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dc.contributor.author
Hiptmair, Ralf
dc.contributor.author
Moiola, Andrea
dc.contributor.author
Perugia, Ilaria
dc.date.accessioned
2017-06-11T03:02:02Z
dc.date.available
2017-06-11T03:02:02Z
dc.date.issued
2013
dc.identifier.uri
http://hdl.handle.net/20.500.11850/78120
dc.description.abstract
We consider the two-dimensional Helmholtz equation with constant coefficients on a domain with piecewise analytic boundary, modelling the scattering of acoustic waves at a sound soft obstacle. Our discretisation relies on the Trefftz-discontinuous Galerkin approach with plane wave basis functions on meshes with very general element shapes, geometrically graded towards domain corners. We prove exponential convergence of the discrete solution in terms of number of unknowns.
dc.language.iso
en
dc.publisher
ETH Zürich, Seminar für Angewandte Mathematik
dc.subject
Helmholtz equation
dc.subject
Sound-soft wave scattering
dc.subject
Analytic regularity
dc.subject
approximation by plane waves
dc.subject
Trefftz-discontinuous Galerkin method
dc.subject
Hp-version
dc.subject
A priori convergence analysis
dc.subject
Locally refined meshes
dc.subject
Exponential convergence
dc.title
Plane Wave Discontinuous Galerkin Methods
dc.type
Report
ethz.title.subtitle
Exponential Convergence of the hp-version
ethz.journal.title
Research Report
ethz.journal.volume
2013-31
ethz.size
26 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unpublished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.identifier.url
http://www.sam.math.ethz.ch/sam_reports/reports_final/reports2013/2013-31.pdf
ethz.date.deposited
2017-06-11T03:03:25Z
ethz.source
ECIT
ethz.identifier.importid
imp593651764a6af17866
ethz.ecitpid
pub:123051
ethz.eth
yes
ethz.availability
Metadata only
ethz.rosetta.installDate
2017-07-14T17:30:59Z
ethz.rosetta.lastUpdated
2018-11-02T12:46:16Z
ethz.rosetta.versionExported
true
ethz.COinS
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