Analysis-suitable G1 multi-patch parametrizations for C1 isogeometric spaces

A Collin, G Sangalli, T Takacs - Computer Aided Geometric Design, 2016 - Elsevier
One key feature of isogeometric analysis is that it allows smooth shape functions. Indeed,
when isogeometric spaces are constructed from p-degree splines (and extensions, such as
NURBS), they enjoy up to C p− 1 continuity within each patch. However, global continuity
beyond C 0 on so-called multi-patch geometries poses some significant difficulties. In this
work, we consider planar multi-patch domains that have a parametrization which is only C 0
at the patch interface. On such domains we study the h-refinement of C 1-continuous …
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