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dc.contributor.author
Heumann, Holger
dc.contributor.author
Hiptmair, Ralf
dc.date.accessioned
2017-06-09T18:14:26Z
dc.date.available
2017-06-09T18:14:26Z
dc.date.issued
2011-10
dc.identifier.uri
http://hdl.handle.net/20.500.11850/43563
dc.description.abstract
We consider generalized linear transient advection problems for differential forms on a bounded domain in Rn. We provide comprehensive a priori convergence estimates for their spatio-temporal discretization by means of a semi-Lagrangian approach combined with a discontinuous Galerkin method. We establish a new asymptotic estimate O(hr+1!−1 2 ) for the L2-norm of the error, where h is the spatial meshwidth, ! denotes the timestep, and r is the polynomial degree of the piecewise polynomial discrete differential forms used as trial functions. Numerical experiments hint that the estimate is sharp for certain trial spaces and may be sub-optimal for others.
dc.language.iso
en
dc.publisher
ETH Zürich, Seminar für Angewandte Mathematik
dc.title
Refined convergence theory for semi-Lagrangian schemes for pure advection
dc.type
Report
ethz.journal.title
Research Report
ethz.journal.volume
2011-60
ethz.size
14 p.
ethz.notes
.
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unpublished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.date.deposited
2017-06-09T18:14:51Z
ethz.source
ECIT
ethz.identifier.importid
imp59364eccad44e77432
ethz.ecitpid
pub:72164
ethz.eth
yes
ethz.availability
Metadata only
ethz.rosetta.installDate
2017-07-25T10:10:47Z
ethz.rosetta.lastUpdated
2018-10-01T15:07:46Z
ethz.rosetta.versionExported
true
ethz.COinS
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