Michel Kern's publications

Michel Kern, Abdelaziz Taakili, Mohamed Zarrouk. Preconditioned iterative method for reactive transport with sorption in porous media. Mathematical Modelling and Analysis, Taylor&Francis and VGTU, 2020, 25 (4), pp.546 - 568. ⟨10.3846/mma.2020.10626⟩. ⟨hal-02464083v2⟩

Elyes Ahmed, Caroline Japhet, Michel Kern. Space-time domain decomposition for two-phase flow between different rock types. Computer Methods in Applied Mechanics and Engineering, Elsevier, 2020, 371, pp.113294. ⟨10.1016/j.cma.2020.113294⟩. ⟨hal-02275690v3⟩

Laila Amir, Michel Kern. Preconditioning a coupled model for reactive transport in porous media. International Journal of Numerical Analysis and Modeling, Institute for Scientific Computing and Information, 2019, 16 (1), pp.18-48. ⟨hal-01327307v4⟩

Elyes Ahmed, Sarah Ali Hassan, Caroline Japhet, Michel Kern, Martin Vohralík. A posteriori error estimates and stopping criteria for space-time domain decomposition for two-phase flow between different rock types. SMAI Journal of Computational Mathematics, Société de Mathématiques Appliquées et Industrielles (SMAI), 2019, 5, pp.195-227. ⟨10.5802/smai-jcm.47⟩. ⟨hal-01540956v3⟩

Sarah Ali Hassan, Caroline Japhet, Michel Kern, Martin Vohralík. A posteriori stopping criteria for optimized Schwarz domain decomposition algorithms in mixed formulations. Computational Methods in Applied Mathematics, De Gruyter, 2018, 18 (3), pp.495-519. ⟨10.1515/cmam-2018-0010⟩. ⟨hal-01529532v3⟩

Thi-Thao-Phuong Hoang, Caroline Japhet, Michel Kern, Jean E. Roberts. Space-time Domain Decomposition and Mixed Formulation for solving reduced fracture models . SIAM Journal on Numerical Analysis, Society for Industrial and Applied Mathematics, 2016, 54 (1), pp.29. ⟨10.1137/15M1009651⟩. ⟨hal-01113953v2⟩

Thi-Thao-Phuong Hoang, Caroline Japhet, Michel Kern, Jean E. Roberts. Space-time domain decomposition for advection-diffusion problems in mixed formulations. Mathematics and Computers in Simulation, Elsevier, 2016, 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⟩. ⟨hal-01296348v2⟩

Etienne Ahusborde, Michel Kern, Viatcheslav Vostrikov. Numerical simulation of two-phase multicomponent flow with reactive transport in porous media: application to geological sequestration of CO2. ESAIM: Proceedings and Surveys, EDP Sciences, 2015, CANUM 2014 - 42e Congrès National d'Analyse Numérique, 50, pp.21 - 39. ⟨10.1051/proc/201550002⟩. ⟨hal-01133858⟩

Thi Thao Phuong Hoang, Jérôme Jaffré, Caroline Japhet, Michel Kern, Jean Roberts. Space-Time Domain Decomposition Methods for Diffusion Problems in Mixed Formulations. SIAM Journal on Numerical Analysis, Society for Industrial and Applied Mathematics, 2013, 51 (6), pp.3532-3559. ⟨10.1137/130914401⟩. ⟨hal-00803796⟩

Amir Laila, Michel Kern. A global method for coupling transport with chemistry in heterogeneous porous media. Computational Geosciences, Springer Verlag, 2010, 14 (3), pp.465-481. ⟨10.1007/s10596-009-9162-x⟩. ⟨inria-00442243⟩

Jérôme Carrayrou, Michel Kern, Peter Knabner. Reactive transport benchmark of MoMaS. Computational Geosciences, Springer Verlag, 2010, 14, pp.385-392. ⟨10.1007/s10596-009-9157-7⟩. ⟨halsde-00511694⟩

Jean-Baptiste Apoung-Kamga, Pascal Have, Jean Houot, Michel Kern, Adrien Semin. Reactive Transport in Porous Media. ESAIM: Proceedings, EDP Sciences, 2009, CEMRACS 2008 - Modelling and Numerical Simulation of Complex Fluids, 28, pp.227 - 245. ⟨10.1051/proc/2009049⟩. ⟨hal-01111966⟩

Caroline de Dieuleveult, Jocelyne Erhel, Michel Kern. A global strategy for solving reactive transport equations. Journal of Computational Physics, Elsevier, 2009, 228 (17), pp.6395-6410. ⟨10.1016/j.jcp.2009.05.044⟩. ⟨hal-00566602⟩

Laila Amir, Michel Kern, Jean E. Roberts, Vincent Martin. Décomposition de domaine pour un milieu poreux fracturé : un modèle en 3D avec fractures. Revue Africaine de la Recherche en Informatique et Mathématiques Appliquées, INRIA, 2006, 5, pp.11-25. ⟨hal-01263453⟩

A Bourgeat, Michel Kern. Special Issue on Simulation of Transport around a Nuclear Waste Disposal Site: The COUPLEX Test Cases. Computational Geosciences, Springer Verlag, 2004, Simulation of Transport Around a Nuclear Waste Disposal Site: The COUPLEX Test Cases, 8 (2), pp.2. ⟨hal-01315496⟩

Alain Bourgeat, Michel Kern, Stephan Schumacher, Jean Talandier. The COUPLEX Test Cases: Nuclear Waste Disposal Simulation. Computational Geosciences, Springer Verlag, 2004, ⟨10.1023/B:COMG.0000035073.03009.5d⟩. ⟨hal-01315461⟩

William W. Symes, Michel Kern. Inversion of reflection seismograms by differential semblance analysis: algorithm structure and synthetic examples1. Geophysical Prospecting, Wiley, 1994, 42 (6), pp.49. ⟨10.1111/j.1365-2478.1994.tb00231.x⟩. ⟨hal-01111969⟩

A Bamberger, P Joly, Michel Kern. Propagation of elastic surface waves along a cylindrical cavity of arbitrary cross section. ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 1991, 25 (1), pp.30. ⟨hal-01133925⟩

Laurence Nicoletis, Alain Bamberger, Jacques Quiblier, Patrick Joly, Michel Kern. Hole geometry and anisotropic effects on tube-wave propagation; a quasi-static study. Geophysics, Society of Exploration Geophysicists, 1990, 55, pp.167. ⟨10.1190/1.1442823⟩. ⟨hal-01134722⟩

Michel Kern, Patrick Joly, Y. Goldman. The electric field in the conductive half space as a model in mining and petroleum prospecting. Mathematical Methods in the Applied Sciences, Wiley, 1989, 11 (3), pp.28. ⟨10.1002/mma.1670110306⟩. ⟨hal-01133931⟩

Alain Bamberger, Patrick Joly, Michel Kern. Propagation d'ondes élastiques guidées par la surface d'une cavité cylindrique de section arbitraire. Comptes rendus de l'Académie des sciences. Série I, Mathématique, Elsevier, 1987, 304 (3), pp.4. ⟨hal-01315578⟩

Simon Lopez, Roland Masson, Laurence Beaude, Nabil Birgle, Konstantin Brenner, et al.. Geothermal Modeling in Complex Geological Systems with the ComPASS Code. Stanford Geothermal Workshop 2018 - 43rd Workshop on Geothermal Reservoir Engineering, Stanford University, Feb 2018, Stanford, United States. ⟨hal-01667379⟩

Simon Lopez, Roland Masson, Feng Xing, Laurence Beaude, Farid Smaï, et al.. Modélisation hydrothermale des systèmes géothermiques profonds fracturés avec le code ComPASS. 26ème Réunion des Sciences de la Terre - RST, Oct 2018, Lille, France. ⟨hal-01890182⟩

Elyes Ahmed, Caroline Japhet, Michel Kern. Global-in-Time Domain Decomposition for a Nonlinear Diffusion Problem. 25th International Domain Decomposition Conference, DD25, Jul 2018, St John's, Canada. ⟨10.1007/978-3-030-56750-7⟩. ⟨hal-02263280⟩

Sarah Ali Hassan, Caroline Japhet, Michel Kern, Martin Vohralík. Space-time domain decomposition methods and a posteriori error estimates for the heat equation. EDP-NORMANDIE 2017 - VIe Colloque Edp-normandie, Oct 2017, Caen, France. pp.1-18. ⟨hal-01702428⟩

Michel Kern, Etienne Ahusborde, Viatcheslav Vostrikov. Numerical Simulation of Two-Phase Multi-Component Flow with Reactive Transport in Porous Media. SIAM Conference on Mathematical \& Computational Issues in the Geoscience, Jun 2015, Stanford, United States. ⟨hal-02145549⟩

Etienne Ahusborde, Michel Kern, Viatcheslav Vostrikov. Simulation numérique d'écoulements diphasiques multiconstituants avec transport réactif en milieu poreux : application au stockage géologique du CO2. CANUM 2014. Carry le Rouet, France., 2014, Carry le Rouet,, France. ⟨hal-01051802⟩

Thi Thao Phuong Hoang, Caroline Japhet, Michel Kern, Jean E. Roberts. Ventcell conditions with mixed formulations for flow in porous media. 22th International conference on domain decomposition methods, Sep 2013, Lugano, Switzerland. ⟨hal-01113964⟩

Thi Thao Phuong Hoang, Jérôme Jaffré, Caroline Japhet, Michel Kern, Jean Roberts. Space-Time Domain Decomposition for Mixed Formulations of Diffusion Equations. 21st International Conference on Domain Decomposition Methods, Jun 2012, Rennes, France. ⟨hal-00923353⟩

Géraldine Pichot, Anthony Beaudoin, Julia Charrier, Nadir Soualem, Jocelyne Erhel, et al.. Simulation of Transport in 2D heterogeneous Porous media via a Random-Walk Particle Tracking Method. SIAM Conference on Mathematical & Computational Issues in the Geosciences, Mar 2011, Long Beach, United States. ⟨hal-00853281⟩

Martin Gander, Laurence Halpern, Michel Kern. A Schwarz Waveform Relaxation Method for Advection—Diffusion—Reaction Problems with Discontinuous Coefficients and Non-matching Grids. Domain Decomposition Methods in Science and Engineering 16, Jan 2005, New-York, United States. ⟨10.1007/978-3-540-34469-8_33⟩. ⟨hal-01111940⟩

Jocelyne Erhel, Philippe Ackerer, Jean-Raynald de Dreuzy, Michel Kern, Hugues Leroy, et al.. Couplage par composants logiciels de codes d'hydrogéologie. École GRID 2002, 2002, Aussois, France. ⟨hal-01316192⟩

Michel Kern, Agany Oloui, Jean-Charles Faugère, Fabrice Rouillier. Using Groebner bases to compute higher order finite elements for mass lumping. Fourth International Congress on Industrial & Applied Mathematics - ICIAM'99, Jul 1999, Edinburgh, United Kingdom. ⟨inria-00110525⟩

Michel Kern, Séraphin Mefire. Parallel solution of the wave equation using higher order finite elements. Second MPI Developer's Conference, 1996, Notre-Dame, United States. pp.5, ⟨10.1109/MPIDC.1996.534103⟩. ⟨hal-01316196⟩

Eliane Bécache, Francis Collino, Michel Kern, Patrick Joly. Two migration methods based on paraxial equations in a 3D heterogeneous medium. Mathematical Methods in Geophysical Imaging III, 1995, San Diego, United States. pp.12, ⟨10.1117/12.218503⟩. ⟨hal-01316194⟩

Michel Kern. Three-dimensional paraxial migration method without lateral splitting. Mathematical Methods in Geophysical Imaging III, 1995, San Diego, United States. ⟨10.1117/12.218504⟩. ⟨hal-01316193⟩

Mark Gockenback, Roelof Versteeg, Michel Kern, William W. Symes. Shot level parallelization of a seismic inversion code using PVM . SEG Annual Meeting 1994, Sep 1994, New Orleans, United States. ⟨hal-01315602⟩

William W. Symes, Michel Kern. Loop level parallelization of a seismic inversion code. SEG Technical Program Expanded Abstracts 1993, Sep 1993, Washington, United States. pp.4, ⟨10.1190/1.1822434⟩. ⟨hal-01315571⟩

W. W. Symes, Michel Kern. Velocity discrimination by differential semblance. 54th EAEG Meeting, Jun 1992, Paris, France. ⟨hal-01443178⟩

W. W. Symes, Michel Kern. Calculation of the differential semblance gradient. 54th EAEG Meeting, Jun 1992, Paris, France. ⟨10.3997/2214-4609.201410350⟩. ⟨hal-01443179⟩

Michel Kern. Numerical methods for 3D paraxial wave equations. 54th EAEG Meeting, Jun 1992, Paris, France. ⟨hal-01443177⟩

Michel Kern. Numerical methods for paraxial wave equations in 3‐D heterogeneous media. SEG Annual Meeting 1992, Sep 1992, New-Orleans, United States. ⟨hal-01315592⟩

William W. Symes, Michel Kern. Velocity inversion by differential semblance optimization for 2‐D common source data. SEG Annual Meeting 1992, Sep 1992, New Orleans, United States. ⟨hal-01315596⟩

Michel Kern, Elisabeth Rouy. Sensitivity of the electric field with respect to conductivity. Application to oil prospection.. IEEE International Conference on Control and Applications, 1989, Unknown, Unknown Region. pp.429-430. ⟨hal-01443180⟩

Michel Kern, Abdelaziz Taakili. Block Preconditioning for a Coupled Model of Transport with Sorption in Porous Media. International Conference On Preconditioning Techniques For Scientific And Industrial Applications, Preconditioning 2011, May 2011, Bordeaux, France. ⟨inria-00581566⟩

Michel Kern. Méthodes numériques pour les problèmes inverses. ISTE Éditions, pp.222, 2016, Collection Mathématiques et statisitques, Nikolaos Limnios, 978-1-78405-130-3. ⟨hal-01297083⟩

Michel Kern. Problèmes inverses. Techniques de l'ingénieur Méthodes numériques, Editions TI, 2010. ⟨hal-01315472⟩

Michel Kern. Parallel Solution of the Wave Equation Using Higher Order Finite Elements. 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. ⟨hal-01316197⟩

A. Bamberger, Patrick Joly, Michel Kern, L. Nicoletis, J. Quiblier. Low Frequency Propagation of Elastic Waves in a Fluid-Filled Borehole. 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⟩. ⟨hal-01443185⟩

A. Bamberger, Patrick Joly, Michel Kern. Mathematical and Computational Aspects of the Determination of Elastic Surface Waves Along Cylindrical Cavities of General Cross Section. 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⟩. ⟨hal-01443145⟩

Pascal Havé, Michel Kern, Christophe Lemuet. Résolution numérique de l'équation des ondes par une méthode d'éléments finis d'ordre élevé sur calculateur parallèle. [Rapport de recherche] RR-4381, INRIA. 2002. ⟨inria-00072207⟩

Michel Kern. Solution to the SIAM «Hundred-dollar, Hundred-digit Challenge». [Research Report] RR-4472, INRIA. 2002. ⟨inria-00072116⟩

Guillaume Vigo, Michel Kern. Imagerie du proche sous-sol par un radar géologique. [Rapport de recherche] RR-3255, INRIA. 1997. ⟨inria-00073434⟩

Michel Kern, Roelof Versteeg, William W. Symes. Task Level Parallelization for Seismic Modeling and Inversion. [Research Report] RR-2366, INRIA. 1994. ⟨inria-00074312⟩

A. Bamberger, Patrick Joly, Michel Kern. Etude mathematique des modes elastiques guides par l'exterieur d'une cavite cylindrique de section arbitraire. RR-0650, INRIA. 1987. ⟨inria-00075903⟩

Patrick Joly, Michel Kern. Etude mathematique du couplage air sous-sol dans la diffusion d'un champ electrique en milieu conducteur tridimensionnel. RR-0556, INRIA. 1986. ⟨inria-00075998⟩

Michel Kern. Problèmes inverses : aspects numériques. Engineering school. 1999 à 2002, École supérieure d'ingénieurs Léonard de Vinci, 2002, pp.138. ⟨cel-00168393v2⟩