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Grégoire Allaire

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### 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:** 1993Habilitation à diriger des recherches, Université Pierre et Marie Curie.1989Docteur 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.1986Ingénieur diplomé de l'Ecole Polytechnique (promotion 1983). **Prix:** 2013Prix Dargelos de l'AX (association des anciens élèves et diplômés de l'Ecole Polytechnique).2011Grand Prix de la Fondation d'entreprise EADS (sciences et ingénierie) de l'Académie des Sciences de Paris.2007Conférencier pleinier au Congrès International de Mathématiques Appliquées et Industrielles, *ICIAM 2007,* à Zurich.1997Lauréat du prix *Simulation Numérique* du Concours Seymour Cray, avec S. Aubry, E. Bonnetier, F. Jouve.1996Lauréat 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 2000Professeur 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 1997Professeur associé à temps partiel au Laboratoire d'Analyse Numérique de l'Université Pierre et Marie Curie (Paris 6).De 1989 à 1997Chercheur 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 1989Doctorant 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.
### 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:** 1993Habilitation à diriger des recherches, Université Pierre et Marie Curie.1989Docteur 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.1986Ingénieur diplomé de l'Ecole Polytechnique (promotion 1983). **Prix:** 2013Prix Dargelos de l'AX (association des anciens élèves et diplômés de l'Ecole Polytechnique).2011Grand Prix de la Fondation d'entreprise EADS (sciences et ingénierie) de l'Académie des Sciences de Paris.2007Conférencier pleinier au Congrès International de Mathématiques Appliquées et Industrielles, *ICIAM 2007,* à Zurich.1997Lauréat du prix *Simulation Numérique* du Concours Seymour Cray, avec S. Aubry, E. Bonnetier, F. Jouve.1996Lauréat 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 2000Professeur 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 1997Professeur associé à temps partiel au Laboratoire d'Analyse Numérique de l'Université Pierre et Marie Curie (Paris 6).De 1989 à 1997Chercheur 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 1989Doctorant 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.

Publications

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Foreword to the special issue of Comptes Rendus Mécanique in the memory of Roland Glowinski

Grégoire Allaire , Jean-Michel Coron , Vivette Girault
Comptes Rendus. Mécanique, 2024, 351 (S1), pp.1-3. ⟨10.5802/crmeca.238⟩
Journal articles hal-04430320v1
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Damping optimization of viscoelastic thin structures, application and analysis

Antoni Joubert , Grégoire Allaire , Samuel Amstutz , Julie Diani
Structural and Multidisciplinary Optimization, 2023, 66 (7), pp.149. ⟨10.1007/s00158-023-03602-z⟩
Journal articles hal-04086548v1
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CONCURRENT SHAPE OPTIMIZATION OF THE PART AND SCANNING PATH FOR POWDER BED FUSION ADDITIVE MANUFACTURING

Mathilde Boissier , Grégoire Allaire , Christophe Tournier
SIAM Journal on Control and Optimization, 2023, 61 (2), pp.697-722. ⟨10.1137/21M1461976⟩
Journal articles hal-03124075v4
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Accessibility constraints in structural optimization via distance functions

Grégoire Allaire , Martin Bihr , Beniamin Bogosel , Matías Godoy
Journal of Computational Physics, 2023, 484, pp.112083. ⟨10.1016/j.jcp.2023.112083⟩
Journal articles hal-03864841v2
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TIME DEPENDENT SCANNING PATH OPTIMIZATION FOR THE POWDER BED FUSION ADDITIVE MANUFACTURING PROCESS

Mathilde Boissier , G Allaire , Christophe Tournier
Computer-Aided Design, 2022, 142, pp.103122. ⟨10.1016/j.cad.2021.103122⟩
Journal articles hal-03202102v2
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Topology optimization of supports with imperfect bonding in additive manufacturing

Grégoire Allaire , Beniamin Bogosel , Matías Godoy
Structural and Multidisciplinary Optimization, inPress
Journal articles hal-03538224v2
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Topology optimization of structures undergoing brittle fracture

Jeet Desai , Grégoire Allaire , François Jouve
Journal of Computational Physics, 2022, 458, ⟨10.1016/j.jcp.2022.111048⟩
Journal articles hal-03277281v1
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Non-linear boundary condition for non-ideal electrokinetic equations in porous media

Grégoire Allaire , Robert Brizzi , Christophe Labbez , Andro Mikelić
Applicable Analysis, 2022, 101 (12), pp.4203-4234. ⟨10.1080/00036811.2022.2080672⟩
Journal articles hal-03606572v1
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DAMPING OPTIMIZATION OF VISCOELASTIC CANTILEVER BEAMS AND PLATES UNDER FREE VIBRATION

A Joubert , G Allaire , S Amstutz , J Diani
Computers & Structures, 2022
Journal articles hal-03663567v1
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Enriched nonconforming multiscale finite element method for Stokes flows in heterogeneous media based on high-order weighting functions

Qingqing Feng , Grégoire Allaire , Pascal Omnes
Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 2022, 20 (1), ⟨10.1137/21M141926X⟩
Journal articles hal-03475694v1
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Coupled topology optimization of structure and connections for bolted mechanical systems

Lalaina Rakotondrainibe , Jeet Desai , Patrick Orval , Grégoire Allaire
European Journal of Mechanics - A/Solids, inPress
Journal articles hal-03273522v2
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Part and supports optimization in metal powder bed additive manufacturing using simplified process simulation

Martin Bihr , Grégoire Allaire , Xavier Betbeder-Lauque , Beniamin Bogosel , Felipe Bordeu
Computer Methods in Applied Mechanics and Engineering, 2022, 395, pp.114975. ⟨10.1016/j.cma.2022.114975⟩
Journal articles hal-03507990v1
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Stress minimization for lattice structures. Part I: Micro-structure design

A. Ferrer , P. Geoffroy-Donders , Grégoire Allaire
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2021, 379 (2201), pp.20200109. ⟨10.1098/rsta.2020.0109⟩
Journal articles hal-02889138v2
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Topological sensitivity analysis with respect to a small idealized bolt

Lalaina Rakotondrainibe , Grégoire Allaire , Patrick Orval
Engineering Computations, 2021, 39 (1), pp.115-146. ⟨10.1108/EC-03-2021-0131⟩
Journal articles hal-03157844v2
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Shape optimization of an imperfect interface: steady-state heat diffusion

Grégoire Allaire , Beniamin Bogosel , Matías Godoy
Journal of Optimization Theory and Applications, 2021, 191 (1), pp.169-201. ⟨10.1007/s10957-021-01928-6⟩
Journal articles hal-03102760v2
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Body-fitted topology optimization of 2D and 3D fluid-to-fluid heat exchangers

Florian Feppon , Grégoire Allaire , Charles Dapogny , Pierre Jolivet
Computer Methods in Applied Mechanics and Engineering, 2021, 376, pp.113638. ⟨10.1016/j.cma.2020.113638⟩
Journal articles hal-02924308v2
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Topology optimization in quasi-static plasticity with hardening using a level-set method

Jeet Desai , Grégoire Allaire , François Jouve , Chetra Mang
Structural and Multidisciplinary Optimization, 2021, 64, ⟨10.1007/s00158-021-03034-7⟩
Journal articles hal-03259408v3
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Coupled optimization of macroscopic structures and lattice infill

Perle Geoffroy-Donders , Grégoire Allaire , Georgios Michailidis , Olivier Pantz
International Journal for Numerical Methods in Engineering, 2020, 123 (13), pp.2963-2985. ⟨10.1002/nme.6392⟩
Journal articles hal-02429166v1
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Support optimization in additive manufacturing for geometric and thermo-mechanical constraints

Grégoire Allaire , Martin Bihr , Beniamin Bogosel
Structural and Multidisciplinary Optimization, 2020, 61, pp.2377-2399
Journal articles hal-02468684v1
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Null space gradient flows for constrained optimization with applications to shape optimization

Florian Feppon , Grégoire Allaire , Charles Dapogny
ESAIM: Control, Optimisation and Calculus of Variations, 2020, 26, pp.90. ⟨10.1051/cocv/2020015⟩
Journal articles hal-01972915v4
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A variational formulation for computing shape derivatives of geometric constraints along rays

Florian Feppon , Grégoire Allaire , Charles Dapogny
ESAIM: Mathematical Modelling and Numerical Analysis, 2020, 54 (1), pp.181-228. ⟨10.1051/m2an/2019056⟩
Journal articles hal-01879571v2
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Coupled optimization of macroscopic structures and lattice infill

Perle Geoffroy‐donders , Grégoire Allaire , Georgios Michailidis , Olivier Pantz
International Journal for Numerical Methods in Engineering, 2020, 123 (13), pp.2963-2985. ⟨10.1002/nme.6392⟩
Journal articles hal-03763325v1
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3-d topology optimization of modulated and oriented periodic microstructures by the homogenization method

Perle Geoffroy-Donders , Grégoire Allaire , Olivier Pantz
Journal of Computational Physics, 2020, 401, pp.108994
Journal articles hal-01939201v1
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Topology optimization of connections in mechanical systems

Lalaina Rakotondrainibe , Grégoire Allaire , Patrick Orval
Structural and Multidisciplinary Optimization, 2020
Journal articles hal-02433242v1
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Topology optimization of thermal fluid-structure systems using body-fitted meshes and parallel computing

Florian Feppon , Grégoire Allaire , Charles Dapogny , Pierre Jolivet
Journal of Computational Physics, 2020, 417, pp.109574. ⟨10.1016/j.jcp.2020.109574⟩
Journal articles hal-02518207v1
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ADDITIVE MANUFACTURING SCANNING PATHS OPTIMIZATION USING SHAPE OPTIMIZATION TOOLS

M Boissier , G. Allaire , Christophe Tournier
Structural and Multidisciplinary Optimization, 2020, 61, pp.2437-2466. ⟨10.1007/s00158-020-02614-3⟩
Journal articles hal-02410481v3
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Topology optimization of modulated and oriented periodic microstructures by the homogenization method

Grégoire Allaire , Perle Geoffroy-Donders , Olivier Pantz
Computers & Mathematics with Applications, 2019, 78, pp.2197-2229
Journal articles hal-01734709v2
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Structural optimization under internal porosity constraints using topological derivatives

Jesus Martínez-Frutos , Grégoire Allaire , Charles Dapogny , Francisco Periago
Computer Methods in Applied Mechanics and Engineering, 2019, 345, pp.1-25. ⟨10.1016/j.cma.2018.10.036⟩
Journal articles hal-01790472v1
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Shape Optimization of a Coupled Thermal Fluid-Structure Problem in a Level Set Mesh Evolution Framework

Florian Feppon , Grégoire Allaire , Felipe Bordeu , Julien Cortial , Charles Dapogny
SeMA Journal: Boletin de la Sociedad Española de Matemática Aplicada, 2019, 76 (3), pp.413-458. ⟨10.1007/s40324-018-00185-4⟩
Journal articles hal-01686770v3
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Taking into account thermal residual stresses in topology optimization of structures built by additive manufacturing

Grégoire Allaire , Lukas Jakabčin
Mathematical Models and Methods in Applied Sciences, 2018, 28 (12), pp.2313-2366. ⟨10.1142/S0218202518500501⟩
Journal articles hal-01666081v1
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Elasto-plastic shape optimization using the level set method

Aymeric Maury , Grégoire Allaire , François Jouve
SIAM Journal on Control and Optimization, 2018, 56 (1), pp.556-581
Journal articles hal-01519017v2
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Modal basis approaches in shape and topology optimization of frequency response problems

Grégoire Allaire , Georgios Michailidis
International Journal for Numerical Methods in Engineering, 2018, 113 (8), pp.1258-1299
Journal articles hal-01354162v1
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Linearized Navier-Stokes Equations for Aeroacoustics using Stabilized Finite Elements: Boundary Conditions and Industrial Application to Aft-Fan Noise Propagation

Aloïs Bissuel , Grégoire Allaire , Laurent Daumas , Sébastien Barré , Floriane Rey
Computers and Fluids, inPress
Journal articles hal-01695874v1
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Optimization of dispersive coefficients in the homogenization of the wave equation in periodic structures

Grégoire Allaire , T Yamada
Numerische Mathematik, 2018, 140 (2), pp.265-326
Journal articles hal-01341082v1
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Optimizing supports for additive manufacturing

Grégoire Allaire , Beniamin Bogosel
Structural and Multidisciplinary Optimization, 2018, 58 (6), pp.2493-2515
Journal articles hal-01769324v2
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Shape optimization of a layer by layer mechanical constraint for additive manufacturing

Grégoire Allaire , Charles Dapogny , Alexis Faure , Georgios Michailidis
Comptes Rendus. Mathématique, 2017, 355 (6), pp.699-717. ⟨10.1016/j.crma.2017.04.008⟩
Journal articles hal-01398877v2
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Introducing a level-set based shape and topology optimization method for the wear of composite materials with geometric constraints

Florian Feppon , G Michailidis , M.A. Sidebottom , Grégoire Allaire , B.A. Krick
Structural and Multidisciplinary Optimization, 2017, 55 (2), pp.547-568
Journal articles hal-01336301v1
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Structural optimization under overhang constraints imposed by additive manufacturing technologies

Grégoire Allaire , Charles Dapogny , Rafael Estevez , Alexis Faure , Georgios Michailidis
Journal of Computational Physics, 2017, 351, pp.295-328. ⟨10.1016/j.jcp.2017.09.041⟩
Journal articles hal-01523009v1
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HOMOGENIZATION OF STOKES SYSTEM USING BLOCH WAVES

Grégoire Allaire , Tuhin Ghosh , Muthusamy Vanninathan
Networks and Heterogeneous Media, 2017, 12 (4), pp.525-550
Journal articles hal-01522262v1
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Editorial. IFP Energies Nouvelles Conference: SimRace 2015: Numerical Methods and High Performance Computing for Industrial Fluid Flows

Stéphane de Chaisemartin , Grégoire Allaire
Oil & Gas Science and Technology - Revue d'IFP Energies nouvelles, 2017, 72 (2), pp.E1. ⟨10.2516/ogst/2017003⟩
Journal articles hal-01695236v1

Ion transport through deformable porous media:derivation of the macroscopic equations using upscaling

Grégoire Allaire , Olivier Bernard , Jean-François Dufrêche , Andro Mikelic
Computational & Applied Mathematics, 2017, 36, pp.1431-1462. ⟨10.1007/s40314-016-0321-0⟩
Journal articles hal-01278241v1
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Shape optimisation with the level set method for contact problems in linearised elasticity

Aymeric Maury , Grégoire Allaire , François Jouve
SMAI Journal of Computational Mathematics, 2017, 3, pp.249-292. ⟨10.5802/smai-jcm.27⟩
Journal articles hal-01435325v2
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On the asymptotic behaviour of the kernel of an adjoint convection-diffusion operator in a long cylinder

Grégoire Allaire , Andrey Piatnitski
Revista Matemática Iberoamericana, 2017, 33 (4), pp.1123-1148. ⟨10.4171/RMI/965⟩
Journal articles hal-01258747v1
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Instability of dielectrics and conductors in electrostatic fields

Grégoire Allaire , Jeffrey Rauch
Archive for Rational Mechanics and Analysis, 2017, 124, pp.233-268
Journal articles hal-01321566v1
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Geometric constraints for shape and topology optimization in architectural design

Charles Dapogny , Alexis Faure , Georgios Michailidis , Grégoire Allaire , Agnes Couvelas
Computational Mechanics, 2017, 59 (6), pp.933-965. ⟨10.1007/s00466-017-1383-6⟩
Journal articles hal-01354004v3
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Second-order shape derivatives along normal trajectories, governed by Hamilton-Jacobi equations

Grégoire Allaire , Eric Cancès , Jean-Léopold Vie
Structural and Multidisciplinary Optimization, 2016, ⟨10.1007/s00158-016-1514-2⟩
Journal articles hal-01326805v1
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A comparison between two-scale asymptotic expansions and Bloch wave expansions for the homogenization of periodic structures

Grégoire Allaire , Marc Briane , Muthusamy Vanninathan
SeMA Journal: Boletin de la Sociedad Española de Matemática Aplicada, 2016, 73 (3), pp.237-259. ⟨10.1007/s40324-016-0067-z⟩
Journal articles hal-01215580v2
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Stacking sequence and shape optimization of laminated composite plates via a level-set method

Grégoire Allaire , Gabriel Delgado
Journal of the Mechanics and Physics of Solids, 2016, 97, pp.168-196
Journal articles hal-01164929v2
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Thickness control in structural optimization via a level set method

Grégoire Allaire , François Jouve , Georgios Michailidis
Structural and Multidisciplinary Optimization, 2016, 53, pp.1349-1382
Journal articles hal-00985000v2
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Ion transport through deformable porous media: derivation of the macroscopic equations using upscaling

Grégoire Allaire , Olivier Bernard , Jean-François Dufrêche , Andro Mikelić
Computational & Applied Mathematics, 2016, 36 (3), pp.1431-1462. ⟨10.1007/s40314-016-0321-0⟩
Journal articles hal-01215457v1
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A deterministic approximation method in shape optimization under random uncertainties

Grégoire Allaire , Charles Dapogny
SMAI Journal of Computational Mathematics, 2015, 1, pp.83-143. ⟨10.5802/smai-jcm.5⟩
Journal articles hal-01160256v1
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A Priori Error Estimate of a Multiscale Finite Element Method for Transport Modeling

Franck Ouaki , Grégoire Allaire , Sylvain Desroziers , Guillaume Enchéry
SeMA Journal: Boletin de la Sociedad Española de Matemática Aplicada, 2015, 67 (1), pp.1-37
Journal articles hal-01071637v1
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A review of adjoint methods for sensitivity analysis, uncertainty quantification and optimization in numerical codes

Grégoire Allaire
Ingénieurs de l'Automobile, 2015, 836, pp.33-36
Journal articles hal-01242950v1
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A linearized approach to worst-case design in parametric and geometric shape optimization

Grégoire Allaire , Charles Dapogny
Mathematical Models and Methods in Applied Sciences, 2014, 24 (11), pp.2199-2257. ⟨10.1142/S0218202514500195⟩
Journal articles hal-00918896v2
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Material interface effects on the topology optimization of multi-phase structures using a level set method

Natasha Vermaak , Georgios Michailidis , Guillaume Parry , Raphael Estevez , Grégoire Allaire
Structural and Multidisciplinary Optimization, 2014, 50 (4), pp.623-644. ⟨10.1007/s00158-014-1074-2⟩
Journal articles hal-01072223v1
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Shape optimization with a level set based mesh evolution method

Grégoire Allaire , Charles Dapogny , Pascal Frey
Computer Methods in Applied Mechanics and Engineering, 2014, pp.doi:10.1016/j.cma.2014.08.028
Journal articles hal-00933545v2
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Multi-phase structural optimization via a level set method

Grégoire Allaire , Charles Dapogny , Gabriel Delgado , Georgios Michailidis
ESAIM: Control, Optimisation and Calculus of Variations, 2014, 20, pp.576-611. ⟨10.1051/cocv/2013076⟩
Journal articles hal-00839464v2
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Role of non-ideality for the ion transport in porous media: derivation of the macroscopic equations using upscaling

Grégoire Allaire , Robert Brizzi , Jean-François Dufrêche , Andro Mikelic , Andrey Piatnitski
Physica D: Nonlinear Phenomena, 2014, 282, pp.39-60. ⟨10.1016/j.physd.2014.05.007⟩
Journal articles hal-00863442v1
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Homogenization of a Conductive, Convective and Radiative Heat Transfer Problem in a Heterogeneous Domain

Grégoire Allaire , Zakaria Habibi
SIAM Journal on Mathematical Analysis, 2013, 45 (3), pp.1136-1178
Journal articles hal-00932950v1

Asymptotic analysis of the Poisson-Boltzmann equation describing electrokinetics in porous media

Grégoire Allaire , Jean-François Dufrêche , Andro Mikelic , Andrey Piatnitski
Nonlinearity, 2013, 26, pp.881--910. ⟨10.1088/0951-7715/26/3/881⟩
Journal articles hal-00863403v1
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A mesh evolution algorithm based on the level set method for geometry and topology optimization

Grégoire Allaire , Charles Dapogny , Pascal Frey
Structural and Multidisciplinary Optimization, 2013, 48 (4), pp.711-715. ⟨10.1007/s00158-013-0929-2⟩
Journal articles hal-00801704v1
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Diffraction of Bloch Wave Packets for Maxwell's Equations

Grégoire Allaire , Mariapia Palombaro , Jeffrey Rauch
Communications in Contemporary Mathematics, 2013, 15 (6), pp.1350040. ⟨10.1142/S0219199713500405⟩
Journal articles hal-00932946v1
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Second order corrector in the homogenization of a conductive-radiative heat transfer problem

Grégoire Allaire , Zakaria Habibi
Discrete and Continuous Dynamical Systems - Series B, 2013, 18 (1), pp.1-36. ⟨10.3934/dcdsb.2013.18.1⟩
Journal articles hal-00932949v1

Ion transport in porous media: derivation of the macroscopic equations using up-scaling and properties of the effective coefficients

Grégoire Allaire , Robert Brizzi , Jean-François Dufrêche , Andro Mikelic , Andrey Piatnitski
Computational Geosciences, 2013, 17 (3), pp.479-496. ⟨10.1007/s10596-013-9342-6⟩
Journal articles hal-00863401v1

Optimal design of micro-mechanisms by the homogenization method

Grégoire Allaire , François Jouve
Revue Européenne des Éléments Finis, 2012, 11 (2-4), pp.405-416. ⟨10.3166/reef.11.405-416⟩
Journal articles hal-03685214v1
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Modelling and Simulation of Liquid-Vapor Phase Transition in Compressible Flows Based on Thermodynamical Equilibrium.

Gloria Faccanoni , Samuel Kokh , Grégoire Allaire
ESAIM: Mathematical Modelling and Numerical Analysis, 2012, 46 (05), pp.1029-1054. ⟨10.1051/m2an/2011069⟩
Journal articles hal-00976983v1
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Homogenization of reactive flows in porous media and competition between bulk and surface diffusion

Grégoire Allaire , Harsha Hutridurga
IMA Journal of Applied Mathematics, 2012, 77, pp.788-815
Journal articles hal-00784041v1
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Homogenization and concentration for a diffusion equation with large convection in a bounded domain

Grégoire Allaire , I. Pankratova , Andrey Piatnitski
Journal of Functional Analysis, 2012, 262 (1), pp.300-330. ⟨10.1016/j.jfa.2011.09.014⟩
Journal articles hal-00784043v1
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Homogenization of a One-Dimensional Spectral Problem for a Singularly Perturbed Elliptic Operator with Neumann Boundary Conditions

Grégoire Allaire , Y. Capdeboscq , Marjolaine Puel
Discrete and Continuous Dynamical Systems - Series B, 2012, 17, pp.1-31. ⟨10.3934/dcdsb.2012.17.1⟩
Journal articles hal-00784042v1
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Homogenization of a nonstationary convection-diffusion equation in a thin rod and in a layer

Grégoire Allaire , Iryna Pankratova , Andrey Piatnitski
SeMA Journal: Boletin de la Sociedad Española de Matemática Aplicada, 2012, 58 (1), pp.53-95. ⟨10.1007/BF03322605⟩
Journal articles hal-00784040v1
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Homogenization and concentration for a diffusion equation with large convection in a bounded domain

Grégoire Allaire , Irina Pankratova , Andrey Piatnitski
Journal of Functional Analysis, 2012, 262 (1), pp.300-330. ⟨10.1016/j.jfa.2011.09.014⟩
Journal articles hal-00908250v1
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A la recherche de l'inégalité perdue

Grégoire Allaire
Matapli, 2012, 98, pp.52-64
Journal articles hal-01111806v1
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Damage and fracture evolution in brittle materials by shape optimization methods

Grégoire Allaire , François Jouve , Nicolas van Goethem
Journal of Computational Physics, 2011, 230 (12), pp.5010--5044
Journal articles hal-00784048v1
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Homogenization of the linearized ionic transport equations in rigid periodic porous media

Grégoire Allaire , Andro Mikelic , Andrey Piatnitski
Journal of Mathematical Physics, 2011, 52 (6), pp.063701. ⟨10.1063/1.3521555⟩
Journal articles hal-00784050v1
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Topology and geometry optimization of elastic structures by exact deformation of simplicial mesh

Grégoire Allaire , Charles Dapogny , Pascal Frey
Comptes Rendus. Mathématique, 2011, 349 (17-18), pp.999--1003
Journal articles hal-00784047v1
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Optimal Design of Low-contrast Two-phase Structures For the Wave Equation

Grégoire Allaire , Alex Kelly
Mathematical Models and Methods in Applied Sciences, 2011, 21 (7), pp.1499--1538. ⟨10.1142/S0218202511005477⟩
Journal articles hal-00784049v1
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Homogenization approach to the dispersion theory for reactive transport through porous media

Grégoire Allaire , Andro Mikelic , Andrey Piatnitski
SIAM Journal on Mathematical Analysis, 2010, 42 (1), pp.125-144
Journal articles hal-00784056v1

Application of a coupled FV/FE multiscale method to cement media

Th. Abballe , Grégoire Allaire , E. Laucoin , Ph. Montarnal
Networks and Heterogeneous Media, 2010, 5 (3), pp.603-615. ⟨10.3934/nhm.2010.5.603⟩
Journal articles hal-00784059v1
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Two-scale expansion with drift approach to the Taylor dispersion for reactive transport through porous media

Grégoire Allaire , Robert Brizzi , Andro Mikelic , Andrey Piatnitski
Chemical Engineering Science, 2010, 65, pp.2292-2300
Journal articles hal-00784057v1
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Approximation of Liquid-Vapor Phase Transition for Compressible Fluids with Tabulated EOS

Gloria Faccanoni , Samuel Kokh , Grégoire Allaire
Comptes Rendus de l'Academie des Sciences. Série IV, Physique, Astronomie, 2010, 348 (7-8), pp.473-478. ⟨10.1016/j.crma.2010.01.012⟩
Journal articles hal-00976950v1
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Localization of high frequency waves propagating in a locally periodic medium

Grégoire Allaire , Luis Friz
Proceedings of the Royal Society of Edinburgh: Section A, Mathematics, 2010, 140A, pp.897-926
Journal articles hal-00784055v1
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Homogenization of nonlinear reaction-diffusion equation with a large reaction term

Grégoire Allaire , Andrey Piatnitski
Annali dell'Universita di Ferrara, 2010, 56, pp.141-161
Journal articles hal-00784058v1
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Two Asymptotic Models for Arrays of Underground Waste Containers

Grégoire Allaire , M. Briane , R. Brizzi , Y. Capdeboscq
Applicable Analysis, 2009, 88, pp.1445-1467
Journal articles hal-00784062v1
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Homogenization of a conductive and radiative heat transfer problem

Grégoire Allaire , K. El Ganaoui
Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 2009, 7 (3), pp.1148-1170. ⟨10.1137/080714737⟩
Journal articles hal-00784061v1
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Design et formes optimales (II) : Optimisation géométrique

Grégoire Allaire , François Jouve
Images des Mathématiques, 2009, http://images.math.cnrs.fr/Design-et-formes-optimales-II.html
Journal articles hal-00597633v1
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Design et formes optimales (III) : Optimisation topologique

Grégoire Allaire , François Jouve
Images des Mathématiques, 2009, http://images.math.cnrs.fr/Design-et-formes-optimales-III.html
Journal articles hal-00597641v1
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TWO ASYMPTOTIC MODELS FOR ARRAYS OF UNDERGROUND WASTE CONTAINERS

Grégoire Allaire , Marc Briane , Robert Brizzi , Yves Capdeboscq
Applicable Analysis, 2009, 88 (10-11), pp.1445-1467. ⟨10.1080/00036810902922590⟩
Journal articles hal-00352797v1
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Diffractive behavior of the wave equation in periodic media: weak convergence analysis

Grégoire Allaire , M. Palombaro , J. Rauch
Annali di Matematica Pura ed Applicata, 2009, 188, pp.561-590. ⟨10.1007/s10231-008-0089-y⟩
Journal articles hal-00784060v1
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Design et formes optimales (I): Contexte

Grégoire Allaire , François Jouve
Images des Mathématiques, 2009, http://images.math.cnrs.fr/Design-et-formes-optimales-I.html
Journal articles hal-00597620v1
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Minimum stress optimal design with the level set method

Grégoire Allaire , François Jouve
Engineering Analysis with Boundary Elements, 2008, 32, pp.909-918
Journal articles hal-01089075v1
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Shape and topology optimization of the robust compliance via the level set method

Grégoire Allaire , Frédéric de Gournay , François Jouve
ESAIM: Control, Optimisation and Calculus of Variations, 2008, 14 (14), pp.43--70. ⟨10.1051/cocv:2007048⟩
Journal articles hal-00784065v1
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A strictly hyperbolic equilibrium phase transition model

Grégoire Allaire , Gloria Faccanoni , Samuel Kokh
Comptes Rendus de l'Academie des Sciences. Série IV, Physique, Astronomie, 2007, 344, pp.135-140. ⟨10.1016/j.crma.2006.11.008⟩
Journal articles hal-00976919v1
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Homogenization of the Schrodinger equation with a time oscillating potential

Grégoire Allaire , Muthusamy Vanninathan
Discrete and Continuous Dynamical Systems - Series B, 2006, 6, pp.1-16
Journal articles hal-00012604v1
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Structural Optimization with FreeFem++

Grégoire Allaire , Olivier Pantz
Structural and Multidisciplinary Optimization, 2006, 32, pp.173-181
Journal articles hal-01089081v1
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TEST-CASE NO 19: SHOCK-BUBBLE INTERACTION (PN)

Samuel Kokh , G. Allaire
Multiphase Science and Technology, 2004, 16 (1-3), pp.117-120. ⟨10.1615/multscientechn.v16.i1-3.190⟩
Journal articles hal-03827926v1
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Structural optimization using sensitivity analysis and a level-set method

Grégoire Allaire , François Jouve , Anca-Maria Toader
Journal of Computational Physics, 2004, 194, pp.363-393. ⟨10.1016/j.jcp.2003.09.032⟩
Journal articles hal-01079515v1
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Homogenization of periodic systems with large potentials

Grégoire Allaire , Yves Capdeboscq , Andrey Piatnitski , Vincent Siess , Muthusamy Vanninathan
Archive for Rational Mechanics and Analysis, 2004, 174 (2), pp.179--220. ⟨10.1007/s00205-004-0332-7⟩
Journal articles hal-02083813v1
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Homogenization and localization with an interface

Grégoire Allaire , Yves Capdeboscq , Andrey Piatnitski
Indiana University Mathematics Journal, 2003, 52 (6), pp.1413--1446. ⟨10.1512/iumj.2003.52.2352⟩
Journal articles hal-02083811v1
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Homogenization and localization for a 1-D eigenvalue problem in a periodic medium with an interface

Grégoire Allaire , Yves Capdeboscq
Annali di Matematica Pura ed Applicata, 2002, 181 (3), pp.247--282. ⟨10.1007/s102310100040⟩
Journal articles hal-02083808v1
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Homogenization of a spectral problem in neutronic multigroup diffusion

Grégoire Allaire , Yves Capdeboscq
Computer Methods in Applied Mechanics and Engineering, 2000, 187 (1-2), pp.91--117. ⟨10.1016/S0045-7825(99)00112-7⟩
Journal articles hal-02083805v1
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Homogenization and two-scale convergence

Grégoire Allaire
SIAM Journal on Mathematical Analysis, 1992, 23 (6), pp.1482-1518
Journal articles hal-01111805v1

A R&D software platform for shape and topology optimization using body-fitted meshes

David Danan , Chiara Nardoni , Felipe Bordeu , Julien Cortial , Chetra Mang
15th World Congress on Computational Mechanics (WCCM-APCOM), Jul 2022, Yokohama, Japan
Conference papers hal-03939080v1

A R&D software platform for shape and topology optimization using body-fitted meshes

Chiara Nardoni , David Danan , Felipe Bordeu , Julien Cortial , Chetra Mang
The 8th European Congress on Computational Methods in Applied Sciences and Engineering ECCOMAS Congress 2022, Jun 2022, Oslo, Norway
Conference papers hal-04045153v1
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Optimisation de forme de poutres et plaques viscoélastiques en vibration libre

Antoni Joubert , Grégoire Allaire , Samuel Amstutz , Julie Diani
15ème colloque national en calcul des structures, Université Polytechnique Hauts-de-France [UPHF], May 2022, 83400 Hyères-les-Palmiers, France
Conference papers hal-03717674v1
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Precise 3D reactor core calculation using Spherical Harmonics and Discontinuous Galerkin Finite Element Methods

Kenneth Assogba , Lahbib Bourhrara , Igor Zmijarevic , Grégoire Allaire
PHYSOR 2022 - International Conference on Physics of Reactors 2022, May 2022, Pittsburgh, United States. pp.1224-1233, ⟨10.13182/PHYSOR22-37354⟩
Conference papers hal-03878111v1

Concurrent shape optimization of the part and scanning path for additive manufacturing

Mathilde Boissier , Grégoire Allaire , Christophe Tournier
WCSMO, 14th World Congress of Structural and Multidsiciplinary Optimization, 2021, Boulder (CO), United States
Conference papers hal-04014388v1
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Optimisation de trajectoire pour le procédé de fabrication Laser Powder Bed Fusion (LPBF)

M Boissier , G. Allaire , Christophe Tournier
CSMA, 14eme Colloque National en Calcul des Structures, May 2019, Giens, France
Conference papers hal-02310428v1
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Laser Path Optimization For Additive Manufacturing

M Boissier , G. Allaire , Christophe Tournier
The World Congress of Structural and Multidisciplinary Optimization, May 2019, Beijing, China
Conference papers hal-02310434v1
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Optimisation topologique en mécanique de contact par la méthode des lignes de niveaux

Jeet Desai , G. Allaire , F Jouve , Chiara Nardoni
CSMA 2019, May 2019, Giens, France
Conference papers hal-02494686v1
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Optimisation de trajectoire pour le procédé de fabrication Laser Powder Bed Fusion (LPBF)

M Boissier , G Allaire , Christophe Tournier
CSMA, 14eme Colloque National en Calcul des Structures, May 2019, Giens, France
Conference papers hal-04014377v1
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Développement d'un couplage "intriqué" entre thermomécanique et diffusion neutronique

Cyril Patricot , Grégoire Allaire , Olivier Fandeur
13e colloque national en calcul des structures, Université Paris-Saclay, May 2017, Giens, Var, France
Conference papers hal-01899361v1
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Structural optimization under overhang constraints imposed by additive manufacturing processes: an overview of some recent results

Grégoire Allaire , Charles Dapogny , Rafael Estevez , Alexis Faure , Georgios Michailidis
Cedya + CMA 2017, Jun 2017, Cartagena, Spain
Conference papers hal-01589906v1
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A First Finite Element Solver Shared By Neutron Diffusion, Heat Transfer And Mechanics

C. Patricot , G. Allaire , O. Fandeur
M&C - 2017 International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, Apr 2017, Jeju, South Korea
Conference papers cea-02434531v1
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A model of layer by layer mechanical constraint for additive manufacturing in shape and topology optimization

Grégoire Allaire , Charles Dapogny , Alexis Faure , Georgios Michailidis
12th World Congress on Structural and Multidisciplinary Optimization (WCSMO12), Jun 2017, Brunswick, Germany
Conference papers hal-01536668v1
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A First Finite Element Solver Shared by Neutron Diffusion,Heat Transfer and Mechanics

C. Patricot , G. Allaire , O. Fandeur
M&C 2017 - International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, Apr 2017, Jeju, South Korea
Conference papers cea-02438343v1
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Multi-phase structural optimization of multi-layered composites and viscoelastic materials

G Delgado , G. Allaire , M Hamdaoui
XXV Congreso de Ecuaciones Diferenciales y Aplicaciones (CEDYA) + XV Congreso de Matemática Aplicada (CMA), Jun 2017, Carthagène, Spain
Conference papers hal-01616471v1
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TOPOLEV: Topological optimization using level-set method

Damien Lachouette , Philippe Conraux , Grégoire Allaire , François Jouve
13e colloque national en calcul des structures, Université Paris-Saclay, May 2017, Giens, Var, France
Conference papers hal-01899357v1
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Optimization of oriented and parametric cellular structures by the homogenization method

Perle Geoffroy-Donders , Grégoire Allaire , Julien Cortial , Olivier Pantz
12th World Congress on Structural and Multidisciplinary Optimization (WCSMO12) , Jun 2017, Braunschweig, Germany
Conference papers hal-01537841v1
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RODIN project, Topology Optimization 2.0?

Thomas Abballe , Marc Albertelli , Grégoire Allaire , Axelle Caron , Philippe Conraux
Congrès "Simulation" de la Société des Ingénieurs de l'Automobile (SIA), Société des Ingénieurs de l'Automobile (SIA), Mar 2015, Montigny le Bretonneux, France
Conference papers hal-01237051v1
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Topological shape optimization using level-set method

Damien Lachouette , Grégoire Allaire , François Jouve , Marc Albertelli , Vasili Srithammavanh
12e Colloque national en calcul des structures, CSMA, May 2015, Giens, France
Conference papers hal-01403191v1
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Optimisation de forme appliquée aux matériaux micro-architecturés incluant la gestion d'interfaces graduées

Alexis Faure , Georgios Michailidis , Rafael Estevez , Guillaume Parry , Yves Bréchet
12e Colloque national en calcul des structures, CSMA, May 2015, Giens, France
Conference papers hal-01516458v1
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Casting constraints in structural optimization via a level-set method

Grégoire Allaire , François Jouve , Georgios Michailidis
10th World Congress on Structural and Multidisciplinary Optimization, May 2013, Orlando, United States
Conference papers hal-01088775v1
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Homogenization of reactive flows in periodic porous media

Grégoire Allaire , Harsha Hutridurga
CFM 2011 - 20ème Congrès Français de Mécanique, Aug 2011, Besançon, France
Conference papers hal-03422615v1
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Modeling and Simulation of Nucleate Boiling

Gloria Faccanoni , Samuel Kokh , Grégoire Allaire
EDP-Normandie, 2010, Caen, France. pp.49-53
Conference papers hal-00977843v1
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Modelling and Numerical Simulation of Liquid-Vapor Phase Transition

Gloria Faccanoni , Grégoire Allaire , Samuel Kokh
EUROTHERM: Seminar on Thermodynamics of Phase Changes, 2009, Namur, Belgium
Conference papers hal-00976940v1
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Numerical Simulation with Finite Volume of Dynamic Liquid-Vapor Phase Transition

Gloria Faccanoni , Samuel Kokh , Grégoire Allaire
FVCA5, Jun 2008, Aussois, France. pp.391-398
Conference papers hal-00976927v1
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Optimisation de structures par la méthode des lignes de niveau

Grégoire Allaire , Frédéric de Gournay , François Jouve
7e colloque national en calcul des structures, CSMA, May 2005, Giens, France
Conference papers hal-01814814v1
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Shape and topology optimization

Grégoire Allaire , Charles Dapogny , François Jouve
Andrea Bonito; Ricardo H. Nochetto. Geometric partial differential equations, part II, 22, 2021, Handbook of Numerical Analysis, ⟨10.1016/bs.hna.2020.10.004⟩
Book sections hal-02496063v1
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Molding direction constraints in structural optimization via a level-set method

Grégoire Allaire , François Jouve , Georgios Michailidis
Variational Analysis and Aerospace Engineering, Springer, pp.1-39, 2016, 978-3-319-45680-5. ⟨10.1007/978-3-319-45680-5⟩
Book sections hal-01242945v1

Shape Optimization of a Sodium Fast Reactor Core

Emmanuel Dombre , Grégoire Allaire , Olivier Pantz
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
Book sections hal-00784176v1