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Michel Mehrenberger

10
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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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Long-time behavior of second order linearized Vlasov-Poisson equations near a homogeneous equilibrium

Joackim Bernier , Michel Mehrenberger
Kinetic and Related Models , 2020, 13 (1), pp.129-168. ⟨10.3934/krm.2020005⟩
Article dans une revue hal-02070138v3
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Computing the double-gyroaverage term incorporating short-scale perturbation and steep equilibrium profile by the interpolation algorithm

Shuangxi Zhang , Michel Mehrenberger , Christophe Steiner
plasma, 2019, 2 (2), pp.91-126. ⟨10.3390/plasma2020009⟩
Article dans une revue hal-02009446v2
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Verification of 2D × 2D and two-species Vlasov-Poisson solvers

Yann A Barsamian , Joackim Bernier , Sever Adrian Hirstoaga , Michel Mehrenberger
ESAIM: Proceedings and Surveys, 2018, 63, pp.78-108. ⟨10.1051/proc/201863078⟩
Article dans une revue hal-01668744v1
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Field-aligned interpolation for semi-Lagrangian gyrokinetic simulations

Guillaume Latu , Michel Mehrenberger , Yaman Güçlü , Maurizio Ottaviani , Eric Sonnendrücker
Journal of Scientific Computing, 2018, 74 (3), pp.1601-1650. ⟨10.1007/s10915-017-0509-5⟩
Article dans une revue hal-01315889v3
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High-order Hamiltonian splitting for Vlasov-Poisson equations

Fernando Casas , Nicolas Crouseilles , Erwan Faou , Michel Mehrenberger
Numerische Mathematik, 2017, 135 (3), pp.769-801. ⟨10.1007/s00211-016-0816-z⟩
Article dans une revue hal-01206164v1
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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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Solving the guiding-center model on a regular hexagonal mesh

Michel Mehrenberger , Laura S. Mendoza , Charles Prouveur , Eric Sonnendrücker
ESAIM: Proceedings and Surveys, 2015, 53, pp.149-176. ⟨10.1051/proc/201653010⟩
Article dans une revue hal-01117196v3
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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