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- W2911699118 abstract "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." @default.
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- W2911699118 date "2019-01-28" @default.
- W2911699118 modified "2023-10-07" @default.
- W2911699118 title "Isogeometric analysis with $C^1$ hierarchical functions on planar two-patch geometries" @default.
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