Journal
COMPUTERS & MATHEMATICS WITH APPLICATIONS
Volume 80, Issue 11, Pages 2538-2562Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2020.03.018
Keywords
Isogeometric analysis; Geometric continuity; Two-patch domain; Hierarchical splines; Local refinement
Categories
Funding
- INdAM through GNCS and Finanziamenti Premiali SUNRISE
- ERC Advanced Grant CHANGE [694515]
- Austrian Science Fund (FWF) [P 33023]
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Adaptive isogeometric methods for the solution of partial differential equations rely on the construction of locally refinable spline spaces. A simple and efficient way to obtain these spaces is to apply the multi-level construction of hierarchical splines, that can be used on single-patch domains or in multi-patch domains with C-0 continuity across the patch interfaces. Due to the benefits of higher continuity in isogeometric methods, recent works investigated the construction of spline spaces with global C-1 continuity on two or more patches. In this paper, we show how these approaches can be combined with the hierarchical construction to obtain global C-1 continuous hierarchical splines on two-patch domains. A selection of numerical examples is presented to highlight the features and effectivity of the construction. (C) 2020 Elsevier Ltd. All rights reserved.
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