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89

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.

Journal articles70 documents

  • Grégoire Allaire, Beniamin Bogosel, Matías Godoy. Topology optimization of supports with imperfect bonding in additive manufacturing. Structural and Multidisciplinary Optimization, Springer Verlag (Germany), In press. ⟨hal-03538224v2⟩
  • Grégoire Allaire, Robert Brizzi, Christophe Labbez, Andro Mikelić. Non-linear boundary condition for non-ideal electrokinetic equations in porous media *. Applicable Analysis, Taylor & Francis, In press. ⟨hal-03606572⟩
  • Qingqing Feng, Grégoire Allaire, Pascal Omnes. ENRICHED NONCONFORMING MULTISCALE FINITE ELEMENT METHOD FOR STOKES FLOWS IN HETEROGENEOUS MEDIA BASED ON HIGH-ORDER WEIGHTING FUNCTIONS *. Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, Society for Industrial and Applied Mathematics, In press. ⟨hal-03475694⟩
  • Grégoire Allaire, Martin Bihr, Beniamin Bogosel. Support optimization in additive manufacturing for geometric and thermo-mechanical constraints. Structural and Multidisciplinary Optimization, Springer Verlag (Germany), 2020, 61, pp.2377-2399. ⟨hal-02468684⟩
  • Florian Feppon, Grégoire Allaire, Charles Dapogny. Null space gradient flows for constrained optimization with applications to shape optimization. ESAIM: Control, Optimisation and Calculus of Variations, EDP Sciences, 2020, 26, pp.90. ⟨10.1051/cocv/2020015⟩. ⟨hal-01972915v4⟩
  • Perle Geoffroy-Donders, Grégoire Allaire, Olivier Pantz. 3-d topology optimization of modulated and oriented periodic microstructures by the homogenization method. Journal of Computational Physics, Elsevier, 2020, 401, pp.108994. ⟨hal-01939201⟩
  • Florian Feppon, Grégoire Allaire, Charles Dapogny, Pierre Jolivet. Topology optimization of thermal fluid-structure systems using body-fitted meshes and parallel computing. Journal of Computational Physics, Elsevier, 2020, 417, pp.109574. ⟨10.1016/j.jcp.2020.109574⟩. ⟨hal-02518207⟩
  • Florian Feppon, Grégoire Allaire, Felipe Bordeu, Julien Cortial, Charles Dapogny. Shape Optimization of a Coupled Thermal Fluid-Structure Problem in a Level Set Mesh Evolution Framework. SeMA Journal: Boletin de la Sociedad Española de Matemática Aplicada, Springer, 2019, 76 (3), pp.413-458. ⟨10.1007/s40324-018-00185-4⟩. ⟨hal-01686770v3⟩
  • Grégoire Allaire, Perle Geoffroy-Donders, Olivier Pantz. Topology optimization of modulated and oriented periodic microstructures by the homogenization method. Computers & Mathematics with Applications, Elsevier, 2019, 78, pp.2197-2229. ⟨hal-01734709v2⟩
  • Jesus Martínez-Frutos, Grégoire Allaire, Charles Dapogny, Francisco Periago. Structural optimization under internal porosity constraints using topological derivatives. Computer Methods in Applied Mechanics and Engineering, Elsevier, 2019, 345, pp.1-25. ⟨10.1016/j.cma.2018.10.036⟩. ⟨hal-01790472⟩
  • Grégoire Allaire, T yamada. Optimization of dispersive coefficients in the homogenization of the wave equation in periodic structures. Numerische Mathematik, Springer Verlag, 2018, 140 (2), pp.265-326. ⟨hal-01341082⟩
  • Grégoire Allaire, Beniamin Bogosel. Optimizing supports for additive manufacturing. Structural and Multidisciplinary Optimization, Springer Verlag (Germany), 2018, 58 (6), pp.2493-2515. ⟨hal-01769324v2⟩
  • Grégoire Allaire, Georgios Michailidis. Modal basis approaches in shape and topology optimization of frequency response problems. International Journal for Numerical Methods in Engineering, Wiley, 2018, 113 (8), pp.1258-1299. ⟨hal-01354162⟩
  • Aloïs Bissuel, Grégoire Allaire, Laurent Daumas, Sébastien Barré, Floriane Rey. Linearized Navier-Stokes Equations for Aeroacoustics using Stabilized Finite Elements: Boundary Conditions and Industrial Application to Aft-Fan Noise Propagation. Computers and Fluids, Elsevier, In press. ⟨hal-01695874⟩
  • Aymeric Maury, Grégoire Allaire, François Jouve. Elasto-plastic shape optimization using the level set method. SIAM Journal on Control and Optimization, Society for Industrial and Applied Mathematics, 2018, 56 (1), pp.556-581. ⟨hal-01519017v2⟩
  • 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. Structural and Multidisciplinary Optimization, Springer Verlag (Germany), 2017, 55 (2), pp.547-568. ⟨hal-01336301⟩
  • Charles Dapogny, Alexis Faure, Georgios Michailidis, Grégoire Allaire, Agnes Couvelas, et al.. Geometric constraints for shape and topology optimization in architectural design. Computational Mechanics, Springer Verlag, 2017, 59 (6), pp.933-965. ⟨10.1007/s00466-017-1383-6⟩. ⟨hal-01354004v3⟩
  • Grégoire Allaire, Charles Dapogny, Rafael Estevez, Alexis Faure, Georgios Michailidis. Structural optimization under overhang constraints imposed by additive manufacturing technologies. Journal of Computational Physics, Elsevier, 2017, 351, pp.295-328. ⟨10.1016/j.jcp.2017.09.041⟩. ⟨hal-01523009⟩
  • Grégoire Allaire, Jeffrey Rauch. Instability of dielectrics and conductors in electrostatic fields. Archive for Rational Mechanics and Analysis, Springer Verlag, 2017, 124, pp.233-268. ⟨hal-01321566⟩
  • Grégoire Allaire, Charles Dapogny, Alexis Faure, Georgios Michailidis. Shape optimization of a layer by layer mechanical constraint for additive manufacturing. Comptes Rendus. Mathématique, Académie des sciences (Paris), 2017, 355 (6), pp.699-717. ⟨10.1016/j.crma.2017.04.008⟩. ⟨hal-01398877v2⟩
  • Grégoire Allaire, Tuhin Ghosh, Muthusamy Vanninathan. HOMOGENIZATION OF STOKES SYSTEM USING BLOCH WAVES. Networks and Heterogeneous Media, AIMS-American Institute of Mathematical Sciences, 2017, 12 (4), pp.525-550. ⟨hal-01522262⟩
  • Aymeric Maury, Grégoire Allaire, François Jouve. Shape optimisation with the level set method for contact problems in linearised elasticity. SMAI Journal of Computational Mathematics, Société de Mathématiques Appliquées et Industrielles (SMAI), 2017, 3, pp.249-292. ⟨hal-01435325v2⟩
  • Grégoire Allaire, Olivier Bernard, Jean-François Dufrêche, Andro Mikelic. Ion transport through deformable porous media:derivation of the macroscopic equations using upscaling. Computational and Applied Mathematics, Springer Verlag, 2017, 36, pp.1431-1462. ⟨10.1007/s40314-016-0321-0⟩. ⟨hal-01278241⟩
  • 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: Boletin de la Sociedad Española de Matemática Aplicada, Springer, 2016, 73 (3), pp.237-259. ⟨10.1007/s40324-016-0067-z⟩. ⟨hal-01215580v2⟩
  • Grégoire Allaire, Eric Cancès, Jean-Léopold Vie. Second-order shape derivatives along normal trajectories, governed by Hamilton-Jacobi equations. Structural and Multidisciplinary Optimization, Springer Verlag (Germany), 2016, ⟨10.1007/s00158-016-1514-2⟩. ⟨hal-01326805⟩
  • Grégoire Allaire, Gabriel Delgado. Stacking sequence and shape optimization of laminated composite plates via a level-set method. Journal of the Mechanics and Physics of Solids, Elsevier, 2016, 97, pp.168-196. ⟨hal-01164929v2⟩
  • Franck Ouaki, Grégoire Allaire, Sylvain Desroziers, Guillaume Enchéry. A Priori Error Estimate of a Multiscale Finite Element Method for Transport Modeling. SeMA Journal: Boletin de la Sociedad Española de Matemática Aplicada, Springer, 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⟩
  • Grégoire Allaire, Charles Dapogny. A deterministic approximation method in shape optimization under random uncertainties. SMAI Journal of Computational Mathematics, Société de Mathématiques Appliquées et Industrielles (SMAI), 2015, 1, pp.83-143. ⟨10.5802/smai-jcm.5⟩. ⟨hal-01160256⟩
  • 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-François Dufrêche, 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⟩
  • 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, 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, 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, Robert Brizzi, Jean-François Dufrêche, Andro Mikelic, Andrey Piatnitski. Ion transport in porous media: derivation of the macroscopic equations using up-scaling and properties of the effective coefficients. Computational Geosciences, Springer Verlag, 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⟩
  • 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⟩
  • Grégoire Allaire, Jean-François Dufrêche, Andro Mikelic, 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, 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, Harsha Hutridurga. Homogenization of reactive flows in porous media and competition between bulk and surface diffusion. IMA Journal of Applied Mathematics, Oxford University Press (OUP), 2012, 77, pp.788-815. ⟨hal-00784041⟩
  • 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, Société de Mathématiques Appliquées et Industrielles (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, y. Capdeboscq, Marjolaine Puel. Homogenization of a One-Dimensional Spectral Problem for a Singularly Perturbed Elliptic Operator with Neumann Boundary Conditions. Discrete and Continuous Dynamical Systems - Series B, American Institute of Mathematical Sciences, 2012, 17, pp.1-31. ⟨10.3934/dcdsb.2012.17.1⟩. ⟨hal-00784042⟩
  • Grégoire Allaire, Alex 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. ⟨10.1142/S0218202511005477⟩. ⟨hal-00784049⟩
  • Grégoire Allaire, François Jouve, Nicolas 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, Andro Mikelic, Andrey 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, Charles Dapogny, Pascal Frey. Topology and geometry optimization of elastic structures by exact deformation of simplicial mesh. Comptes Rendus. Mathématique, Académie des sciences (Paris), 2011, 349 (17-18), pp.999--1003. ⟨hal-00784047⟩
  • Grégoire Allaire, Andro Mikelic, 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⟩
  • Grégoire Allaire, Andro Mikelic, Andrey Piatnitski. Homogenization approach to the dispersion theory for reactive transport through porous media. SIAM Journal on Mathematical Analysis, Society for Industrial and Applied Mathematics, 2010, 42 (1), pp.125-144. ⟨hal-00784056⟩
  • Gloria Faccanoni, Samuel Kokh, Grégoire Allaire. Approximation of Liquid-Vapor Phase Transition for Compressible Fluids with Tabulated EOS. Comptes Rendus de l'Academie des Sciences. Série IV, Physique, Astronomie, Elsevier, 2010, 348 (7-8), pp.473-478. ⟨10.1016/j.crma.2010.01.012⟩. ⟨hal-00976950⟩
  • Grégoire Allaire, M. Briane, R. Brizzi, y. Capdeboscq. Two Asymptotic Models for Arrays of Underground Waste Containers. Applicable Analysis, Taylor & Francis, 2009, 88, pp.1445-1467. ⟨hal-00784062⟩
  • 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, K. El Ganaoui. Homogenization of a conductive and radiative heat transfer problem. Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, Society for Industrial and Applied Mathematics, 2009, 7 (3), pp.1148-1170. ⟨10.1137/080714737⟩. ⟨hal-00784061⟩
  • 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 (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, Frédéric de Gournay, François Jouve. Shape and topology optimization of the robust compliance via the level set method. ESAIM: Control, Optimisation and Calculus of Variations, EDP Sciences, 2008, 14 (14), pp.43--70. ⟨10.1051/cocv:2007048⟩. ⟨hal-00784065⟩
  • Grégoire Allaire, Gloria Faccanoni, Samuel Kokh. A strictly hyperbolic equilibrium phase transition model. Comptes Rendus de l'Academie des Sciences. Série IV, Physique, Astronomie, Elsevier, 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, Muthusamy 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, Anca-Maria Toader. Structural optimization using sensitivity analysis and a level-set meth. Journal of Computational Physics, Elsevier, 2004, 194, pp.363-393. ⟨10.1016/j.jcp.2003.09.032⟩. ⟨hal-01079515⟩
  • Grégoire Allaire, yves Capdeboscq, Andrey Piatnitski, Vincent Siess, Muthusamy Vanninathan. Homogenization of periodic systems with large potentials. Archive for Rational Mechanics and Analysis, Springer Verlag, 2004, 174 (2), pp.179--220. ⟨10.1007/s00205-004-0332-7⟩. ⟨hal-02083813⟩
  • Grégoire Allaire, yves Capdeboscq, Andrey Piatnitski. Homogenization and localization with an interface. Indiana University Mathematics Journal, Indiana University Mathematics Journal, 2003, 52 (6), pp.1413--1446. ⟨10.1512/iumj.2003.52.2352⟩. ⟨hal-02083811⟩
  • Grégoire Allaire, yves Capdeboscq. Homogenization and localization for a 1-D eigenvalue problem in a periodic medium with an interface. Annali di Matematica Pura ed Applicata, Springer Verlag, 2002, 181 (3), pp.247--282. ⟨10.1007/s102310100040⟩. ⟨hal-02083808⟩
  • Grégoire Allaire, yves Capdeboscq. Homogenization of a spectral problem in neutronic multigroup diffusion. Computer Methods in Applied Mechanics and Engineering, Elsevier, 2000, 187 (1-2), pp.91--117. ⟨10.1016/S0045-7825(99)00112-7⟩. ⟨hal-02083805⟩
  • 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⟩

Conference papers7 documents

  • 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⟩
  • 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. ⟨hal-01536668⟩
  • Grégoire Allaire, François Jouve, Georgios Michailidis. Casting constraints in structural optimization via a level-set method. 10th World Congress on Structural and Multidisciplinary Optimization, May 2013, Orlando, United States. ⟨hal-01088775⟩
  • Gloria Faccanoni, Samuel Kokh, Grégoire Allaire. Modeling and Simulation of Nucleate Boiling. EDP-Normandie, 2010, Caen, France. pp.49-53. ⟨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. ⟨hal-00976927⟩
  • Grégoire Allaire, Frédéric de Gournay, François Jouve. Optimisation de structures par la méthode des lignes de niveau. 7e colloque national en calcul des structures, CSMA, May 2005, Giens, France. ⟨hal-01814814⟩

Book sections2 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⟩
  • Emmanuel Dombre, Grégoire Allaire, 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⟩

Preprints, Working Papers, ...9 documents

  • Martin Bihr, Grégoire Allaire, Xavier Betbeder-Lauque, Beniamin Bogosel, Felipe Bordeu, et al.. Part and supports optimization in metal powder bed additive manufacturing using simplified process simulation. 2022. ⟨hal-03507990⟩
  • Jeet Desai, Grégoire Allaire, François Jouve, Chetra Mang. Topology optimization in quasi-static plasticity with hardening using a level-set method. 2021. ⟨hal-03259408v3⟩
  • Grégoire Allaire, Beniamin Bogosel, Matias Godoy. Shape optimization of an imperfect interface: steady-state heat diffusion. 2021. ⟨hal-03102760v2⟩
  • Mathilde Boissier, Grégoire Allaire, Christophe Tournier. CONCURRENT SHAPE OPTIMIZATION OF THE PART AND SCANNING PATH FOR POWDER BED FUSION ADDITIVE MANUFACTURING. 2021. ⟨hal-03124075v3⟩
  • A Ferrer, P Georoy-Donders, Grégoire Allaire. Stress minimization for lattice structures. Part I: Micro-structure design. 2020. ⟨hal-02889138v2⟩
  • Perle Geoffroy-Donders, Grégoire Allaire, Georgios Michailidis, Olivier Pantz. Coupled optimization of macroscopic structures and lattice infill. 2020. ⟨hal-02429166⟩
  • Grégoire Allaire, Andrey Piatnitski. On the asymptotic behaviour of the kernel of an adjoint convection-diffusion operator in a long cylinder. 2016. ⟨hal-01258747⟩
  • Grégoire Allaire, Olivier Bernard, Jean-François Dufrêche, Andro Mikelic. Ion transport through deformable porous media: derivation of the macroscopic equations using upscaling. 2015. ⟨hal-01215457⟩
  • Thomas Abballe, Marc Albertelli, Grégoire Allaire, Axelle Caron, Philippe Conraux, et al.. RODIN project, Topology Optimization 2.0?. 2015. ⟨hal-01237051⟩

Lectures1 document

  • Grégoire Allaire. Approximation numérique et optimisation. Une introduction à la modélisation mathématique et à la simulation numérique. École d'ingénieur. France. 2019. ⟨cel-02168288⟩