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hal-03102760v2  Preprints, Working Papers, ...
Grégoire Allaire, Beniamin Bogosel, Matias Godoy. Shape optimization of an imperfect interface: steady-state heat diffusion
2021
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hal-01522262v1  Journal articles
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
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hal-00932950v1  Journal articles
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
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hal-01242950v1  Journal articles
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
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hal-01089075v1  Journal articles
Grégoire Allaire, François Jouve. Minimum stress optimal design with the level set method
Engineering Analysis with Boundary Elements, Elsevier, 2008, 32, pp.909-918
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hal-00908250v1  Journal articles
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⟩
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hal-01341082v1  Journal articles
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
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hal-01695874v1  Journal articles
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
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hal-01111805v1  Journal articles
Grégoire Allaire. Homogenization and two-scale convergence
SIAM Journal on Mathematical Analysis, Society for Industrial and Applied Mathematics, 1992, 23 (6), pp.1482-1518
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cel-02168288v1  Lectures
Grégoire Allaire. Approximation numérique et optimisation. Une introduction à la modélisation mathématique et à la simulation numérique
École d'ingénieur. France. 2019
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hal-02889138v2  Preprints, Working Papers, ...
A Ferrer, P Georoy-Donders, Grégoire Allaire. Stress minimization for lattice structures. Part I: Micro-structure design
2020
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hal-02468684v1  Journal articles
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
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hal-00932949v1  Journal articles
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⟩
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hal-00012604v1  Journal articles
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-00937156v1  Journal articles
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⟩
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hal-01519017v2  Journal articles
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
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hal-00597633v1  Journal articles
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
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hal-00597620v1  Journal articles
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
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hal-01326805v1  Journal articles
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⟩
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hal-01336301v1  Journal articles
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
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hal-01072223v1  Journal articles
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⟩
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hal-01079515v1  Journal articles
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⟩
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hal-01215580v2  Journal articles
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⟩
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hal-00976927v1  Conference papers
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
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hal-00976983v1  Journal articles
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⟩
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hal-00977843v1  Conference papers
Gloria Faccanoni, Samuel Kokh, Grégoire Allaire. Modeling and Simulation of Nucleate Boiling
EDP-Normandie, 2010, Caen, France. pp.49-53
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hal-00976950v1  Journal articles
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⟩
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hal-00976940v1  Conference papers
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
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hal-00976919v1  Journal articles
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⟩