Michel Mehrenberger
UDS-IRMA
7, rue Rene Descartes
67084 Strasbourg
FRANCE
+33(0)3 68 85 02 05
mehrenbe@math.unistra.fr
bureau 225, batiment math

ENSEIGNEMENT

DOMAINES DE RECHERCHE

PUBLICATIONS

COMMUNICATIONS

APOGEE

LIENS


Enseignement 2011-2012


[1] [poly] Calcul Formel et Simulation Numerique L2S3 LPA/MPC
Groupe mercredi A+D [1] [2] [3] [4]
Groupe vendredi MPC [1] [2] [3] [4]
Groupe lundi C+E (C. Steiner) [1] [2] [3] [4]

[2] [poly] Mathematical Methods for Physics, M1 MNI

[3] Analyse Numerique ENSIIE

[4] [poly] Analyse Numerique L2S4P

[5] Optimisation non lineaire L3S6 Math-Eco


Domaines de recherche


Analyse non harmonique, observabilite

Methodes semi-lagrangiennes, interpolation d'un maillage a l'autre

Adaptation de maillage

Resolution numerique de l'equation de Vlasov


Publications


These

[T] M. Mehrenberger, Inegalites d'observabilite et resolution adaptative de l'equation de Vlasov par elements finis hierarchiques, These ULP, Strasbourg I (2004).


HDR

M. Mehrenberger, Inegalites d'Ingham et schemas semi-lagrangiens pour l'equation de Vlasov, in progress!


Articles de journaux

[A11] N. Crouseilles, M. Mehrenberger, H. Sellama, Numerical solution of the gyroaverage operator for the finite gyroradius guiding-center model, CiCP 8, pp. 484-510, (2010).

[A10] F. Alauzet, M. Mehrenberger, P1-conservative solution interpolation on unstructured triangular meshes, Int. J. Numer. Meth. Engng, Volume 84, Issue 13, 24 December 2010.

[A9] K. Ammari, M. Mehrenberger, Study of the nodal feedback stabilization of a string-beams network, Journal of Applied Mathematics and Computing 36 (2011) no 1--2, 441--458.

[A8] N. Crouseilles, M. Mehrenberger, E. Sonnendrucker, Conservative semi-Lagrangian schemes for Vlasov equations, Journal of Computational Physics 229 (2010), 1927--1953.

[A7] M. Mehrenberger, An Ingham type proof for the boundary observability of a N-d wave equation, C. R. Math. Acad. Sci. Paris 347 (2009), no. 1-2, 63--68.

[A6] K. Ammari, M. Mehrenberger, Stabilization of coupled systems, Acta Math. Hungar. 123 (2009), no. 1-2, 1--10.

[A5] K. Ammari, M. Jellouli, M. Mehrenberger, Feedback stabilization of a coupled string-beam system, Netw. Heterog. Media 4 (2009), no. 1, 19--34.

[A4] P. Loreti, M. Mehrenberger, An Ingham type proof for a two-grid observability theorem, ESAIM Control Optim. Calc. Var. 14 (2008), no. 3, 604--631.

[A3] M. Campos Pinto, M. Mehrenberger, Convergence of an Adaptive Scheme for the one dimensional Vlasov-Poisson system, Numer. Math. 108 (2008), no. 3, 407--444.

[A2] M. Mehrenberger, N. Besse, Convergence of classes of high order semi-Lagrangian schemes for the Vlasov equation, Math. of Comp.77 (2008), 93-123.

[A1] M. Mehrenberger, Critical length for a Beurling type theorem, Bollettino U.M.I. (8) 8-B (2005), 251--258.

[A0] M. Mehrenberger, Observability of coupled systems, Acta. Mat. Hungar. 103 (4) (2004), 321--348.


Proceedings

[P7] J. P. Braeunig, N. Crouseilles, M. Mehrenberger, E. Sonnendrucker, Guiding-center simulations on curvilinear meshes, Discrete and Continuous Dynamical Systems Series S, Volume 5, Number 3, June 2012

[P6] N. Crouseilles, M. Mehrenberger, F. Vecil, Discontinuous Galerkin semi-Lagrangian method for Vlasov-Poisson, ESAIM Proc, CEMRACS 2010, to appear.

[P5] A. Barhoumi,V. Komornik, M. Mehrenberger, A vectorial Ingham-Beurling type theorem, special issue of the journal Annales Univ. Sci. Budapest, dedicated to Professor Laszlo Simon on the occasion of his 70th birthday, Vol 53 (2010), 17--32.

[P4] P. Loreti, M. Mehrenberger, Observabilite uniforme de l'equation des ondes 1D [Uniform observability of the 1D wave equation], Paris-Sud Working Group on Modelling and Scientific Computing 2007--2008, 68--79, ESAIM Proc., 25, EDP Sci., Les Ulis, 2008.

[P3] M. Mehrenberger, E. Violard, A Hermite type adaptive semi-Lagrangian scheme, Int. J. Appl. Math. Comput. Sci., 17 (3) (2007), 329--334.

[P2] M. Mehrenberger, E. Violard, O. Hoenen, M. Campos Pinto, E. Sonnendrucker, A Parallel Adaptive Vlasov Solver Based on Hierarchical Finite Element Interpolation, Proceedings ICAP2004 St-Petersburg, Nuclear Inst. and Methods in Physics Research, A 558 (2006), 188--191.

[P1] O. Hoenen, M. Mehrenberger, E. Violard, Parallelization of an Adaptive Vlasov Solver, ParSim04 proceedings, Lecture Notes in Computer Science, 3241 (2004), 430--435.

[P0] M. Campos Pinto, M. Mehrenberger, Adaptive numerical resolution of the Vlasov equation, Numerical Methods for Hyperbolic and Kinetic Problems, CEMRACS 2003/IRMA Lectures in Mathematics and Theoretical Physics 7, 43--58.


Prepublications et rapports

[S4] N. Crouseilles, P. Glanc, M. Mehrenberger, C. Steiner Finite Volume Schemes for Vlasov, hal-00653038, version 1, December 2011.

[S3] N. Crouseilles, E. Faou, M. Mehrenberger, High order Runge-Kutta-Nystrom splitting methods for the Vlasov-Poisson equation, inria-00633934, version 1, October 2011.

[S2] F. Charles, B. Despres, M. Mehrenberger, Enhanced convergence estimates for semi-lagrangian schemes Application to the Vlasov-Poisson equation, inria-00629081, version 1, October 2011.

[S1] J. Guterl, J. P. Braeunig, N. Crouseilles, V. Grandgirard, G. Latu, M. Mehrenberger, E. Sonnendrucker, Test of some numerical limiters for the conservative PSM scheme for 4D Drift-Kinetic simulations, INRIA research report number 7467, November 2010.

[S0] J. P. Braeunig, N. Crouseilles, V. Grandgirard, G. Latu, M. Mehrenberger, E. Sonnendrucker, Some numerical aspects of the conservative PSM scheme in a 4D drift-kinetic code, INRIA research report number 7109, November 2009.


Communications 2010 et 2011


[1] Resolution numerique de l'operateur de gyromoyenne, Congres d'Analyse Numerique, Carcans-Maubuisson, Gironde, 31 mai-4 juin 2010.

[2] Vectorial Ingham-Beurling type estimates, Workshop Besancon, june 14-17, 2010.

[3] Vlasov-Poisson en Crouch, Expose CALVI, Nancy, 24 juin 2010.

[4] Methodes semi-lagrangiennes conservatives pour la resolution numerique de l'equation de Vlasov, Seminaires GT ITER et ANEDP, Paris VI, le 6 et Orsay, le 13 janvier 2011.

[5] Splitting d'ordre 4 pour Vlasov-Poisson, Guidel, Congres SMAI, le 26 mai 2011.


Apogee 2010-2011


[1] Structure des enseignements (fichier texte)

[2] Structure des enseignements-Modalites de Collecte (fichiers apomod et pdf)


Liens


[1] Marie-Elise