Compact Equivalent Inverse of the Electric Field Integral Operator on Screens
dc.contributor.author
Hiptmair, Ralf
dc.contributor.author
Urzúa-Torres, Carolina
dc.date.accessioned
2020-03-05T09:06:52Z
dc.date.available
2020-03-05T03:18:00Z
dc.date.available
2020-03-05T09:06:52Z
dc.date.issued
2020
dc.identifier.issn
0378-620X
dc.identifier.issn
1420-8989
dc.identifier.other
10.1007/s00020-020-2564-9
en_US
dc.identifier.uri
http://hdl.handle.net/20.500.11850/403145
dc.identifier.doi
10.3929/ethz-b-000403145
dc.description.abstract
We construct inverses of the variational electric field boundary integral operator up to compact perturbations on orientable topologically simple screens. We describe them as solution operators of variational problems set in low-regularity standard trace spaces. On flat disks these variational problems do not involve the inversion of any non-local operators. This result lays the foundation for operator preconditioning for the discretized electric field integral equation.
en_US
dc.format
application/pdf
en_US
dc.language.iso
en
en_US
dc.publisher
Birkhäuser
en_US
dc.rights.uri
http://creativecommons.org/licenses/by/4.0/
dc.subject
Boundary integral operators
en_US
dc.subject
Electric field integral equation
en_US
dc.subject
Screens
en_US
dc.subject
Hodge decomposition
en_US
dc.title
Compact Equivalent Inverse of the Electric Field Integral Operator on Screens
en_US
dc.type
Journal Article
dc.rights.license
Creative Commons Attribution 4.0 International
dc.date.published
2020-02-19
ethz.journal.title
Integral Equations and Operator Theory
ethz.journal.volume
92
en_US
ethz.journal.issue
1
en_US
ethz.journal.abbreviated
Integr. Equ. Oper. Theory
ethz.pages.start
9
en_US
ethz.size
14 p.
en_US
ethz.version.deposit
publishedVersion
en_US
ethz.identifier.wos
ethz.identifier.scopus
ethz.publication.place
Basel
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
2020-03-05T03:18:09Z
ethz.source
SCOPUS
ethz.eth
yes
en_US
ethz.availability
Open access
en_US
ethz.rosetta.installDate
2020-03-05T09:07:02Z
ethz.rosetta.lastUpdated
2024-02-02T10:30:57Z
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true
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