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Michel Kern

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A benchmark study on reactive two-phase flow in porous media: Part II -results and discussion

Etienne Ahusborde , Brahim Amaziane , Stephan de Hoop , Mustapha El Ossmani , Eric Flauraud
Computational Geosciences, 2024, ⟨10.1007/s10596-024-10269-y⟩
Journal articles hal-04237832v1
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A benchmark study on reactive two-phase flow in porous media: Part I -model description

Stephan de Hoop , Denis Voskov , Etienne Ahusborde , Brahim Amaziane , Michel Kern
Computational Geosciences, 2024, ⟨10.1007/s10596-024-10268-z⟩
Journal articles hal-04237764v1
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A space-time multiscale mortar mixed finite element method for parabolic equations

Manu Jayadharan , Michel Kern , Martin Vohralík , Ivan Yotov
SIAM Journal on Numerical Analysis, 2023, 61 (2), pp.675 - 706. ⟨10.1137/21M1447945⟩
Journal articles hal-03355088v1
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Initialization of the Circulant Embedding method to speed up the generation of Gaussian random fields

Géraldine Pichot , Simon Legrand , Michel Kern , Nathanael Tepakbong-Tematio
SMAI Journal of Computational Mathematics, 2022, 8, pp.21. ⟨10.5802/smai-jcm.89⟩
Journal articles hal-03190252v6
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Jacobian Free Methods for Coupling Transport with Chemistry in Heterogenous Porous Media

Laila Amir , Michel Kern
Water, 2021, 13 (3), pp.370. ⟨10.3390/w13030370⟩
Journal articles hal-03132416v1
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Intersecting fractures in porous media: theoretical and numerical analysis

Laila Amir , Michel Kern , Zoubida Mghazli , Jean E Roberts
Applicable Analysis, 2021, ⟨10.1080/00036811.2021.1981878⟩
Journal articles hal-03141968v2
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Space-time domain decomposition for two-phase flow between different rock types

Elyes Ahmed , Caroline Japhet , Michel Kern
Computer Methods in Applied Mechanics and Engineering, 2020, 371, pp.113294. ⟨10.1016/j.cma.2020.113294⟩
Journal articles hal-02275690v3
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Preconditioned iterative method for reactive transport with sorption in porous media

Michel Kern , Abdelaziz Taakili , Mohamed M Zarrouk
Mathematical Modelling and Analysis, 2020, 25 (4), pp.546 - 568. ⟨10.3846/mma.2020.10626⟩
Journal articles hal-02464083v2
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A posteriori error estimates and stopping criteria for space-time domain decomposition for two-phase flow between different rock types

Elyes Ahmed , Sarah Ali Hassan , Caroline Japhet , Michel Kern , Martin Vohralík
SMAI Journal of Computational Mathematics, 2019, 5, pp.195-227. ⟨10.5802/smai-jcm.47⟩
Journal articles hal-01540956v3
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Preconditioning a coupled model for reactive transport in porous media

Laila Amir , Michel Kern
International Journal of Numerical Analysis and Modeling, 2019, 16 (1), pp.18-48
Journal articles hal-01327307v4
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A posteriori stopping criteria for optimized Schwarz domain decomposition algorithms in mixed formulations

Sarah Ali Hassan , Caroline Japhet , Michel Kern , Martin Vohralík
Computational Methods in Applied Mathematics, 2018, 18 (3), pp.495-519. ⟨10.1515/cmam-2018-0010⟩
Journal articles hal-01529532v3
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Space-time domain decomposition for advection-diffusion problems in mixed formulations

Thi-Thao-Phuong Hoang , Caroline Japhet , Michel Kern , Jean E. Roberts
Mathematics and Computers in Simulation, 2017, MAMERN VI-2015: 6th International Conference on Approximation Methods and Numerical Modeling in Environment and Natural Resources, 137, pp.24. ⟨10.1016/j.matcom.2016.11.002⟩
Journal articles hal-01296348v2
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Space-time Domain Decomposition and Mixed Formulation for solving reduced fracture models

Thi-Thao-Phuong Hoang , Caroline Japhet , Michel Kern , Jean E. Roberts
SIAM Journal on Numerical Analysis, 2016, 54 (1), pp.29. ⟨10.1137/15M1009651⟩
Journal articles hal-01113953v2
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Numerical simulation of two-phase multicomponent flow with reactive transport in porous media: application to geological sequestration of CO2

Etienne Ahusborde , Michel Kern , Viatcheslav Vostrikov
ESAIM: Proceedings and Surveys, 2015, CANUM 2014 - 42e Congrès National d'Analyse Numérique, 50, pp.21 - 39. ⟨10.1051/proc/201550002⟩
Journal articles hal-01133858v1
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Space-Time Domain Decomposition Methods for Diffusion Problems in Mixed Formulations

Thi Thao Phuong Hoang , Jérôme Jaffré , Caroline Japhet , Michel Kern , Jean Roberts
SIAM Journal on Numerical Analysis, 2013, 51 (6), pp.3532-3559. ⟨10.1137/130914401⟩
Journal articles hal-00803796v1
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A global method for coupling transport with chemistry in heterogeneous porous media

Amir Laila , Michel Kern
Computational Geosciences, 2010, 14 (3), pp.465-481. ⟨10.1007/s10596-009-9162-x⟩
Journal articles inria-00442243v1

Reactive transport benchmark of MoMaS

Jérôme Carrayrou , Michel Kern , Peter Knabner
Computational Geosciences, 2010, 14, pp.385-392. ⟨10.1007/s10596-009-9157-7⟩
Journal articles halsde-00511694v1
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Reactive transport in porous media

Jean-Baptiste Apoung-Kamga , Pascal Have , Jean Houot , Michel Kern , Adrien Semin
ESAIM: Proceedings, 2009, CEMRACS 2008 - Modelling and Numerical Simulation of Complex Fluids, 28, pp.227 - 245. ⟨10.1051/proc/2009049⟩
Journal articles hal-01111966v1

A global strategy for solving reactive transport equations

Caroline de Dieuleveult , Jocelyne Erhel , Michel Kern
Journal of Computational Physics, 2009, 228 (17), pp.6395-6410. ⟨10.1016/j.jcp.2009.05.044⟩
Journal articles hal-00566602v1
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Décomposition de domaine pour un milieu poreux fracturé : un modèle en 3D avec fractures

Laila Amir , Michel Kern , Jean E. Roberts , Vincent Martin
Revue Africaine de Recherche en Informatique et Mathématiques Appliquées, 2006, Volume 5, Special Issue TAM TAM'05, november 2006, pp.11-25. ⟨10.46298/arima.1851⟩
Journal articles hal-01263453v1
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The COUPLEX Test Cases: Nuclear Waste Disposal Simulation

Alain Bourgeat , Michel Kern , Stephan Schumacher , Jean Talandier
Computational Geosciences, 2004, ⟨10.1023/B:COMG.0000035073.03009.5d⟩
Journal articles hal-01315461v1

Special Issue on Simulation of Transport around a Nuclear Waste Disposal Site: The COUPLEX Test Cases

A Bourgeat , Michel Kern
Computational Geosciences, 2004, Simulation of Transport Around a Nuclear Waste Disposal Site: The COUPLEX Test Cases, 8 (2), pp.2
Journal articles hal-01315496v1

Inversion of reflection seismograms by differential semblance analysis: algorithm structure and synthetic examples1

William W. Symes , Michel Kern
Geophysical Prospecting, 1994, 42 (6), pp.49. ⟨10.1111/j.1365-2478.1994.tb00231.x⟩
Journal articles hal-01111969v1
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Propagation of elastic surface waves along a cylindrical cavity of arbitrary cross section

A Bamberger , P Joly , Michel Kern
ESAIM: Mathematical Modelling and Numerical Analysis, 1991, 25 (1), pp.30
Journal articles hal-01133925v1

Hole geometry and anisotropic effects on tube-wave propagation; a quasi-static study

Laurence Nicoletis , Alain Bamberger , Jacques Quiblier , Patrick Joly , Michel Kern
Geophysics, 1990, 55, pp.167. ⟨10.1190/1.1442823⟩
Journal articles hal-01134722v1

The electric field in the conductive half space as a model in mining and petroleum prospecting

Michel Kern , Patrick Joly , Y. Goldman
Mathematical Methods in the Applied Sciences, 1989, 11 (3), pp.28. ⟨10.1002/mma.1670110306⟩
Journal articles hal-01133931v1
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Propagation d'ondes élastiques guidées par la surface d'une cavité cylindrique de section arbitraire

Alain Bamberger , Patrick Joly , Michel Kern
Comptes rendus de l'Académie des sciences. Série I, Mathématique, 1987, 304 (3), pp.4
Journal articles hal-01315578v1

Modélisation des écoulements hydrothermaux avec ComPASS

Antoine Armandine Les Landes , Laurence Beaude , Sabrine Ben Rhouma , Konstantin Brenner , Daniel Castanon Quiroz
Colloque annuel GDR HydroGEMM 2023 : Journées scientifiques "Hydrogène du sous-sol: étude intégrée de la GEnèse … à la Modélisation Mathématique", Nov 2023, Pau (FRA), France
Conference papers hal-04270366v1
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Global-in-Time Domain Decomposition for a Nonlinear Diffusion Problem

Elyes Ahmed , Caroline Japhet , Michel Kern
DD 2018 - 25th International Domain Decomposition Conference, Jul 2018, St John's, Canada. pp.202-209, ⟨10.1007/978-3-030-56750-7⟩
Conference papers hal-02263280v1
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Geothermal Modeling in Complex Geological Systems with the ComPASS Code

Simon Lopez , Roland Masson , Laurence Beaude , Nabil Birgle , Konstantin Brenner
Stanford Geothermal Workshop 2018 - 43rd Workshop on Geothermal Reservoir Engineering, Stanford University, Feb 2018, Stanford, United States
Conference papers hal-01667379v1
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Modélisation hydrothermale des systèmes géothermiques profonds fracturés avec le code ComPASS

Simon Lopez , Roland Masson , Feng Xing , Laurence Beaude , Farid F Smaï
26ème Réunion des Sciences de la Terre - RST, Oct 2018, Lille, France
Conference papers hal-01890182v1
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Space-time domain decomposition methods and a posteriori error estimates for the heat equation

Sarah Ali Hassan , Caroline Japhet , Michel Kern , Martin Vohralík
EDP-NORMANDIE 2017 - VIe Colloque Edp-normandie, Oct 2017, Caen, France. pp.1-18
Conference papers hal-01702428v1

Numerical simulation of two-phase multi-component flow with reactive transport in porous media

Etienne Ahusborde , Michel Kern , Viatcheslav Vostrikov
SIAM Conference on Mathematical & Computational Issues in the Geoscience, Jun 2015, Stanford, United States
Conference papers hal-02145549v1

Simulation numérique d'écoulements diphasiques multiconstituants avec transport réactif en milieu poreux : application au stockage géologique du CO2

Etienne Ahusborde , Michel Kern , Viatcheslav Vostrikov
CANUM 2014. Carry le Rouet, France., 2014, Carry le Rouet,, France
Conference papers hal-01051802v1
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Ventcell conditions with mixed formulations for flow in porous media

Thi Thao Phuong Hoang , Caroline Japhet , Michel Kern , Jean E. Roberts
22th International conference on domain decomposition methods, Sep 2013, Lugano, Switzerland
Conference papers hal-01113964v1
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Space-time domain decomposition for mixed formulations of diffusion equations

Thi Thao Phuong Hoang , Jérôme Jaffré , Caroline Japhet , Michel Kern , Jean E. Roberts
21st International Conference on Domain Decomposition Methods, Jun 2012, Rennes, France. pp.295-304
Conference papers hal-00923353v1

Simulation of Transport in 2D heterogeneous Porous media via a Random-Walk Particle Tracking Method

Géraldine Pichot , Anthony Beaudoin , Julia Charrier , Nadir Soualem , Jocelyne Erhel
SIAM Conference on Mathematical & Computational Issues in the Geosciences, Mar 2011, Long Beach, United States
Conference papers hal-00853281v1
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A Schwarz Waveform Relaxation Method for Advection—Diffusion—Reaction Problems with Discontinuous Coefficients and Non-matching Grids

Martin J. Gander , Laurence Halpern , Michel Kern
Domain Decomposition Methods in Science and Engineering 16, Jan 2005, New-York, United States. ⟨10.1007/978-3-540-34469-8_33⟩
Conference papers hal-01111940v1
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Couplage par composants logiciels de codes d'hydrogéologie

Jocelyne Erhel , Philippe Ackerer , Jean-Raynald de Dreuzy , Michel Kern , Hugues Leroy
École GRID 2002, 2002, Aussois, France
Conference papers hal-01316192v1

Using Groebner bases to compute higher order finite elements for mass lumping

Michel Kern , Agany Oloui , Jean-Charles Faugère , Fabrice Rouillier
Fourth International Congress on Industrial & Applied Mathematics - ICIAM'99, Jul 1999, Edinburgh, United Kingdom
Conference papers inria-00110525v1
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Parallel solution of the wave equation using higher order finite elements

Michel Kern , Séraphin Mefire
Second MPI Developer's Conference, 1996, Notre-Dame, United States. pp.5, ⟨10.1109/MPIDC.1996.534103⟩
Conference papers hal-01316196v1
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Three-dimensional paraxial migration method without lateral splitting

Michel Kern
Mathematical Methods in Geophysical Imaging III, 1995, San Diego, United States. ⟨10.1117/12.218504⟩
Conference papers hal-01316193v1
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Two migration methods based on paraxial equations in a 3D heterogeneous medium

Eliane Bécache , Francis Collino , Michel Kern , Patrick Joly
Mathematical Methods in Geophysical Imaging III, 1995, San Diego, United States. pp.12, ⟨10.1117/12.218503⟩
Conference papers hal-01316194v1

Shot level parallelization of a seismic inversion code using PVM

Mark Gockenback , Roelof Versteeg , Michel Kern , William W. Symes
SEG Annual Meeting 1994, Sep 1994, New Orleans, United States
Conference papers hal-01315602v1

Loop level parallelization of a seismic inversion code

William W. Symes , Michel Kern
SEG Technical Program Expanded Abstracts 1993, Sep 1993, Washington, United States. pp.4, ⟨10.1190/1.1822434⟩
Conference papers hal-01315571v1

Calculation of the differential semblance gradient

W. W. Symes , Michel Kern
54th EAEG Meeting, Jun 1992, Paris, France. ⟨10.3997/2214-4609.201410350⟩
Conference papers hal-01443179v1

Velocity discrimination by differential semblance

W. W. Symes , Michel Kern
54th EAEG Meeting, Jun 1992, Paris, France
Conference papers hal-01443178v1

Velocity inversion by differential semblance optimization for 2‐D common source data

William W. Symes , Michel Kern
SEG Annual Meeting 1992, Sep 1992, New Orleans, United States
Conference papers hal-01315596v1

Numerical methods for 3D paraxial wave equations

Michel Kern
54th EAEG Meeting, Jun 1992, Paris, France
Conference papers hal-01443177v1

Numerical methods for paraxial wave equations in 3‐D heterogeneous media

Michel Kern
SEG Annual Meeting 1992, Sep 1992, New-Orleans, United States
Conference papers hal-01315592v1

Sensitivity of the electric field with respect to conductivity. Application to oil prospection.

Michel Kern , Elisabeth Rouy
IEEE International Conference on Control and Applications, 1989, Unknown, Unknown Region. pp.429-430
Conference papers hal-01443180v1
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Block Preconditioning for a Coupled Model of Transport with Sorption in Porous Media

Michel Kern , Abdelaziz Taakili
International Conference On Preconditioning Techniques For Scientific And Industrial Applications, Preconditioning 2011, May 2011, Bordeaux, France
Documents associated with scientific events inria-00581566v1

Méthodes numériques pour les problèmes inverses

Michel Kern
ISTE Éditions, pp.222, 2016, Collection Mathématiques et statisitques, Nikolaos Limnios, 978-1-78405-130-3
Books hal-01297083v1

Problèmes inverses

Michel Kern
Techniques de l'ingénieur Méthodes numériques, ref. article : af1380, Editions TI, 2010
Book sections hal-01315472v1
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Parallel Solution of the Wave Equation Using Higher Order Finite Elements

Michel Kern
M.-O. Bristeau; G. Etgen; W. Fitzgibbon; J.-L. Lions; J. Périaux; M. F. Wheeler. Computational Science in the 21st Century, Wiley, pp.10, 1997, 978-0471972983
Book sections hal-01316197v1

Low Frequency Propagation of Elastic Waves in a Fluid-Filled Borehole

A. Bamberger , Patrick Joly , Michel Kern , L. Nicoletis , J. Quiblier
Parker, David F. and Maugin, Gérard A. Recent Developments in Surface Acoustic Waves: Proceedings of European Mechanics Colloquium 226, University of Nottingham, U. K., September 2―5, 1987, Springer Berlin Heidelberg, pp.282--290, 1988, 978-3-642-83508-7. ⟨10.1007/978-3-642-83508-7_29⟩
Book sections hal-01443185v1

Mathematical and Computational Aspects of the Determination of Elastic Surface Waves Along Cylindrical Cavities of General Cross Section

A. Bamberger , Patrick Joly , Michel Kern
Parker, David F. and Maugin, Gérard A. Recent Developments in Surface Acoustic Waves: Proceedings of European Mechanics Colloquium 226, University of Nottingham, U. K., September 2―5, 1987, Springer Berlin Heidelberg, pp.270--281, 1988, 978-3-642-83508-7. ⟨10.1007/978-3-642-83508-7_28⟩
Book sections hal-01443145v1
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Problèmes inverses : aspects numériques

Michel Kern
Engineering school. 1999 à 2002, École supérieure d'ingénieurs Léonard de Vinci, 2002, pp.138
Lectures cel-00168393v2