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dc.contributor.author
Hiptmair, Ralf
dc.contributor.author
Scarabosio, Laura
dc.contributor.author
Schillings, Claudia
dc.contributor.author
Schwab, Christoph
dc.date.accessioned
2017-06-11T23:32:24Z
dc.date.available
2017-06-11T23:32:24Z
dc.date.issued
2015-11
dc.identifier.uri
http://hdl.handle.net/20.500.11850/111355
dc.description.abstract
We address shape uncertainty quantification for the two-dimensional Helmholtz trans- mission problem, where the shape of the scatterer is the only source of uncertainty. In the framework of the so-called deterministic approach, we provide a high-dimensional parametrization for the interface. Each domain configuration is mapped to a nominal configuration, obtaining a problem on a fixed domain with stochastic coefficients. To compute surrogate models and statistics of quantities of interest, we apply an adaptive, anisotropic Smolyak algorithm, which allows to attain high convergence rates that are independent of the number of dimensions activated in the parameter space. We also de- velop a regularity theory with respect to the spatial variable, with norm bounds that are independent of the parametric dimension. The techniques and theory presented in this paper can be easily generalized to any elliptic problem on a stochastic domain.
dc.language.iso
en
dc.publisher
Seminar für Angewandte Mathematik, ETH
dc.title
Large deformation shape uncertainty quantification in acoustic scattering
dc.type
Report
ethz.journal.title
Research Report
ethz.journal.volume
2015-31
ethz.size
51 p.
ethz.notes
.
ethz.publication.place
Zürich
ethz.publication.status
published
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
2017-06-11T23:32:33Z
ethz.source
ECIT
ethz.identifier.importid
imp593654041354352236
ethz.ecitpid
pub:172752
ethz.eth
yes
ethz.availability
Metadata only
ethz.rosetta.installDate
2017-07-14T18:48:12Z
ethz.rosetta.lastUpdated
2018-11-02T21:50:54Z
ethz.rosetta.versionExported
true
ethz.COinS
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