title: MatchedGk-constructions always yieldCk-continuous isogeometric elements.
abstract: Gk(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 matchedGkconstructions for geometry and analysis automatically yieldCkisogeometric elements. This provides a formal framework for the existing and any future isogeometric elements based on geometric continuity.
authors.affiliation: University of Florida, United States.
authors.forename: David
authors.initials: D
authors.lastname: Groisser
authors.affiliation: University of Florida, United States.
authors.forename: Jörg
authors.initials: J
authors.lastname: Peters
keywords: Extraordinary point; Geometric continuity; Irregular point; Isogeometric element; Isoparametric element; Star point