Isogeometric analysis with \(C^1\) hierarchical functions on planar two-patch geometries (Q2214433)
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scientific article
| Language | Label | Description | Also known as |
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| English | Isogeometric analysis with \(C^1\) hierarchical functions on planar two-patch geometries |
scientific article |
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Isogeometric analysis with \(C^1\) hierarchical functions on planar two-patch geometries (English)
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8 December 2020
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The article focuses on the construction of \(C^1\)-continuous hierarchical splines on two-patch domains. The construction proposed by the authors is based on a class of regular \(C^0\)-continuous multi-patch parameterizations, called analysis-suitable \(G^1\) multi-patch parameterization introduced by \textit{A. Collin} et al. [Comput. Aided Geom. Des. 47, 93--113 (2016; Zbl 1418.65017)]. The results are applied in order to numerically solve the Laplacian and bi-Laplacian equations on two-patch geometries.
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geometric continuity
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isogeometric analysis
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local refinement
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two-patch domain
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hierarchical splines
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0.94139403
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