Michel Mehrenberger

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Publications

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Local cubic spline interpolation for Vlasov-type equations on a multi-patch geometry

Pauline Vidal , Emily Bourne , Virginie Grandgirard , Michel Mehrenberger , Eric Sonnendrücker

Journal of Scientific Computing, 2026, 106, pp.58

Article dans une revue hal-05119228v2
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High order numerical methods for Vlasov-Poisson models of plasma sheaths

Valentin Ayot , Mehdi Badsi , Yann Barsamian , Anaïs Crestetto , Nicolas Crouseilles et al.

ESAIM: Proceedings and Surveys, 2024, 77, pp.229-248. ⟨10.1051/proc/202477229⟩

Article dans une revue hal-03926305v1
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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⟩

Article dans une revue hal-04175250v1
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Non-Uniform Splines for Semi-Lagrangian Kinetic Simulations of the Plasma Sheath

Emily Bourne , Yann Munschy , Virginie Grandgirard , Michel Mehrenberger , Philippe Ghendrih

Journal of Computational Physics, 2023, 488, pp.112229. ⟨10.1016/j.jcp.2023.112229⟩

Article dans une revue cea-03748016v1
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Highly accurate monotonicity-preserving Semi-Lagrangian scheme for Vlasov-Poisson Simulations

C Yang , Michel Mehrenberger

Journal of Computational Physics, In press, ⟨10.1016/j.jcp.2021.110632⟩

Article dans une revue hal-03126595v2
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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⟩

Article dans une revue hal-01942708v1
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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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STABILITY OF SEMI-LAGRANGIAN SCHEMES OF ARBITRARY ODD DEGREE UNDER CONSTANT AND VARIABLE ADVECTION SPEED

Roberto Ferretti , Michel Mehrenberger

Mathematics of Computation, In press, ⟨10.1090/mcom/3494⟩

Article dans une revue 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 et al.

Journal of Supercomputing, 2019, ⟨10.1007/s11227-019-02950-2⟩

Article dans une revue hal-02281963v1
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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⟩

Article dans une revue hal-01706614v1
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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⟩

Article dans une revue 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⟩

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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Numerical stability of plasma sheath

Mehdi Badsi , Michel Mehrenberger , Laurent Navoret

ESAIM: Proceedings and Surveys, 2018, ⟨10.1051/proc/201864017⟩

Article dans une revue 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⟩

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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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⟩

Article dans une revue 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 et al.

ESAIM: Proceedings and Surveys, 2016, ⟨10.1051/proc/201653012⟩

Article dans une revue 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 et al.

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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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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Gyroaverage operator for a polar mesh

Christophe Steiner , Michel Mehrenberger , Nicolas Crouseilles , Virginie Grandgirard , Guillaume Latu et al.

The European Physical Journal D : Atomic, molecular, optical and plasma physics, 2015, 69 (1), pp.221. ⟨10.1140/epjd/e2014-50211-7⟩

Article dans une revue 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 et al.

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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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⟩

Article dans une revue 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 et al.

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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Improving conservation properties in a 5D gyrokinetic semi-Lagrangian code

Guillaume Latu , Virginie Grandgirard , Jérémie Abiteboul , Nicolas Crouseilles , Guilhem Dif-Pradalier et al.

The European Physical Journal D : Atomic, molecular, optical and plasma physics, 2014, 68 (11), pp.345. ⟨10.1140/epjd/e2014-50209-1⟩

Article dans une revue hal-00966162v1
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Vlasov on GPU (VOG Project)

Luca Marradi , Bedros Afeyan , Michel Mehrenberger , Nicolas Crouseilles , Christophe Steiner et al.

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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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⟩

Article dans une revue hal-00544677v1
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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

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⟩

Article dans une revue istex hal-01298967v1

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⟩

Article dans une revue hal-01298976v1

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⟩

Article dans une revue inria-00507301v1
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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⟩

Article dans une revue inria-00354509v1
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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⟩

Article dans une revue hal-00363643v1

Stabilization of coupled systems

Kaïs Ammari , Michel Mehrenberger

Acta Mathematica Hungarica, 2009, ⟨10.1007/s10474-009-8011-7⟩

Article dans une revue istex hal-01298966v1

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⟩

Article dans une revue hal-01298964v1
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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⟩

Article dans une revue hal-00311730v1

Observabilite uniforme de l'equation des ondes 1D

Paola Loreti , Michel Mehrenberger

ESAIM: Proceedings, 2008, ⟨10.1051/proc:082505⟩

Article dans une revue hal-01298974v1

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⟩

Article dans une revue hal-01298963v1

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⟩

Article dans une revue 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⟩

Article dans une revue istex 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⟩

Article dans une revue 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⟩

Article dans une revue 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

Article dans une revue hal-00139352v1

Observability of coupled systems

Michel Mehrenberger

Acta Mathematica Hungarica, 2004, 4 (103), pp.321-348. ⟨10.1023/B:AMHU.0000028832.47891.09⟩

Article dans une revue istex hal-00139351v1

Conservative (cascade) Semi-Lagrangian schemes for Vlasov type equations

Michel Mehrenberger

Modeling, theory and numerics for PDEs (kinetic and hyperbolic systems), Oct 2024, Aussois (FR), France

Communication dans un congrès hal-04936807v1

Semi-Lagrangian guiding center simulations with polar type coordinates

Michel Mehrenberger

Workshop Theoretical and Analytical Aspects of Kinetic equations in Plasmas, Mar 2024, Marseille (CIRM, Centre International de Rencontres Mathématiques), France

Communication dans un congrès hal-04936809v1
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Composition schemes for the guiding-center model

Michel Mehrenberger , Laurent Navoret , Anh-Tuan Vu

FVCA: International Conference on Finite Volumes for Complex Applications, Oct 2023, Strasbourg, France. https://link.springer.com/chapter/10.1007/978-3-031-40860-1_25, ⟨10.1007/978-3-031-40860-1_25⟩

Communication dans un congrès hal-04035921v1

Hermite advection schemes

Michel Mehrenberger

SMAI 2021, Jun 2021, La Grande Motte, France

Communication dans un congrès hal-04936894v1
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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⟩

Communication dans un congrès 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 et al.

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⟩

Communication dans un congrès 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⟩

Communication dans un congrès 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⟩

Communication dans un congrès 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⟩

Communication dans un congrès hal-01298727v1
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Adaptive 2-D Vlasov Simulation of Particle Beams

Michaël Gutnic , Michel Mehrenberger , Eric Sonnendrücker , Olivier Hoenen , Guillaume Latu et al.

ICAP 2006, Oct 2006, Chamonix, France

Communication dans un congrès 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⟩

Communication dans un congrès 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

Poster de conférence 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⟩

Poster de conférence hal-01298979v1

Conservative Semi-Lagrangian solvers on mapped meshes

Michel Mehrenberger , Morgane Bergot , Virginie Grandgirard , Guillaume Latu , Hocine Sellama et al.

ICOPS International Conference on Plasma Science, Jul 2012, Edinburgh, United Kingdom. 2012, ⟨10.1109/PLASMA.2012.6383972⟩

Poster de conférence hal-00759823v1

Berk-Breizman and diocotron instability testcases

Michel Mehrenberger , Nicolas Crouseilles , Virginie Grandgirard , Sever Adrian Hirstoaga , Eric Madaule et al.

AMVV Algorithm and Model Verification and Validation, Nov 2012, East-Lansing, United States

Poster de conférence 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

Poster de conférence 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

Poster de conférence 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⟩

Chapitre d'ouvrage istex hal-00137877v1
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A new quasi-asymptotic-preserving mixed formulation with discontinuous Galerkin method for highly anisotropic diffusion equations

Michel Mehrenberger , Nguyen Tuan Dung , Eric Serre , Frédéric Schwander

2025

Pré-publication, Document de travail hal-05234610v1
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An iterated quasi-asymptotic-preserving hybrid discontinuous Galerkin method for highly anisotropic diffusion problems

Michel Mehrenberger , Nguyen Tuan Dung , Frédéric Schwander , Eric Serre

2025

Pré-publication, Document de travail hal-05234738v2
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Semi-Lagrangian Vlasov-Poisson solvers with a strong external uniform magnetic field

Anh-Tuan Vu , Michel Mehrenberger

2023

Pré-publication, Document de travail 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

Pré-publication, Document de travail 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

Pré-publication, Document de travail hal-01422922v1
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Quasi-neutrality equation in a polar mesh

Christophe Steiner , Michel Mehrenberger , Nicolas Crouseilles , Philippe Helluy

2015

Pré-publication, Document de travail hal-01248179v1
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A semi-Lagrangian discontinuous Galerkin convergence

Christophe Steiner , Michel Mehrenberger , Daniel Bouche

2013

Pré-publication, Document de travail hal-00852411v1
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High order Runge-Kutta-Nyström splitting methods for the Vlasov-Poisson equation

Nicolas Crouseilles , Erwan Faou , Michel Mehrenberger

2011

Pré-publication, Document de travail 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 et al.

2011

Pré-publication, Document de travail inria-00435203v2
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A Discontinuous Galerkin semi-Lagrangian solver for the guiding-center problem

Nicolas Crouseilles , Michel Mehrenberger , Francesco Vecil

2012

Pré-publication, Document de travail hal-00717155v1
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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

HDR tel-00735678v1