Weakening the tight coupling between geometry and simulation in isogeometric analysis: from sub- and super-geometric analysis to geometry-independent field approximaTion (GIFT)
Author
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Atroshchenko, Elena
Author
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Tomar, Satyendra
Author
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Xu, Gang
Author
dc.contributor.author
Bordas, Stephane P. A.
Admission date
dc.date.accessioned
2018-10-08T16:09:24Z
Available date
dc.date.available
2018-10-08T16:09:24Z
Publication date
dc.date.issued
2018-06
Cita de ítem
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Int J Numer Methods Eng. 2018;114:1131–1159
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Identifier
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10.1002/nme.5778
Identifier
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https://repositorio.uchile.cl/handle/2250/152023
Abstract
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This paper presents an approach to generalize the concept of isogeometric analysis by allowing different spaces for the parameterization of the computational domain and for the approximation of the solution field. The method inherits the main advantage of isogeometric analysis, ie, preserves the original exact computer-aided design geometry (for example, given by nonuniform rational B-splines), but allows pairing it with an approximation space, which is more suitable/flexible for analysis, for example, T-splines, LR-splines, (truncated) hierarchical B-splines, and PHT-splines. This generalization offers the advantage of adaptive local refinement without the need to reparameterize the domain, and therefore without weakening the link with the computer-aided design model. We demonstrate the use of the method with different choices of geometry and field spaces and show that, despite the failure of the standard patch test, the optimum convergence rate is achieved for nonnested spaces.
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Patrocinador
dc.description.sponsorship
University of Luxembourg
European Research Council
279578
Luxembourg National Research Funds
INTER/FWO/15/10318764
INTER/MOBILITY/14/8813215/CBM/Bordas
National Nature Science Foundation of China
61772163
61472111
Zhejiang Provincial Natural Science Foundation of China
LR16F020003
LQ16F020005
Open Project Program of the State Key Lab of CADCG
A1703
International Journal for Numerical Methods in Engineering
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Keywords
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CAD
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Keywords
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IGA
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Keywords
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Nurbs
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Keywords
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PHT-splines
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Título
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Weakening the tight coupling between geometry and simulation in isogeometric analysis: from sub- and super-geometric analysis to geometry-independent field approximaTion (GIFT)