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Michel Mehrenberger

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Présentation

Identification ============== Michel MEHRENBERGER, born in 1977, married (3 children) IRMA, Université de Strasbourg et CNRS 7, rue René Descartes F-67084 Strasbourg mehrenbe\[AT\]math.unistra.fr tel:+33(0)3.68.85.02.05 Office: P225 Professional experience ======================= - 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) Education ========= - 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 Research interests ================== - 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 Skills ====== - Computer science: - Fortran 90, Fortran 2003, C; some C++ - parallel computing: mpi, openmp; some cuda - python, scilab, maple - Mathematics: - numerical analysis - scientific computing - control of PDEs - Language: - 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.

Publications

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Guiding center simulations on curvilinear grids

Adnane Hamiaz , Michel Mehrenberger , Aurore Back , Pierre Navaro
ESAIM: Proceedings, 2016, 53, pp.99-119. ⟨10.1051/proc/201653007⟩
Article dans une revue hal-00908500v3
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A 5D gyrokinetic full-f global semi-lagrangian code for flux-driven ion turbulence simulations

Virginie Grandgirard , Jérémie Abiteboul , Julien Bigot , Thomas Cartier-Michaud , Nicolas Crouseilles
Computer Physics Communications, 2016, 207, pp.35-68. ⟨10.1016/j.cpc.2016.05.007⟩
Article dans une revue cea-01153011v3
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A new fully two-dimensional conservative semi-Lagrangian method: applications on polar grids, from diocotron instability to ITG turbulence

Nicolas Crouseilles , Pierre Glanc , Sever Adrian Hirstoaga , Eric Madaule , Michel Mehrenberger
The European Physical Journal D : Atomic, molecular, optical and plasma physics, 2014, 68 (9), DOI: 10.1140/epjd/e2014-50180-9. ⟨10.1140/epjd/e2014-50180-9⟩
Article dans une revue hal-00977342v2
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Simulations of Kinetic Electrostatic Electron Nonlinear (KEEN) Waves with Variable Velocity Resolution Grids and High-Order Time-Splitting

Bedros Afeyan , Fernando Casas , Nicolas Crouseilles , Adila Dodhy , Erwan Faou
The European Physical Journal D : Atomic, molecular, optical and plasma physics, 2014, 68 (10), DOI: 10.1140/epjd/e2014-50212-6. ⟨10.1140/epjd/e2014-50212-6⟩
Article dans une revue hal-00977344v2
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Vlasov on GPU (VOG Project)

Luca Marradi , Bedros Afeyan , Michel Mehrenberger , Nicolas Crouseilles , Christophe Steiner
ESAIM: Proceedings, 2013, 43, p. 37-58. ⟨10.1051/proc/201343003⟩
Article dans une revue hal-00908498v1
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Finite Volume Schemes for Vlasov

Nicolas Crouseilles , Pierre Glanc , Michel Mehrenberger , Christophe Steiner
ESAIM: Proceedings, 2012, CEMRACS'11: Multiscale Coupling of Complex Models in Scientific Computing, 38, pp.275-297. ⟨10.1051/proc/201238015⟩
Article dans une revue hal-00653038v1
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Enhanced convergence estimates for semi-lagrangian schemes Application to the Vlasov-Poisson equation

Frédérique Charles , Bruno Després , Michel Mehrenberger
SIAM Journal on Numerical Analysis, 2011, ⟨10.1137/110851511⟩
Article dans une revue inria-00629081v1

Conservative Semi-Lagrangian solvers on mapped meshes

Michel Mehrenberger , Morgane Bergot , Virginie Grandgirard , Guillaume Latu , Hocine Sellama
ICOPS International Conference on Plasma Science, Jul 2012, Edinburgh, United Kingdom. 2012, ⟨10.1109/PLASMA.2012.6383972⟩
Poster de conférence hal-00759823v1