
Open access
Date
2015Type
- Journal Article
Citations
Cited 12 times in
Web of Science
Cited 14 times in
Scopus
ETH Bibliography
yes
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Abstract
We consider PDE constrained shape optimization in the framework of nite element discretizationof the underlying boundary value problem. We present an algorithm tailored to preserve and exploit the ap-proximation properties of the nite element method, and that allows for arbitrarily high resolution of shapes.It employs (i) B-spline based representations of the deformation di eomorphism, and (ii) superconvergentdomain integral expressions for the shape gradient. We provide numerical evidence of the performance ofthis method both on prototypical well-posed and ill-posed shape optimization problems. Show more
Permanent link
https://doi.org/10.3929/ethz-b-000111344Publication status
publishedExternal links
Journal / series
Computational Methods in Applied SciencesVolume
Pages / Article No.
Publisher
SpringerSubject
Shape Optimization; PDE Constraint; Finite Element MethodOrganisational unit
03632 - Hiptmair, Ralf / Hiptmair, Ralf
Notes
It was possible to publish this article open access thanks to a Swiss National Licence with the publisher.More
Show all metadata
Citations
Cited 12 times in
Web of Science
Cited 14 times in
Scopus
ETH Bibliography
yes
Altmetrics