C1 multi-patch discretizations and their application to isogeometric analysis
Prof. Thomas Takacs, JKU, Linz
Sala conferenze IMATI-CNR, Pavia – Martedì 21 Maggio 2019 h.16:00
Abstract. In this talk we discuss the construction of C1 discretizations over multi-patch spline parametrizations. Such smooth spaces over multi-patch parametrizations are in general not suitable for isogeometric analysis, as the C1 constraints lead to overconstraining at the interfaces. To obtain optimal approximation properties using standard isogeometric spaces, the parametrization needs to fulfill additional conditions, so-called analysis-suitable G1 conditions.
We discuss the construction of analysis-suitable G1 isogeometric spaces, for a single interface as well as over a general multi-patch domain. When considering the full multi-patch case, we define a supersmooth space, which is C2 at all vertices, similar to the Argyris finite element construction.
We moreover discuss and compare the multi-patch approach with possible alternatives, such as manifold based constructions, G-splines and other splines over unstructured meshes.