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dc.contributor.author
Hiptmair, Ralf
dc.contributor.author
Lopez-Fernandez, Maria
dc.contributor.author
Paganini, Alberto
dc.date.accessioned
2017-06-11T03:01:36Z
dc.date.available
2017-06-11T03:01:36Z
dc.date.issued
2013-01
dc.identifier.uri
http://hdl.handle.net/20.500.11850/78111
dc.description.abstract
We consider an eddy current problem in time-domain relying on impedance boundary conditions on the surface of the conductor(s). We pursue its full discretization comprising (i) a finite element Galerkin discretization by means of lowest order edge elements in space, and (ii) temporal discretization based on Runge-Kutta convolution quadrature (CQ) for the resulting Volterra integral equation in time. The final algorithm also involves the fast and oblivious approximation of CQ. For this method we give a comprehensive convergence analysis and establish that the errors of spatial discretization, CQ and of its approximate realization add up to the final error bound.
dc.language.iso
en
dc.publisher
ETH Zürich, Seminar für Angewandte Mathematik
dc.subject
Eddy current problem
dc.subject
Impedance boundary conditions
dc.subject
Convolution
dc.subject
Quadrature
dc.subject
Fast and oblivious algorithms
dc.title
Fast Convolution Quadrature Based Impedance Boundary Conditions
dc.type
Report
ethz.journal.volume
Research Report
ethz.journal.issue
2013-02
ethz.size
26 p.
ethz.identifier.scopus
ethz.publication.place
Zürich
ethz.publication.status
unpublished
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.identifier.url
http://www.sam.math.ethz.ch/sam_reports/reports_final/reports2013/2013-02.pdf
ethz.date.deposited
2017-06-11T03:03:25Z
ethz.source
ECIT
ethz.identifier.importid
imp593651762690f82962
ethz.ecitpid
pub:123041
ethz.eth
yes
ethz.availability
Metadata only
ethz.rosetta.installDate
2017-07-15T15:15:08Z
ethz.rosetta.lastUpdated
2018-11-02T12:46:03Z
ethz.rosetta.versionExported
true
ethz.COinS
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