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dc.contributor.author
Beuchler, Sven
dc.contributor.author
Schneider, Reinhold
dc.contributor.author
Schwab, Christoph
dc.date.accessioned
2022-08-30T14:58:50Z
dc.date.available
2017-06-10T01:23:33Z
dc.date.available
2022-08-30T14:58:50Z
dc.date.issued
2004-07
dc.identifier.issn
0029-599X
dc.identifier.issn
0945-3245
dc.identifier.other
10.1007/s00211-003-0491-8
en_US
dc.identifier.uri
http://hdl.handle.net/20.500.11850/49976
dc.identifier.doi
10.3929/ethz-b-000049976
dc.description.abstract
We establish multiresolution norm equivalences in weighted spaces $L^2_w$ ((0,1)) with possibly singular weight functions $w(x) \geq 0$ in (0,1). Our analysis exploits the locality of the biorthogonal wavelet basis and its dual basis functions. The discrete norms are sums of wavelet coefficients which are weighted with respect to the collocated weight function $w(x)$ within each scale. Since norm equivalences for Sobolev norms are by now well-known, our result can also be applied to weighted Sobolev norms. We apply our theory to the problem of preconditioning $p$-Version FEM and wavelet discretizations of degenerate elliptic and parabolic problems from finance.
en_US
dc.format
application/pdf
en_US
dc.language.iso
en
en_US
dc.publisher
Springer
en_US
dc.rights.uri
http://rightsstatements.org/page/InC-NC/1.0/
dc.title
Multiresolution weighted norm equivalences and applications
en_US
dc.type
Journal Article
dc.rights.license
In Copyright - Non-Commercial Use Permitted
dc.date.published
2004-04-08
ethz.journal.title
Numerische Mathematik
ethz.journal.volume
98
en_US
ethz.journal.issue
1
en_US
ethz.journal.abbreviated
Numer. Math.
ethz.pages.start
67
en_US
ethz.pages.end
97
en_US
ethz.version.deposit
publishedVersion
en_US
ethz.notes
It was possible to publish this article open access thanks to a Swiss National Licence with the publisher
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ethz.identifier.wos
ethz.identifier.scopus
ethz.publication.place
Berlin
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::03435 - Schwab, Christoph / Schwab, Christoph
en_US
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::03435 - Schwab, Christoph / Schwab, Christoph
ethz.date.deposited
2017-06-10T01:26:13Z
ethz.source
ECIT
ethz.identifier.importid
imp59364f49194c526112
ethz.ecitpid
pub:81961
ethz.eth
yes
en_US
ethz.availability
Open access
en_US
ethz.rosetta.installDate
2017-07-13T12:09:13Z
ethz.rosetta.lastUpdated
2021-02-14T08:53:11Z
ethz.rosetta.exportRequired
true
ethz.rosetta.versionExported
true
ethz.COinS
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