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Title:

Spline- and hp-basis functions of higher differentiability in the finite cell method

Document type:
Zeitschriftenaufsatz
Author(s):
Kollmannsberger, Stefan; D'Angella, Davide; Rank, Ernst; Garhuom, Wadhah; Hubrich, Simeon; Düster, Alexander; Stolfo, Paolo Di; Schröder, Andreas
Abstract:
In this paper, the use of hp-basis functions with higher differentiability properties is discussed in the context of the finite cell method and numerical simulations on complex geometries. For this purpose, Ck hp-basis functions based on classical B-splines and a new approach for the construction of C1 hp-basis functions with minimal local support are introduced. Both approaches allow for hanging nodes, whereas the new C1 approach also includes varying polynomial degrees. The properties of the h...     »
Keywords:
continuity, finite cell method, finite strain elastoplasticity, hierarchical B-splines, hp-basis, local refinement
Journal title:
GAMM-Mitteilungen
Year:
2019
Journal volume:
0
Year / month:
2019-08
Quarter:
3. Quartal
Month:
Aug
Journal issue:
0
Pages contribution:
e202000004
Reviewed:
ja
Language:
en
Fulltext / DOI:
doi:10.1002/gamm.202000004
WWW:
https://onlinelibrary.wiley.com/doi/abs/10.1002/gamm.202000004
Status:
Verlagsversion / published
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