.pages.start
B1008
en_US
ethz.pages.end
B1028
en_US
ethz.identifier.wos
ethz.identifier.scopus
ethz.publication.place
Philadelphia, PA
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
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
2021-09-16T02:30:39Z
ethz.source
WOS
ethz.eth
yes
en_US
ethz.availability
Metadata only
en_US
ethz.rosetta.installDate
2021-10-25T10:24:29Z
ethz.rosetta.lastUpdated
2022-03-29T14:27:52Z
ethz.rosetta.versionExported
true
ethz.COinS
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