Hyperbolic problems: a new point of view
On Friday, November 25, at 11:30, in Sala Consiglio of Dept. Aerospace Science and Technology
Seminar by prof. Rémi Abgrall
Professor Rémi Abgrall, from Univeristy of Zürich, is giving the seminar
A discussion on conservation for hyperbolic problems: a new point of view, some applications.
The seminar is open to all, but we kindly ask you to register at: https://tinyurl.com/SeminarAbgrall
Traditionally, conservation in numerical schemes is seen at the level of faces defined from the mesh, by the numerical scheme. For example, in finite volume methods, we define a control volume, and we look at the conservation on the boundary of the control volume.
This point of view has been very successful, but one can also define another point of view, that contains the previous one, but is richer. This viewpoint will be described and two applications that lead to nonstandard patterns will be shown.
Rémi Abgrall is a professor of scientific computing and the Head of the Institute of Mathematics at the University of Zürich, Switzerland.
As an author of more than 100 papers, he is an internationally recognized expert in the field of numerical schemes for compressible flows, non-conservative hyperbolic problems, and Hamilton-Jacobi equations.
He is part of the editorial board of different international journals, and he has been the editor-in-chief of the Journal of Computational Physics since 2015.
His research has been supported by several national and international grants, such as the Advanced ERC Grant in 2008, the SNSF (Swiss National Science Foundation) Project funding in 2014 and 2017, and participation in the MSCA-ITN-2014 ModCompShock.
He was elected as a Fellow of the Society for Industrial and Applied Mathematics, in the 2022 Class of SIAM Fellows, "for fundamental contributions to the development of numerical methods for conservation laws, in particular for multi-fluid flows and residual distribution schemes".
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