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

@article{Collin2016AnalysissuitableGM,
  title={Analysis-suitable G1 multi-patch parametrizations for C1 isogeometric spaces},
  author={Annabelle Collin and Giancarlo Sangalli and Thomas Takacs},
  journal={Computer Aided Geometric Design},
  year={2016},
  volume={47},
  pages={93-113}
}
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… CONTINUE READING

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