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Michel Mehrenberger

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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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Observability of a string-beams network with many beams

Anna Chiara Lai , Paola Loreti , Michel Mehrenberger
ESAIM: Control, Optimisation and Calculus of Variations, 2023, 29, pp.61. ⟨10.1051/cocv/2023054⟩
Journal articles hal-04175250v1
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Highly accurate monotonicity-preserving Semi-Lagrangian scheme for Vlasov-Poisson Simulations

C Yang , Michel Mehrenberger
Journal of Computational Physics, inPress, ⟨10.1016/j.jcp.2021.110632⟩
Journal articles hal-03126595v2
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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⟩
Journal articles hal-02070138v3
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Recurrence phenomenon for Vlasov-Poisson simulations on regular finite element mesh

Michel Mehrenberger , Laurent Navoret , Nhung Pham
Communications in Computational Physics, 2020, ⟨10.4208/cicp.OA-2019-0022⟩
Journal articles hal-01942708v1
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STABILITY OF SEMI-LAGRANGIAN SCHEMES OF ARBITRARY ODD DEGREE UNDER CONSTANT AND VARIABLE ADVECTION SPEED

Roberto Ferretti , Michel Mehrenberger
Mathematics of Computation, inPress, ⟨10.1090/mcom/3494⟩
Journal articles hal-02302625v1
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InKS, a Programming Model to Decouple Algorithm from Optimization in HPC Codes

Ksander Ejjaaouani , Olivier Aumage , Julien Bigot , Michel Mehrenberger , Hitoshi Murai
Journal of Supercomputing, 2019, ⟨10.1007/s11227-019-02950-2⟩
Journal articles hal-02281963v1
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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⟩
Journal articles hal-02009446v2
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High-order implicit palindromic discontinuous Galerkin method for kinetic-relaxation approximation

David Coulette , Emmanuel Franck , Philippe Helluy , Michel Mehrenberger , Laurent Navoret
Computers and Fluids, 2019, 190, pp.485--502. ⟨10.1016/j.compfluid.2019.06.007⟩
Journal articles hal-01706614v1
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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⟩
Journal articles hal-01315889v3
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Targeting realistic geometry in Tokamak code Gysela *

Nicolas Bouzat , Camilla Bressan , Virginie Grandgirard , Guillaume Latu , Michel Mehrenberger
ESAIM: Proceedings and Surveys, 2018, ⟨10.1051/proc/201863179⟩
Journal articles hal-01653022v1
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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⟩
Journal articles hal-01668744v1
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Numerical stability of plasma sheath

Mehdi Badsi , Michel Mehrenberger , Laurent Navoret
ESAIM: Proceedings and Surveys, 2018, ⟨10.1051/proc/201864017⟩
Journal articles hal-01676656v1
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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⟩
Journal articles hal-01206164v1
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The semi-Lagrangian method on curvilinear grids

Adnane Hamiaz , Michel Mehrenberger , Hocine Sellama , Eric Sonnendrücker
Communications in Applied and Industrial Mathematics, 2016, ⟨10.1515/caim-2016-0024⟩
Journal articles hal-01213366v1
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Optimization of the gyroaverage operator based on hermite interpolation

Fabien Rozar , Christophe Steiner , Guillaume Latu , Michel Mehrenberger , Virginie Grandgirard
ESAIM: Proceedings and Surveys, 2016, ⟨10.1051/proc/201653012⟩
Journal articles hal-01261427v1
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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⟩
Journal articles cea-01153011v3
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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⟩
Journal articles 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⟩
Journal articles hal-01117196v3
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Gyroaverage operator for a polar mesh

Christophe Steiner , Michel Mehrenberger , Nicolas Crouseilles , Virginie Grandgirard , Guillaume Latu
The European Physical Journal D : Atomic, molecular, optical and plasma physics, 2015, 69 (1), pp.221. ⟨10.1140/epjd/e2014-50211-7⟩
Journal articles hal-01090681v1
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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⟩
Journal articles hal-00977344v2
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Improving conservation properties in a 5D gyrokinetic semi-Lagrangian code

Guillaume Latu , Virginie Grandgirard , Jérémie Abiteboul , Nicolas Crouseilles , Guilhem Dif-Pradalier
The European Physical Journal D : Atomic, molecular, optical and plasma physics, 2014, 68 (11), pp.345. ⟨10.1140/epjd/e2014-50209-1⟩
Journal articles hal-00966162v1
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Optimal decay rates for the stabilization of a string network

Mohamed Jellouli , Michel Mehrenberger
Comptes Rendus. Mathématique, 2014, ⟨10.1016/j.crma.2014.03.023⟩
Journal articles hal-00977345v1
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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⟩
Journal articles hal-00977342v2
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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⟩
Journal articles 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⟩
Journal articles hal-00653038v1
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Discontinuous Galerkin semi-Lagrangian method for Vlasov-Poisson

Nicolas Crouseilles , Michel Mehrenberger , Francesco Vecil
ESAIM: Proceedings, 2011, CEMRACS 2010, pp.21. ⟨10.1051/proc/2011022⟩
Journal articles hal-00544677v1

Study of the nodal feedback stabilization of a string-beams network

Kaïs Ammari , Michel Mehrenberger
Journal of Applied Mathematics and Computing, 2011, ⟨10.1007/s12190-010-0412-9⟩
Journal articles hal-01298967v1
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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⟩
Journal articles inria-00629081v1

Numerical solution of the gyroaverage operator for the finite gyroradius guiding-center model.

Nicolas Crouseilles , Michel Mehrenberger , Hocine Sellama
Communications in Computational Physics, 2010, 8 (3), pp.484-510. ⟨10.4208/cicp.010909.220110a⟩
Journal articles inria-00507301v1
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Conservative semi-Lagrangian schemes for Vlasov equations

Nicolas Crouseilles , Michel Mehrenberger , Eric Sonnendrücker
Journal of Computational Physics, 2010, pp.1927-1953. ⟨10.1016/j.jcp.2009.11.007⟩
Journal articles hal-00363643v1
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P1-conservative solution interpolation on unstructured triangular meshes

Frédéric Alauzet , Michel Mehrenberger
International Journal for Numerical Methods in Engineering, 2010, pp.48. ⟨10.1002/nme.2951⟩
Journal articles inria-00354509v1

A vectorial Ingham-Beurling type theorem

Alia Barhoumi , Vilmos Komornik , Michel Mehrenberger
Annales Universitatis Scientiarium Budapestinensis de Rolando Eötvös Nominatae Sectio Mathematica, 2010, www.cs.elte.hu/~annalesm/vol53trt.pdf. ⟨10.1023/a:1020806811956⟩
Journal articles hal-01298976v1

Feedback stabilization of a coupled string-beam system

Kaïs Ammari , Mohamed Jellouli , Michel Mehrenberger
Networks and Heterogeneous Media, 2009, ⟨10.3934/nhm.2009.4.19⟩
Journal articles hal-01298964v1

Stabilization of coupled systems

Kaïs Ammari , Michel Mehrenberger
Acta Mathematica Hungarica, 2009, ⟨10.1007/s10474-009-8011-7⟩
Journal articles hal-01298966v1
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An Ingham type proof for the boundary observability of a N-d wave equation

Michel Mehrenberger
Comptes Rendus. Mathématique, 2009, ⟨10.1016/j.crma.2008.11.002⟩
Journal articles hal-00311730v1

An Ingham type proof for a two-grid observability theorem

Paola Loreti , Michel Mehrenberger
ESAIM: Control, Optimisation and Calculus of Variations, 2008, ⟨10.1051/cocv:2007062⟩
Journal articles hal-01298963v1

Observabilite uniforme de l'equation des ondes 1D

Paola Loreti , Michel Mehrenberger
ESAIM: Proceedings, 2008, ⟨10.1051/proc:082505⟩
Journal articles hal-01298974v1

Convergence of classes of high-order semi-Lagrangian schemes for the Vlasov-Poisson system

Nicolas Besse , Michel Mehrenberger
Mathematics of Computation, 2008, 77 (261), pp.93-123. ⟨10.1090/S0025-5718-07-01912-6⟩
Journal articles hal-00594785v1

Convergence of an adaptive semi-Lagrangian scheme for the Vlasov-Poisson system

Martin Campos Pinto , Michel Mehrenberger
Numerische Mathematik, 2007, 108 (3), pp.407-444. ⟨10.1007/s00211-007-0120-z⟩
Journal articles hal-00320364v1
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A Hermite type adaptive semi-Lagrangian scheme

Michel Mehrenberger , Eric Violard
International Journal of Applied Mathematics and Computer Science, 2006, ⟨10.2478/v10006-007-0027-y⟩
Journal articles inria-00110865v1
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A Parallel Adaptive Vlasov Solver Based on Hierarchical Finite Element Interpolation

Michel Mehrenberger , Eric Violard , Olivier Hoenen , Martin Campos Pinto , Eric Sonnendrücker
Nuclear Instruments and Methods in Physics Research, 2006, Proceedings of the 8th International Computational Accelerator Physics Conference - ICAP 2004, 558 (1), pp.188-191. ⟨10.1016/j.nima.2005.11.225⟩
Journal articles inria-00111165v1
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Critical length for a Beurling type theorem

Michel Mehrenberger
Bollettino dell'Unione Matematica Italiana, 2005, 8, http://www.bdim.eu/item?id=BUMI_2005_8_8B_1_251_0
Journal articles hal-00139352v1

Observability of coupled systems

Michel Mehrenberger
Acta Mathematica Hungarica, 2004, 4 (103), pp.321-348. ⟨10.1023/B:AMHU.0000028832.47891.09⟩
Journal articles hal-00139351v1
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Efficient Strict-Binning Particle-in-Cell Algorithm for Multi-Core SIMD Processors

Yann A Barsamian , Arthur Charguéraud , Sever Adrian Hirstoaga , Michel Mehrenberger
Euro-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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InKS, a Programming Model to Decouple Performance from Algorithm in HPC Codes

Ksander Ejjaaouani , Olivier Aumage , Julien Bigot , Michel Mehrenberger , Hitoshi Murai
Repara 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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Palindromic Discontinuous Galerkin Method

David Coulette , Emmanuel Franck , Philippe Helluy , Michel Mehrenberger , Laurent Navoret
Finite 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 Series

Vilmos Komornik , Paola Loreti , Michel Mehrenberger
27th 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 meshes

Jean-Philippe Braeunig , Nicolas Crouseilles , Michel Mehrenberger , Eric Sonnendrücker
Numerical 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 Beams

Michaël Gutnic , Michel Mehrenberger , Eric Sonnendrücker , Olivier Hoenen , Guillaume Latu
ICAP 2006, Oct 2006, Chamonix, France
Conference papers hal-01300207v1

Parallelization of an Adaptive Vlasov Solver

Olivier Hoenen , Michel Mehrenberger , Eric Violard
EuroPMV/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 solver

Laurent Navoret , Michel Mehrenberger
Collisionless 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 Simulations

Michel Mehrenberger , Nicolas Crouseilles , Eric Sonnendrücker , Bedros Afeyan
PPPS, Jun 2013, San Francisco, United States. ⟨10.1109/PLASMA.2013.6634958⟩
Conference poster hal-01298979v1

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⟩
Conference poster hal-00759823v1

Berk-Breizman and diocotron instability testcases

Michel Mehrenberger , Nicolas Crouseilles , Virginie Grandgirard , Sever Adrian Hirstoaga , Eric Madaule
AMVV Algorithm and Model Verification and Validation, Nov 2012, East-Lansing, United States
Conference poster hal-01298988v1
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Résolution numérique de l'opérateur de gyromoyenne

Nicolas Crouseilles , Michel Mehrenberger , Hocine Sellama
CANUM, May 2010, Carcans-Maubuisson, France
Conference poster hal-01298977v1

High order semi Lagrangian schemes

Michel Mehrenberger
Atelier 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

Adaptive numerical resolution of the Vlasov equation.

Martin Campos Pinto , Michel Mehrenberger
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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Semi-Lagrangian Vlasov-Poisson solvers with a strong external uniform magnetic field

Anh-Tuan Vu , Michel Mehrenberger
2023
Preprints, Working Papers, ... hal-04016348v2
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InKS, a programming model to decouple performance from semantics in simulation codes

Olivier Aumage , Julien Bigot , Ksander Ejjaaouani , Michel Mehrenberger
2017
Preprints, Working Papers, ... cea-01493075v1
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Palindromic discontinuous Galerkin method for kinetic equations with stiff relaxation

David Coulette , Emmanuel Franck , Philippe Helluy , Michel Mehrenberger , Laurent Navoret
2016
Preprints, Working Papers, ... hal-01422922v1
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Quasi-neutrality equation in a polar mesh

Christophe Steiner , Michel Mehrenberger , Nicolas Crouseilles , Philippe Helluy
2015
Preprints, Working Papers, ... hal-01248179v1
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A semi-Lagrangian discontinuous Galerkin convergence

Christophe Steiner , Michel Mehrenberger , Daniel Bouche
2013
Preprints, Working Papers, ... hal-00852411v1
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A Discontinuous Galerkin semi-Lagrangian solver for the guiding-center problem

Nicolas Crouseilles , Michel Mehrenberger , Francesco Vecil
2012
Preprints, Working Papers, ... hal-00717155v1
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High order Runge-Kutta-Nyström splitting methods for the Vlasov-Poisson equation

Nicolas Crouseilles , Erwan Faou , Michel Mehrenberger
2011
Preprints, Working Papers, ... inria-00633934v1
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Some numerical aspects of the conservative PSM scheme in a 4D drift-kinetic code.

Jean-Philippe Braeunig , Nicolas Crouseilles , Virginie Grandgirard , Guillaume Latu , Michel Mehrenberger
2011
Preprints, Working Papers, ... inria-00435203v2
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Inégalités d'Ingham et schémas semi-lagrangiens pour l'équation de Vlasov

Michel Mehrenberger
Equations aux dérivées partielles [math.AP]. Université de Strasbourg, 2012
Habilitation à diriger des recherches tel-00735678v1