Venerdì 6 Novembre 2015, alle ore 10 precise, il Prof. Giancarlo Sangalli (Università di Pavia) presso la sala conferenze dell'IMATI-CNR di Pavia e in videoconferenza presso il Laboratoire Jacques Louis Lions di Parigi terrà un seminario dal titolo
C^1 ISOGEOMETRIC SPACES ON MULTIPATCH GEOMETRIES
nell'ambito del Seminario Franco-Italiano.
One key feature of isogeometric analysis is that it allows smooth shape functions. This is achieved by p-degree splines (and extensions, such as NURBS) that are globally up to C^(p-1)-continuous in each patch. However, global continuity beyond C^0 on so-called multi-patch geometries poses some significant difficulties. In this talk, I consider multi-patch domains that have a parametrization which is only C^0 at the patch interface. On such domains I consider the h-refinement of C^1-continuous isogeometric spaces. These spaces in general do not have optimal approximation properties. I will report the results of a recent work, in collaboration with Annabelle Collin and Thomas Takacs, where we develop the error theory and identify the class of geometry parametrizations that allow optimal order of convergence.
The French - Italian Seminar aims at illustrating and developing scientific collaborations between French and Italian researchers in the field of applied mathematics. It take places every first Friday (working day) of the month at 10 am in conference room of IMATI-CNR, Pavia with alternating a French speaker and an Italian one.