Show simple item record

dc.contributor.author
Buffa, Annalisa
dc.contributor.author
Hiptmair, Ralf
dc.contributor.author
Panchal, P.
dc.date.accessioned
2021-04-12T07:53:58Z
dc.date.available
2021-01-23T08:39:42Z
dc.date.available
2021-01-25T11:00:08Z
dc.date.available
2021-04-12T07:53:58Z
dc.date.issued
2021
dc.identifier.issn
1532-2467
dc.identifier.issn
0163-0563
dc.identifier.other
10.1080/01630563.2020.1870134
en_US
dc.identifier.uri
http://hdl.handle.net/20.500.11850/465006
dc.description.abstract
We consider scalar-valued shape functionals on sets of shapes which are small perturbations of a reference shape. The shapes are described by parameterizations and their closeness is induced by a Hilbert space structure on the parameter domain. We justify a heuristic for finding the best low-dimensional parameter subspace with respect to uniformly approximating a given shape functional. We also propose an adaptive algorithm for achieving a prescribed accuracy when representing the shape functional with a small number of shape parameters.
en_US
dc.language.iso
en
en_US
dc.publisher
Taylor & Francis
en_US
dc.subject
Model reduction
en_US
dc.subject
Shape calculus
en_US
dc.subject
Shape gradient
en_US
dc.subject
shape Hessian
en_US
dc.subject
Low-rank approximation
en_US
dc.subject
power iteration
en_US
dc.title
Adaptive Approximation of Shapes
en_US
dc.type
Journal Article
dc.date.published
2021-01-12
ethz.journal.title
Numerical Functional Analysis and Optimization
ethz.journal.volume
42
en_US
ethz.journal.issue
2
en_US
ethz.journal.abbreviated
Numer. Funct. Anal. and Optimiz.
ethz.pages.start
132
en_US
ethz.pages.end
154
en_US
ethz.identifier.wos
ethz.identifier.scopus
ethz.publication.place
Philadelphia, PA
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::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
2021-01-23T08:39:54Z
ethz.source
WOS
ethz.eth
yes
en_US
ethz.availability
Metadata only
en_US
ethz.rosetta.installDate
2021-04-12T07:54:09Z
ethz.rosetta.lastUpdated
2022-03-29T06:29:08Z
ethz.rosetta.versionExported
true
ethz.COinS
ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.atitle=Adaptive%20Approximation%20of%20Shapes&rft.jtitle=Numerical%20Functional%20Analysis%20and%20Optimization&rft.date=2021&rft.volume=42&rft.issue=2&rft.spage=132&rft.epage=154&rft.issn=1532-2467&0163-0563&rft.au=Buffa,%20Annalisa&Hiptmair,%20Ralf&Panchal,%20P.&rft.genre=article&rft_id=info:doi/10.1080/01630563.2020.1870134&
 Search print copy at ETH Library

Files in this item

FilesSizeFormatOpen in viewer

There are no files associated with this item.

Publication type

Show simple item record