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Computational comparison of surface metr...

Schulz, Volker...

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Computational comparison of surface metrics for PDE constrained shape optimization by Schulz, Volker ( Author )

Content Provider	Lemonjar Open Access
Publisher	N.A
Publication Date	29-09-2015
Summary	We compare surface metrics for shape optimization problems with constraints, consisting mainly of partial differential equations (PDE), from a computational point of view. In particular, classical Laplace-Beltrami type based metrics are compared with Steklov-Poincar\'e type metrics. The test problem is the minimization of energy dissipation of a body in a Stokes flow. We therefore set up a quasi-Newton method on appropriate shape manifolds together with an augmented Lagrangian framework, in order to enable a straightforward integration of geometric constraints for the shape. The comparison is focussed towards convergence behavior as well as effects on the mesh quality during shape optimization.
ISBN	-
Item Type	Article
File Type	pdf
File Size	36.88 KB
Language	English
Subjects	-
Unlimited	MYR 0.00
Total read	-
URL	https://arxiv.org/abs/1509.08601

Citation

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AMA 11th EditionReferences

Schulz, Volker. Computational comparison of surface metrics for PDE constrained shape optimization. N.A. September 29, 2015. Accessed August 17, 2025. https://online.provdatabase.com/cite/11375

APA 7th EditionReferences

Schulz, Volker. (2015). Computational comparison of surface metrics for PDE constrained shape optimization. N.A. https://online.provdatabase.com/cite/11375

Chicago 17th EditionReferences

Schulz, Volker. Computational comparison of surface metrics for PDE constrained shape optimization. N.A. 2015. https://online.provdatabase.com/cite/11375

HarvardReferences

Schulz, Volker. (2015). Computational comparison of surface metrics for PDE constrained shape optimization. [Online]. N.A. Available from: https://online.provdatabase.com/cite/11375. (Accessed 17 August 2025).

Harvard AustraliaReferences

Schulz, Volker, 2015, Computational comparison of surface metrics for PDE constrained shape optimization, N.A, viewed 17 August 2025, <https://online.provdatabase.com/cite/11375>

MLA 9th EditionWorks Cited

Schulz, Volker. Computational comparison of surface metrics for PDE constrained shape optimization. N.A, 2015. PROV Database, https://online.provdatabase.com/cite/11375.

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