Nombre de documents
Michel MEHRENBERGER, born in 1977, married (3 children)
IRMA, Université de Strasbourg et CNRS
7, rue René Descartes
- Assistant Professor 2006-present, University of Strasbourg (France)
- INRIA researcher 2015-2016 (delegation), University of Strasbourg (France)
- Postdoctorate 2013-2014, Max-Planck Institute für Plasmaphysik, Garching (Germany)
- Half time CNRS researcher 2012-2013 (delegation), University of Strasbourg (France)
- Postdoctorate 2005-2006, Gamma Project, INRIA Rocquencourt (France)
- Invited researcher 2004/2005 (6 months), Università La Sapienza, Rome (Italy)
- Teaching assistant (ATER) 2004/2005 (6 months), University of Strasbourg (France)
- HDR thesis, 5.10.2012, University of Strasbourg (France)
"Ingham inequalities and numerical resolution of the Vlasov equation"
- PhD thesis, 15.12.2004, University of Strasbourg (France)
"Observability inequalities and adaptive resolution of the Vlasov equation with hierarchical finite elements"
Advisors: V. Komornik and E. Sonnendrücker
- Master 2 (2001), University of Strasbourg (France), "good" rating
- Agregation of Mathematics (2000), preparation in Strasbourg, rank: 174
- Master 1 (1999), University of Mulhouse (France), "good" rating
- CAPES of Mathematics (1999), rank: 6
- Licence (1998), University of Mulhouse (France), "very good" rating
- Numerical resolution of the Vlasov equation
- Semi-Lagrangian method
- High-order methods for PDEs
- Adaptive and multiscale schemes
- Large scale applications
- Plasma physics and gyrokinetics
- Numerical simulations
- Sotfware development
- Observability inequalities and non harmonic Fourier series
- Computer science:
- Fortran 90, Fortran 2003, C; some C++
- parallel computing: mpi, openmp; some cuda
- python, scilab, maple
- numerical analysis
- scientific computing
- control of PDEs
- French (native)
- English, German; some Italian
I am interested in developing, analysing and testing numerical schemes.
The favourite PDE is the Vlasov equation which is a kinetic equation involving the distribution function which gives the statistical repartition of particles at fixed time, position and velocity. This equation is coupled with Maxwell equations for the self consistant fields acting in space and time.
The favourite numerical scheme is the semi-Lagrangian method that needs ODE solvers and interpolators.
The favourite application is in plasma physics, related to the ITER project. In particular micro-instabilities in tokamaks are modelled by the gyrokinetic equation which is a reduced model of the Vlasov equation, where the fast gyration of the particles is averaged, leading to a series of 4D equations (3D in space, 1D in velocity).
Such studies involve the development and testing of adapted numerical schemes that can work in a HPC context. A mathematical study of the underlying schemes also permits to justify the behavor of the numerical solutions.
I am also interested in the development of software, and my favourite library is Selalib (http://selalib.gforge.inria.fr/).
I have also some input in control theory; there, my favourite method is to use Fourier series, more precisely Ingham type inequalities which are generalizations of the Parseval equality.