Computing confined elasticae
Abstract: We devise a numerical scheme for computing arc-length parameterized curves of low bending energy that are confined to convex domains. We address the convergence of the discrete formulations to a continuous model and the unconditional stability of an iterative scheme. Numerical simulations confirm the theoretical results and lead to a classification of observed optimal curves within spheres
- Standort
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Deutsche Nationalbibliothek Frankfurt am Main
- Umfang
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Online-Ressource
- Sprache
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Englisch
- Anmerkungen
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Advances in continuous and discrete models. - 2022, 1 (2022) , 58, ISSN: 2731-4235
- Ereignis
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Veröffentlichung
- (wo)
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Freiburg
- (wer)
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Universität
- (wann)
-
2022
- Urheber
- DOI
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10.1186/s13662-022-03731-7
- URN
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urn:nbn:de:bsz:25-freidok-2310819
- Rechteinformation
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Letzte Aktualisierung
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25.03.2025, 13:51 MEZ
Datenpartner
Dieses Objekt wird bereitgestellt von:
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Beteiligte
- Bartels, Sören
- Weyer, Pascal
- Universität
Entstanden
- 2022
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