Tuesday, 21 May 2019, 3 p.m. (sharp),

Maya Briani, IAC-CNR, Roma

at the conference room of IMATI CNR in Pavia, will give a lecture titled:

Comparative study of multi-class traffic flow models with application to real data

and

at 4 p.m. (sharp),

Prof. Thomas Takacs, JKU, Linz

at the conference room of IMATI CNR in Pavia, will give a lecture titled:

C1 multi-patch discretizations and their application to isogeometric analysis

At the end a refreshment will be organized.

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Abstract Briani: We discuss mathematical models for multi-class traffic flows. Specifically, we analyze a fully macro model which take into account the differences between fast vehicles and slow vehicles including their different free-flow speeds and critical densities. The model is calibrated and tested on real data given by Autovie Venete.

Abstract Takacs: 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.