Nombre de documents

58

Grégoire Allaire


Grégoire Allaire


Né le 01/04/63. Marié, 3 enfants.


Professeur de Mathématiques Appliquées à l'Ecole Polytechnique

Adresse postale:
Centre de Mathématiques Appliquées
Ecole Polytechnique
91198 PALAISEAU Cedex
Tél:  01 69 33 46 11
Fax: 01 69 33 46 46
Mail: gregoire.allaire@polytechnique.fr

Titres:

1993
Habilitation à diriger des recherches, Université Pierre et Marie Curie.
1989
Docteur de l'Université Pierre et Marie Curie (spécialité : Mathématiques). Thèse intitulée "Homogénéisation des équations de Navier-Stokes" sous la direction de F. Murat et J.P. Puel.
1986
Ingénieur diplomé de l'Ecole Polytechnique (promotion 1983).

 

Prix:

2013
Prix Dargelos de l'AX (association des anciens élèves et diplômés de l'Ecole Polytechnique).
2011
Grand Prix de la Fondation d'entreprise EADS (sciences et ingénierie) de l'Académie des Sciences de Paris.
2007
Conférencier pleinier au Congrès International de Mathématiques Appliquées et Industrielles, ICIAM 2007, à Zurich.
1997
Lauréat du prix Simulation Numérique du Concours Seymour Cray, avec S. Aubry, E. Bonnetier, F. Jouve.
1996
Lauréat du prix Blaise Pascal du Gamni-Smai décerné par l'Académie des Sciences de Paris.

 

Expérience professionnelle:

Depuis 2000
Professeur de Mathématiques Appliquées à l'Ecole Polytechnique.
Depuis 1997
Conseiller scientifique au Commissariat à l'Energie Atomique (CEA Saclay).
De 1997 à 2000
Professeur au Laboratoire d'Analyse Numérique de l'Université Pierre et Marie Curie (Paris 6), et Maitre de Conférences à temps partiel à l'Ecole Polytechnique.
De 1994 à 1997
Professeur associé à temps partiel au Laboratoire d'Analyse Numérique de l'Université Pierre et Marie Curie (Paris 6).
De 1989 à 1997
Chercheur au Commissariat à l'Energie Atomique (CEA Saclay), Département de Mécanique et de Technologie, Service d'Etudes des Réacteurs et de Mathématiques Appliquées.
De 1989 à 1990
"Visiting member" au Courant Institute of Mathematical Sciences (New York University).
De 1986 à 1989
Doctorant au Service d'Etudes des Réacteurs et de Mathématiques Appliquées du CEA.

 

Responsabilités éditoriales:

 

Membre des comités éditoriaux de:ESAIM/COCV (Control, Optimization and Calculus of Variations),Structural and Multidisciplinary Optimization,Annali dell'Universita di Ferrara,Discrete and Continuous Dynamical Systems B,Computational and Applied Mathematics,Mathematical Models and Methods in Applied Sciences (M3AS),SeMA Journal,OGST (Oil and Gas Science and Technology).Journal de l'Ecole Polytechnique, Mathématiques.


Article dans une revue38 documents

  • Grégoire Allaire, François Jouve, Georgios Michailidis. Thickness control in structural optimization via a level set method. Structural and Multidisciplinary Optimization, Springer Verlag (Germany), 2016, 53, pp.1349-1382. 〈hal-00985000v2〉
  • Grégoire Allaire, Marc Briane, Muthusamy Vanninathan. A comparison between two-scale asymptotic expansions and Bloch wave expansions for the homogenization of periodic structures. SeMA Journal, Springer, 2016, 73 (3), pp.237-259. 〈10.1007/s40324-016-0067-z〉. 〈hal-01215580v2〉
  • Grégoire Allaire, Olivier Bernard, Jean-Francois Dufreche, Andro Mikelic. Ion transport through deformable porous media:derivation of the macroscopic equations using upscaling. Computational and Applied Mathematics, Springer Verlag, 2016, 〈10.1007/s40314-016-0321-0〉. 〈hal-01278241〉
  • Grégoire Allaire, Charles Dapogny. A deterministic approximation method in shape optimization under random uncertainties. SMAI Journal of Computational Mathematics, 2015, 1, pp.83-143. 〈10.5802/smai-jcm.5〉. 〈hal-01160256〉
  • Franck Ouaki, Grégoire Allaire, Sylvain Desroziers, Guillaume Enchéry. A Priori Error Estimate of a Multiscale Finite Element Method for Transport Modeling. SeMa Journal, Springer-Verlag, 2015, 67 (1), pp.1-37. 〈hal-01071637〉
  • Grégoire Allaire. A review of adjoint methods for sensitivity analysis, uncertainty quantification and optimization in numerical codes. Ingénieurs de l'Automobile, SIA, 2015, 836, pp.33-36. 〈hal-01242950〉
  • Natasha Vermaak, Georgios Michailidis, Guillaume Parry, Raphael Estevez, Grégoire Allaire, et al.. Material interface effects on the topology optimization of multi-phase structures using a level set method. Structural and Multidisciplinary Optimization, Springer Verlag (Germany), 2014, 50 (4), pp.623-644. 〈10.1007/s00158-014-1074-2〉. 〈hal-01072223〉
  • Grégoire Allaire, Charles Dapogny. A linearized approach to worst-case design in parametric and geometric shape optimization. Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 2014, 24 (11), pp.2199-2257. 〈10.1142/S0218202514500195〉. 〈hal-00918896v2〉
  • Grégoire Allaire, Charles Dapogny, Pascal Frey. Shape optimization with a level set based mesh evolution method. Computer Methods in Applied Mechanics and Engineering, Elsevier, 2014, pp.doi:10.1016/j.cma.2014.08.028. 〈hal-00933545v2〉
  • Grégoire Allaire, Robert Brizzi, Jean-Francois Dufreche, Andro Mikelic, Andrey Piatnitski. Role of non-ideality for the ion transport in porous media: derivation of the macroscopic equations using upscaling. Physica D: Nonlinear Phenomena, Elsevier, 2014, 282, pp.39-60. 〈10.1016/j.physd.2014.05.007〉. 〈hal-00863442〉
  • Grégoire Allaire, Charles Dapogny, Gabriel Delgado, Georgios Michailidis. Multi-phase structural optimization via a level set method. ESAIM: Control, Optimisation and Calculus of Variations, EDP Sciences, 2014, 20, pp.576-611. 〈10.1051/cocv/2013076〉. 〈hal-00839464v2〉
  • Grégoire Allaire, Mariapia Palombaro, Jeffrey Rauch. Diffraction of Bloch Wave Packets for Maxwell's Equations. Communications in Contemporary Mathematics, World Scientific Publishing, 2013, 15 (6), pp.1350040. 〈10.1142/S0219199713500405〉. 〈hal-00932946〉
  • Grégoire Allaire, Charles Dapogny, Pascal Frey. A mesh evolution algorithm based on the level set method for geometry and topology optimization. Structural and Multidisciplinary Optimization, Springer Verlag (Germany), 2013, 48 (4), pp.711-715. 〈10.1007/s00158-013-0929-2〉. 〈hal-00801704〉
  • Grégoire Allaire, Zakaria Habibi. Homogenization of a Conductive, Convective and Radiative Heat Transfer Problem in a Heterogeneous Domain. SIAM Journal on Mathematical Analysis, Society for Industrial and Applied Mathematics, 2013, 45 (3), pp.1136-1178. 〈hal-00932950〉
  • Andro Mikelic, Grégoire Allaire, Robert Brizzi, Jean-François Dufrêche, Andrey Piatnitski. Ion transport in porous media: derivation of the macroscopic equations using up-scaling and properties of the effective coefficients. Comput Geosci, 2013, 17 (3), pp.479-496. 〈10.1007/s10596-013-9342-6〉. 〈hal-00863401〉
  • Grégoire Allaire, Zakaria Habibi. Second order corrector in the homogenization of a conductive-radiative heat transfer problem. Discrete and Continuous Dynamical Systems - Series B, American Institute of Mathematical Sciences, 2013, 18 (1), pp.1-36. 〈10.3934/dcdsb.2013.18.1〉. 〈hal-00932949〉
  • Andro Mikelic, Grégoire Allaire, Jean-Francois Dufreche, Andrey Piatnitski. Asymptotic analysis of the Poisson-Boltzmann equation describing electrokinetics in porous media. Nonlinearity, IOP Publishing, 2013, 26, pp.881--910. 〈10.1088/0951-7715/26/3/881〉. 〈hal-00863403〉
  • Grégoire Allaire, Irina Pankratova, Andrey Piatnitski. Homogenization and concentration for a diffusion equation with large convection in a bounded domain. Journal of Functional Analysis, Elsevier, 2012, 262 (1), pp.300-330. 〈10.1016/j.jfa.2011.09.014〉. 〈hal-00908250〉
  • Grégoire Allaire. A la recherche de l'inégalité perdue. Matapli, SMAI, 2012, pp.52-64. 〈hal-01111806〉
  • Gloria Faccanoni, Samuel Kokh, Grégoire Allaire. Modelling and Simulation of Liquid-Vapor Phase Transition in Compressible Flows Based on Thermodynamical Equilibrium.. Mathematical Modelling and Numerical Analysis, 2012, 46 (05), pp.1029-1054. 〈10.1051/m2an/2011069〉. 〈hal-00976983〉
  • Grégoire Allaire, A. Kelly. Optimal Design of Low-contrast Two-phase Structures For the Wave Equation. Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 2011, 21 (7), pp.1499--1538. 〈hal-00784049〉
  • Grégoire Allaire, A. Mikelic, A. Piatnitski. Homogenization of the linearized ionic transport equations in rigid periodic porous media. Journal of Mathematical Physics, American Institute of Physics (AIP), 2011, 52 (6), pp.063701. 〈hal-00784050〉
  • Grégoire Allaire, François Jouve, N. Van Goethem. Damage and fracture evolution in brittle materials by shape optimization methods. Journal of Computational Physics, Elsevier, 2011, 230 (12), pp.5010--5044. 〈hal-00784048〉
  • Grégoire Allaire, Charles Dapogny, Pascal Frey. Topology and geometry optimization of elastic structures by exact deformation of simplicial mesh. Comptes Rendus Mathématique, Elsevier Masson, 2011, 349 (17-18), pp.999--1003. 〈hal-00784047〉
  • Andro Mikelic, Grégoire Allaire, Robert Brizzi, Andrey L. Piatnitski. Two-scale expansion with drift approach to the Taylor dispersion for reactive transport through porous media. Chemical Engineering Science, Elsevier, 2010, 65, pp.2292-2300. 〈hal-00937152〉
  • Gloria Faccanoni, Samuel Kokh, Grégoire Allaire. Approximation of Liquid-Vapor Phase Transition for Compressible Fluids with Tabulated EOS. Comptes Rendus de l'Académie des Sciences, Elsevier - Masson 2010, 348, pp.473-478. 〈10.1016/j.crma.2010.01.012〉. 〈hal-00976950〉
  • Andro Mikelic, Grégoire Allaire, Andrey L. Piatnitski. Homogenization of the linearized ionic transport equations in rigid periodic porous media. Journal of Mathematical Physics, American Institute of Physics (AIP), 2010, 51, pp.123103. 〈10.1063/1.3521555〉. 〈hal-00937156〉
  • Andro Mikelic, Grégoire Allaire, Andrey L. Piatnitski. Homogenization approach to the dispersion theory for reactive transport through porous media. SIAM J. Math. Anal., 2010, 42 (1), pp.125-144. 〈hal-00937154〉
  • Grégoire Allaire, Marc Briane, Robert Brizzi, Yves Capdeboscq. TWO ASYMPTOTIC MODELS FOR ARRAYS OF UNDERGROUND WASTE CONTAINERS. Applicable Analysis. An International Journal, 2009, 88 (10-11), pp.1445-1467. 〈10.1080/00036810902922590〉. 〈hal-00352797〉
  • Grégoire Allaire, François Jouve. Design et formes optimales (III) : Optimisation topologique. Images des Mathématiques, CNRS, 2009, http://images.math.cnrs.fr/Design-et-formes-optimales-III.html. 〈hal-00597641〉
  • Grégoire Allaire, François Jouve. Design et formes optimales (I): Contexte. Images des Mathématiques, CNRS, 2009, http://images.math.cnrs.fr/Design-et-formes-optimales-I.html. 〈hal-00597620〉
  • Grégoire Allaire, François Jouve. Design et formes optimales (II) : Optimisation géométrique. Images des Mathématiques, CNRS, 2009, http://images.math.cnrs.fr/Design-et-formes-optimales-II.html. 〈hal-00597633〉
  • Grégoire Allaire, François Jouve. Minimum stress optimal design with the level set method. Engineering Analysis with Boundary Elements, Elsevier, 2008, 32, pp.909-918. 〈hal-01089075〉
  • Grégoire Allaire, Gloria Faccanoni, Samuel Kokh. A strictly hyperbolic equilibrium phase transition model. Comptes Rendus de l'Académie des Sciences, Elsevier - Masson 2007, 344, pp.135-140. 〈10.1016/j.crma.2006.11.008〉. 〈hal-00976919〉
  • Grégoire Allaire, Olivier Pantz. Structural Optimization with FreeFem++. Structural and Multidisciplinary Optimization, Springer Verlag (Germany), 2006, 32, pp.173-181. 〈hal-01089081〉
  • Grégoire Allaire, M. Vanninathan. Homogenization of the Schrodinger equation with a time oscillating potential. Discrete and Continuous Dynamical Systems - Series B, American Institute of Mathematical Sciences, 2006, 6, pp.1-16. 〈hal-00012604〉
  • Grégoire Allaire, François Jouve, Toader Anca-Maria. Structural optimization using sensitivity analysis and a level-set meth. Journal of Computational Physics, Elsevier, 2004, 194, pp.363-393. 〈hal-01079515〉
  • Grégoire Allaire. Homogenization and two-scale convergence. SIAM Journal on Mathematical Analysis, Society for Industrial and Applied Mathematics, 1992, 23 (6), pp.1482-1518. 〈hal-01111805〉

Communication dans un congrès5 documents

  • Grégoire Allaire, Charles Dapogny, Alexis Faure, Georgios Michailidis. A model of layer by layer mechanical constraint for additive manufacturing in shape and topology optimization. 12th World Congress on Structural and Multidisciplinary Optimization (WCSMO12), Jun 2017, Brunswick, Germany. Proceedings of the 12th World Congress on Structural and Multidisciplinary Optimization, 5-9 June 2017, Braunschweig, Germany, 2017, 〈http://www.wcsmo12.org/〉. 〈hal-01536668〉
  • Grégoire Allaire, Charles Dapogny, Rafael Estevez, Alexis Faure, Georgios Michailidis. Structural optimization under overhang constraints imposed by additive manufacturing processes: an overview of some recent results. Cedya + CMA 2017, Jun 2017, Cartagena, Spain. 〈hal-01589906〉
  • Gloria Faccanoni, Samuel Kokh, Grégoire Allaire. Modeling and Simulation of Nucleate Boiling. EDP-Normandie, 2010, Caen, France. pp.49-53, 2012. 〈hal-00977843〉
  • Gloria Faccanoni, Grégoire Allaire, Samuel Kokh. Modelling and Numerical Simulation of Liquid-Vapor Phase Transition. EUROTHERM: Seminar on Thermodynamics of Phase Changes, 2009, Namur, Belgium. 〈hal-00976940〉
  • Gloria Faccanoni, Samuel Kokh, Grégoire Allaire. Numerical Simulation with Finite Volume of Dynamic Liquid-Vapor Phase Transition. FVCA5, Jun 2008, Aussois, France. pp.391-398, 2008. 〈hal-00976927〉

Chapitre d'ouvrage2 documents

  • Grégoire Allaire, François Jouve, Georgios Michailidis. Molding direction constraints in structural optimization via a level-set method. Variational Analysis and Aerospace Engineering, Springer, pp.1-39, 2016, 978-3-319-45680-5. 〈10.1007/978-3-319-45680-5〉. 〈hal-01242945〉
  • Grégoire Allaire, Emmanuel Dombre, Olivier Pantz. Shape Optimization of a Sodium Fast Reactor Core. Fré́dé́ric, Coquel and Michaël, Gutnic and Philippe, Helluy and Fré́dé́ric, Lagoutière and Christian, Rohde and Nicolas, Seguin. CEMRACS 20011--- Multiscale Complex Modelling, EDP Sciences, 2012. 〈hal-00784176〉

Pré-publication, Document de travail13 documents

  • Grégoire Allaire, Tuhin Ghosh, Muthusamy Vanninathan. HOMOGENIZATION OF STOKES SYSTEM USING BLOCH WAVES. 2017. 〈hal-01522262〉
  • Aymeric Maury, Grégoire Allaire, François Jouve. Elasto-plastic shape optimization using the level set method. 2017. 〈hal-01519017〉
  • Grégoire Allaire, Charles Dapogny, Rafael Estevez, Alexis Faure, Georgios Michailidis. Structural optimization under overhang constraints imposed by additive manufacturing technologies. 2017. 〈hal-01523009〉
  • Aymeric Maury, Grégoire Allaire, François Jouve. Shape optimisation with the level set method for contact problems in linearised elasticity. 2017. 〈hal-01435325v2〉
  • Grégoire Allaire, Eric Cancès, Jean-Léopold Vie. Second-order shape derivatives along normal trajectories, governed by Hamilton-Jacobi equations. 2016. 〈hal-01326805〉
  • Grégoire Allaire, Georgios Michailidis. Modal basis approaches in shape and topology optimization of frequency response problems. 2016. 〈hal-01354162〉
  • Grégoire Allaire, Charles Dapogny, Alexis Faure, Georgios Michailidis. Shape optimization of a layer by layer mechanical constraint for additive manufacturing. 2016. 〈hal-01398877v2〉
  • Charles Dapogny, Alexis Faure, Georgios Michailidis, Grégoire Allaire, Agnes Couvelas, et al.. Geometric constraints for shape and topology optimization in architectural design. 2016. 〈hal-01354004v3〉
  • Grégoire Allaire, Jeffrey Rauch. Instability of dielectrics and conductors in electrostatic fields. 2016. 〈hal-01321566〉
  • Florian Feppon, G Michailidis, M.A. Sidebottom, Grégoire Allaire, B.A. Krick, et al.. Introducing a level-set based shape and topology optimization method for the wear of composite materials with geometric constraints. 2016. 〈hal-01336301〉
  • Grégoire Allaire, T Yamada. Optimization of dispersive coefficients in the homogenization of the wave equation in periodic structures. 2016. 〈hal-01341082〉
  • Thomas Abballe, Marc Albertelli, Grégoire Allaire, Axelle Caron, Philippe Conraux, et al.. RODIN project, Topology Optimization 2.0?. 2015. 〈hal-01237051〉
  • Grégoire Allaire, Gabriel Delgado. Stacking sequence and shape optimization of laminated composite plates via a level-set method. 2015. 〈hal-01164929v2〉