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Michel Mehrenberger
71
Documents
Researcher identifiers
michel-mehrenberger
- ResearcherId : R-6664-2017
- IdRef : 09506057X
-
0000-0001-6376-409X
- Google Scholar : https://scholar.google.fr/citations?user=CPzx7e8AAAAJ&hl=fr&oi=ao
Presentation
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
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- 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
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- 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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InKS, a Programming Model to Decouple Performance from Algorithm in HPC CodesRepara 2018 - 4th International Workshop on Reengineering for Parallelism in Heterogeneous Parallel Platforms, Aug 2018, Turin, Italy. pp.1-12, ⟨10.1007/978-3-030-10549-5_59⟩
Conference papers
hal-01890132v1
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Efficient Strict-Binning Particle-in-Cell Algorithm for Multi-Core SIMD ProcessorsEuro-Par 2018 - 24th International European Conference on Parallel and Distributed Computing, Aug 2018, Turin, Italy. ⟨10.1007/978-3-319-96983-1_53⟩
Conference papers
hal-01890318v1
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Palindromic Discontinuous Galerkin MethodFinite volumes for complex applications VIII—hyperbolic, elliptic and parabolic problems, Jun 2017, Lille, France. pp.6, ⟨10.1007/978-3-319-57394-6_19⟩
Conference papers
hal-01653049v1
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Observability of a Ring Shaped Membrane via Fourier Series27th IFIP Conference on System Modeling and Optimization (CSMO), Jun 2015, Sophia Antipolis, France. pp.322-330, ⟨10.1007/978-3-319-55795-3_30⟩
Conference papers
hal-01626896v1
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Guiding-center simulations on curvilinear meshesNumerical Models for Controlled Fusion (NMCF09), 2009, Porquerolles, France. pp.271-282, ⟨10.3934/dcdss.2012.5.271⟩
Conference papers
hal-01298727v1
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Adaptive 2-D Vlasov Simulation of Particle BeamsICAP 2006, Oct 2006, Chamonix, France
Conference papers
hal-01300207v1
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Parallelization of an Adaptive Vlasov SolverEuroPMV/MPI, 2004, Budapest, Hungary. ⟨10.1007/978-3-540-30218-6_59⟩
Conference papers
hal-01298972v1
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About recurrence time for a semi-Lagrangian discontinuous Galerkin Vlasov solverCollisionless Boltzmann (Vlasov) Equation and Modeling of Self-Gravitating Systems and Plasmas, Oct 2017, Marseille, France
Conference poster
hal-01653023v1
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High-Order Numerical Methods for KEEN Wave Vlasov-Poisson SimulationsPPPS, Jun 2013, San Francisco, United States. ⟨10.1109/PLASMA.2013.6634958⟩
Conference poster
hal-01298979v1
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Berk-Breizman and diocotron instability testcasesAMVV Algorithm and Model Verification and Validation, Nov 2012, East-Lansing, United States
Conference poster
hal-01298988v1
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Conservative Semi-Lagrangian solvers on mapped meshesICOPS International Conference on Plasma Science, Jul 2012, Edinburgh, United Kingdom. 2012, ⟨10.1109/PLASMA.2012.6383972⟩
Conference poster
hal-00759823v1
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Résolution numérique de l'opérateur de gyromoyenneCANUM, May 2010, Carcans-Maubuisson, France
Conference poster
hal-01298977v1
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High order semi Lagrangian schemesAtelier du GdR CHANT sur les méthodes numériques pour les équations cinétiques, hyperboliques et de Hamilton-Jacobi, Nov 2005, Strasbourg, France. , 2005
Conference poster
hal-01298992v1
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Adaptive numerical resolution of the Vlasov equation.Numerical Methods for Hyperbolic and Kinetic Problems, 7, EMS, pp 43--58, 2005, IRMA Lectures in Mathematics and Theoretical Physics, ⟨10.4171/012-1/3⟩
Book sections
hal-00137877v1
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Aligned interpolation and application to drift kinetic semi-Lagrangian simulations with oblique magnetic field in cylindrical geometry[Research Report] IRMA. 2014
Reports
hal-01098373v1
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Semi-Lagrangian simulations of the diocotron instability[Research Report] 2013
Reports
hal-00841504v1
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Accuracy of unperturbed motion of particles in a gyrokinetic semi-Lagrangian code[Research Report] RR-8054, INRIA. 2012, pp.17
Reports
hal-00727118v1
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Test of some numerical limiters for the conservative PSM scheme for 4D Drift-Kinetic simulations.[Research Report] RR-7467, INRIA. 2010, pp.66
Reports
inria-00540948v1
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Convergence of an Adaptive Scheme for the one dimensional Vlasov-Poisson system[Research Report] RR-5519, INRIA. 2005, pp.49
Reports
inria-00070487v1
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Inégalites d'observabilité et résolution adaptative de l'équation de Vlasov par éléments finis hiérarchiquesInformatique [cs]. Université Louis Pasteur - Strasbourg I, 2004. Français. ⟨NNT : 2004STR13124⟩
Theses
tel-00008254v1
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Inégalités d'Ingham et schémas semi-lagrangiens pour l'équation de VlasovEquations aux dérivées partielles [math.AP]. Université de Strasbourg, 2012
Habilitation à diriger des recherches
tel-00735678v1
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