Matched G(k)-constructions always yield C-k-continuous isogeometric elements

作者：Groisser David; Peters Joerg^*

来源：Computer Aided Geometric Design, 2015, 34: 67-72.

DOI：10.1016/j.cagd.2015.02.002

• Geometric continuity
• Isogeometric element
• Extraordinary point
• Star point
• Irregular point
• Isoparametric element

G(k) (geometrically continuous surface) constructions were developed to create surfaces that are smooth also at irregular points where, in a quad-mesh, three or more than four elements come together. Isogeometric elements were developed to unify the representation of geometry and of engineering analysis. We show how matched G(k) constructions for geometry and analysis automatically yield C-k isogeometric elements. This provides a formal framework for the existing and any future isogeometric elements based on geometric continuity.

• 出版日期2015-3