Edit Profile (opens in new tab) Allaire, Grégoire Co-Author Distance Author ID: allaire.gregoire Published as: Allaire, Grégoire; Allaire, G.; Allaire, Gregoire more...less Homepage: http://www.cmap.polytechnique.fr/~allaire/ External Links: MGP · Wikidata · GND · IdRef · theses.fr Documents Indexed: 161 Publications since 1989, including 6 Books 1 Contribution as Editor Co-Authors: 105 Co-Authors with 135 Joint Publications 1,756 Co-Co-Authors all top 5 Co-Authors 26 single-authored 20 Jouve, François 15 Dapogny, Charles 15 Piatnitski, Andrey L. 9 Conca, Carlos 8 Mikelić, Andro 7 Kokh, Samuel 7 Rauch, Jeffrey B. 6 Capdeboscq, Yves 6 Vanninathan, Muthusamy 5 Brizzi, Robert 5 Feppon, Florian 5 Michailidis, Georgios 5 Palombaro, Mariapia 5 Pantz, Olivier 4 Dufrêche, Jean-François 4 Faccanoni, Gloria 4 Kohn, Robert Vita 4 Toader, Anca-Maria 3 Bal, Guillaume 3 Bogoşel, Beniamin 3 Briane, Marc 3 Faure, Alexis 3 Francfort, Gilles A. 3 Geoffroy-Donders, Perle 3 Hutridurga, Harsha 2 Aubry, Sylvie 2 Bihr, Martin 2 Bonnetier, Eric 2 Bordeu, Felipe 2 Clerc, Sébastien 2 de Gournay, Frédéric 2 Delgado, Gabriel 2 Desai, Jeet 2 Estevez, Rafael 2 Frey, Pascal Jean 2 Friz, Luis 2 Godoy, Matías 2 Habibi, Zakaria 2 Henrot, Antoine 2 Jolivet, Pierre 2 Maillot, Hervé 2 Maury, Aymeric 2 Orive Illera, Rafael 2 Pankratova, Iryna L. 2 Periago, Francisco 2 Siess, Vincent 2 Van Goethem, Nicolas 1 Abballe, Thomas 1 Amar, Micol 1 Amaziane, Brahim 1 Barré, Sébastien 1 Belhachmi, Zakaria 1 Bendsøe, Martin Philip 1 Bernard, Olivier 1 Betbeder-Lauque, Xavier 1 Bissuel, Aloïs 1 Blanc, Xavier 1 Boissier, Mathilde 1 Cavallina, Lorenzo 1 Cortial, Julien 1 Couvelas, Agnes 1 Daumas, Laurent 1 Després, Bruno 1 Desroziers, Sylvain 1 Dombre, Emmanuel 1 El Ganaoui, Karima 1 Enchéry, Guillaume 1 Feng, Qingqing 1 Ferriero, Alessandro 1 Ghosh, Tuhin 1 Gilbert, Robert Pertsch 1 Golse, François 1 Gutiérrez, Sergio 1 Jäger, Willy 1 Jakabčin, Lukáš 1 Kaber, Sidimahmoud 1 Kelly, Alex 1 Labbez, Christophe 1 Lamacz-Keymling, Agnes 1 Lamacz, Agnes 1 Laucoin, Éli 1 Lods, Véronique 1 Malige, François 1 Martínez-Frutos, Jesús 1 Miyake, Nobuhito 1 Montarnal, Philippe 1 Münch, Arnaud 1 Murat, François 1 Oka, Tomoyuki 1 Omnes, Pascal 1 Ortega, Jaime H. 1 Orval, Patrick 1 Ouaki, Franck 1 Planchard, Jacques 1 Puel, Marjolaine 1 Querois, Julie 1 Rakotondrainibe, Lalaina 1 Raphael, Anne-Lise 1 Rey, Floriane 1 Schmitt, Damien ...and 5 more Co-Authors all top 5 Serials 8 Computer Methods in Applied Mechanics and Engineering 8 Journal of Computational Physics 6 Archive for Rational Mechanics and Analysis 6 Comptes Rendus de l’Académie des Sciences. Série I 6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 6 Discrete and Continuous Dynamical Systems. Series B 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 SIAM Journal on Mathematical Analysis 4 Applicable Analysis 4 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 4 S\(\vec{\text{e}}\)MA Journal 3 Numerische Mathematik 3 Quarterly of Applied Mathematics 3 SIAM Journal on Control and Optimization 3 Asymptotic Analysis 3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Multiscale Modeling & Simulation 3 Structural and Multidisciplinary Optimization 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Journal of Mathematical Physics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Control and Cybernetics 2 International Journal for Numerical Methods in Engineering 2 Revue Européenne des Éléments Finis 2 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 2 Portugaliae Mathematica. Nova Série 2 Networks and Heterogeneous Media 2 Matapli 2 SMAI Journal of Computational Mathematics 1 Computers and Fluids 1 Computers & Mathematics with Applications 1 Communications in Mathematical Physics 1 Communications on Pure and Applied Mathematics 1 IMA Journal of Applied Mathematics 1 Journal of Mathematical Analysis and Applications 1 Journal of the Mechanics and Physics of Solids 1 Nonlinearity 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Indiana University Mathematics Journal 1 Journal of Functional Analysis 1 Journal of Optimization Theory and Applications 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Physica D 1 Revista Matemática Iberoamericana 1 Computational Mechanics 1 European Journal of Mechanics. A. Solids 1 Communications in Partial Differential Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Séminaire Équations aux Dérivées Partielles 1 Computational and Applied Mathematics 1 Engineering Analysis with Boundary Elements 1 European Journal of Mechanics. A. Solids 1 Interdisciplinary Information Sciences (IIS) 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Computational Geosciences 1 Communications in Contemporary Mathematics 1 Comptes Rendus de l’Académie des Sciences. Série IIb. Mécanique 1 Applied Mathematical Sciences 1 Mathématiques & Applications (Berlin) 1 Texts in Applied Mathematics 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Séminaire Laurent Schwartz. EDP et Applications 1 Numerical Mathematics and Scientific Computation all top 5 Fields 87 Partial differential equations (35-XX) 76 Mechanics of deformable solids (74-XX) 46 Calculus of variations and optimal control; optimization (49-XX) 38 Fluid mechanics (76-XX) 36 Numerical analysis (65-XX) 12 Statistical mechanics, structure of matter (82-XX) 8 Operations research, mathematical programming (90-XX) 6 Optics, electromagnetic theory (78-XX) 5 Classical thermodynamics, heat transfer (80-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Operator theory (47-XX) 2 Quantum theory (81-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 146 Publications have been cited 5,083 times in 3,149 Documents Cited by ▼ Year ▼ Homogenization and two-scale convergence. Zbl 0770.35005 Allaire, Grégoire 917 1992 Structural optimization using sensitivity analysis and a level-set method. Zbl 1136.74368 Allaire, Grégoire; Jouve, François; Toader, Anca-Maria 616 2004 Shape optimization by the homogenization method. Zbl 0990.35001 Allaire, Grégoire 379 2002 A five-equation model for the simulation of interfaces between compressible fluids. Zbl 1169.76407 Allaire, Grégoire; Clerc, Sébastien; Kokh, Samuel 192 2002 Homogenization of the Navier-Stokes equations in open sets perforated with tiny holes. I: Abstract framework, a volume distribution of holes. Zbl 0724.76020 Allaire, Grégoire 135 1991 Multiscale convergence and reiterated homogenisation. Zbl 0866.35017 Allaire, G.; Briane, M. 128 1996 Structural optimization using topological and shape sensitivity via a level set method. Zbl 1167.49324 Allaire, Grégoire; de Gournay, Frédéric; Jouve, François; Toader, Anca-Maria 124 2005 A level-set method for shape optimization. Zbl 1115.49306 Allaire, Grégoire; Jouve, François; Toader, Anca-Maria 120 2002 Optimal treatment of structures. (Conception optimale de structures.) Zbl 1132.49033 Allaire, Grégoire 100 2007 Shape optimization by the homogenization method. Zbl 0889.73051 Allaire, Grégoire; Bonnetier, Eric; Francfort, Gilles; Jouve, François 93 1997 Homogenization of the Stokes flow in a connected porous medium. Zbl 0682.76077 Allaire, Grégoire 84 1989 Homogenization of the Navier-Stokes equations in open sets perforated with tiny holes. II: Non-critical sizes of the holes for a volume distribution and a surface distribution of holes. Zbl 0724.76021 Allaire, Grégoire 84 1991 A level-set method for vibration and multiple loads structural optimization. Zbl 1091.74038 Allaire, Grégoire; Jouve, François 78 2005 Optimal design for minimum weight and compliance in plane stress using extremal microstructures. Zbl 0794.73044 Allaire, G.; Kohn, Robert V. 75 1993 Boundary layer tails in periodic homogenization. Zbl 0922.35014 Allaire, Grégoire; Amar, Micol 72 1999 Numerical analysis and optimization. An introduction to mathematical modelling and numerical simulation. Translation from the French by Alan Craig. Zbl 1120.65001 Allaire, Grégoire 63 2007 A multiscale finite element method for numerical homogenization. Zbl 1093.35007 Allaire, Grégoire; Brizzi, Robert 61 2005 Bloch wave homogenization and spectral asymptotic analysis. Zbl 0901.35005 Allaire, Grégoire; Conca, Carlos 60 1998 Shape optimization with a level set based mesh evolution method. Zbl 1423.74739 Allaire, G.; Dapogny, C.; Frey, P. 54 2014 Homogenization of the Schrödinger equation and effective mass theorems. Zbl 1081.35092 Allaire, Grégoire; Piatnitski, Andrey 52 2005 Minimum stress optimal design with the level set method. Zbl 1244.74104 Allaire, Grégoire; Jouve, François 45 2008 Damage and fracture evolution in brittle materials by shape optimization methods. Zbl 1356.74178 Allaire, Grégoire; Jouve, François; Van Goethem, Nicolas 44 2011 Topology optimization for minimum stress design with the homogenization method. Zbl 1243.74148 Allaire, Grégoire; Jouve, François; Maillot, Hervé 42 2004 Multi-phase structural optimization via a level set method. Zbl 1287.49045 Allaire, G.; Dapogny, C.; Delgado, G.; Michailidis, G. 42 2014 Optimal bounds on the effective behavior of a mixture of two well-ordered elastic materials. Zbl 0805.73043 Allaire, Grégoire; Kohn, Robert V. 41 1993 Shape and topology optimization of the robust compliance via the level set method. Zbl 1245.49054 De Gournay, Frédéric; Allaire, Grégoire; Jouve, François 38 2008 Structural optimization with FreeFem++. Zbl 1245.74049 Allaire, Grégoire; Pantz, Olivier 38 2006 Homogenization of the Neumann problem with nonisolated holes. Zbl 0823.35014 Allaire, Grégoire; Murat, François 37 1993 Structural optimization under overhang constraints imposed by additive manufacturing technologies. Zbl 1375.74076 Allaire, G.; Dapogny, C.; Estevez, R.; Faure, A.; Michailidis, G. 37 2017 A comparison between two-scale asymptotic expansions and Bloch wave expansions for the homogenization of periodic structures. Zbl 1364.35029 Allaire, Gregoire; Briane, M.; Vanninathan, M. 34 2016 Shape optimization of a coupled thermal fluid-structure problem in a level set mesh evolution framework. Zbl 1422.49038 Feppon, F.; Allaire, G.; Bordeu, F.; Cortial, J.; Dapogny, C. 33 2019 Homogenization of the Navier-Stokes equations with a slip boundary condition. Zbl 0738.35059 Allaire, Grégoire 31 1991 Topology optimization of modulated and oriented periodic microstructures by the homogenization method. Zbl 1443.74246 Allaire, Grégoire; Geoffroy-Donders, Perle; Pantz, Olivier 31 2019 Numerical linear algebra. Zbl 1135.65014 Allaire, Grégoire; Kaber, Sidi Mahmoud 30 2008 Second order corrector in the homogenization of a conductive-radiative heat transfer problem. Zbl 1270.35053 Allaire, Grégoire; Habibi, Zakaria 29 2013 Homogenization of a convection-diffusion model with reaction in a porous medium. Zbl 1114.35007 Allaire, Grégoire; Raphael, Anne-Lise 26 2007 Continuity of Darcy’s law in thelow-volume fraction limit. Zbl 0755.35084 Allaire, Grégoire 26 1991 Shape and topology optimization. Zbl 1475.49048 Allaire, Grégoire; Dapogny, Charles; Jouve, François 26 2021 Homogenization of periodic systems with large potentials. Zbl 1072.35023 Allaire, Grégoire; Capdeboscq, Yves; Piatnitski, Andrey; Siess, Vincent; Vanninathan, M. 25 2004 Homogenization of the criticality spectral equation in neutron transport. Zbl 0931.35010 Allaire, Grégoire; Bal, Guillaume 24 1999 Homogenization of the unsteady Stokes equations in porous media. Zbl 0801.35103 Allaire, G. 24 1993 Explicit optimal bounds on the elastic energy of a two-phase composite in two space dimensions. Zbl 0805.73042 Allaire, Grégoire; Kohn, Robert V. 24 1993 Homogenization of a conductive and radiative heat transfer problem. Zbl 1180.35062 Allaire, Grégoire; El Ganaoui, Karima 23 2009 A linearized approach to worst-case design in parametric and geometric shape optimization. Zbl 1297.49075 Allaire, Grégoire; Dapogny, Charles 23 2014 Eigenfrequency optimization in optimal design. Zbl 1004.74063 Allaire, Grégoire; Aubry, Sylvie; Jouve, François 22 2001 Homogenization of a spectral problem in neutronic multigroup diffusion. Zbl 1126.82346 Allaire, Grégoire; Capdeboscq, Yves 21 2000 Homogenization approach to the dispersion theory for reactive transport through porous media. Zbl 1213.35057 Allaire, Grégoire; Mikelić, Andro; Piatnitski, Andrey 20 2010 Taking into account thermal residual stresses in topology optimization of structures built by additive manufacturing. Zbl 1411.49028 Allaire, Grégoire; Jakabčin, Lukas 20 2018 Homogenization of the linearized ionic transport equations in rigid periodic porous media. Zbl 1314.76039 Allaire, Grégoire; Mikelić, Andro; Piatnitski, Andrey 19 2010 3-d topology optimization of modulated and oriented periodic microstructures by the homogenization method. Zbl 1453.74072 Geoffroy-Donders, Perle; Allaire, Grégoire; Pantz, Olivier 19 2020 Long time behavior of a two-phase optimal design for the heat equation. Zbl 1298.35015 Allaire, Grégoire; Münch, Arnaud; Periago, Francisco 18 2010 A five-equation model for the numerical simulation of interfaces in two-phase flows. Zbl 1010.76055 Allaire, Grégoire; Clerc, Sébastien; Kokh, Samuel 18 2000 Modelling and simulation of liquid-vapor phase transition in compressible flows based on thermodynamical equilibrium. Zbl 1267.76110 Faccanoni, Gloria; Kokh, Samuel; Allaire, Grégoire 18 2012 Homogenization of a conductive, convective, and radiative heat transfer problem in a heterogeneous domain. Zbl 1276.35019 Allaire, Grégoire; Habibi, Zakaria 18 2013 Minimizers for a double-well problem with affine boundary conditions. Zbl 0958.49008 Allaire, Grégoire; Lods, Véronique 17 1999 Ion transport in porous media: derivation of the macroscopic equations using upscaling and properties of the effective coefficients. Zbl 1392.76071 Allaire, Grégoire; Brizzi, Robert; Dufrêche, Jean-François; Mikelić, Andro; Piatnitski, Andrey 17 2013 Topology and geometry optimization of elastic structures by exact deformation of simplicial mesh. Zbl 1368.74045 Allaire, Grégoire; Dapogny, Charles; Frey, Pascal 15 2011 Optimal lower bounds on the elastic energy of a composite made from two non-well-ordered isotropic materials. Zbl 0806.73038 Allaire, Grégoire; Kohn, Robert V. 15 1994 Topology optimization of thermal fluid-structure systems using body-fitted meshes and parallel computing. Zbl 1437.74021 Feppon, F.; Allaire, G.; Dapogny, C.; Jolivet, P. 15 2020 Diffractive geometric optics for Bloch wave packets. Zbl 1269.78004 Allaire, Grégoire; Palombaro, Mariapia; Rauch, Jeffrey 15 2011 Body-fitted topology optimization of 2D and 3D fluid-to-fluid heat exchangers. Zbl 1506.74270 Feppon, F.; Allaire, G.; Dapogny, C.; Jolivet, P. 15 2021 Optimal design in small amplitude homogenization. Zbl 1148.65048 Allaire, Grégoire; Gutiérrez, Sergio 14 2007 Homogenization of periodic non self-adjoint problems with large drift and potential. Zbl 1130.35307 Allaire, Grégoire; Orive, Rafael 14 2007 Boundary layers in the homogenization of a spectral problem in fluid-solid structures. Zbl 0918.35018 Allaire, Grégoire; Conca, Carlos 14 1998 Existence of minimizers for non-quasiconvex functionals arising in optimal design. Zbl 0913.49008 Allaire, Grégoire; Francfort, Gilles 14 1998 On some recent advances in shape optimization. Zbl 0986.49023 Allaire, Grégoire; Henrot, Antoine 14 2001 Spectral asymptotic analysis of a neutronic diffusion problem. (Analyse asymptotique spectrale d’un problème de diffusion neutronique.) Zbl 0879.35153 Allaire, Grégoire; Malige, François 14 1997 A deterministic approximation method in shape optimization under random uncertainties. Zbl 1416.74080 Allaire, Grégoire; Dapogny, Charles 14 2015 Homogenization of nonlinear reaction-diffusion equation with a large reaction term. Zbl 1205.35019 Allaire, Grégoire; Piatnitski, Andrey 13 2010 Diffractive behavior of the wave equation in periodic media: weak convergence analysis. Zbl 1200.35019 Allaire, Grégoire; Palombaro, Mariapia; Rauch, Jeffrey 13 2009 Bloch-wave homogenization for a spectral problem in fluid-solid structures. Zbl 0857.73008 Allaire, Grégoire; Conca, Carlos 13 1996 A brief introduction to homogenization and miscellaneous applications. Zbl 1339.35001 Allaire, Grégoire 13 2012 Geometric constraints for shape and topology optimization in architectural design. Zbl 1398.74256 Dapogny, Charles; Faure, Alexis; Michailidis, Georgios; Allaire, Grégoire; Couvelas, Agnes; Estevez, Rafael 13 2017 Dispersive limits in the homogenization of the wave equation. Zbl 1070.35006 Allaire, Grégoire 12 2003 The homogenization method for topology and shape optimization. Zbl 0885.73049 Allaire, G. 12 1997 Shape optimization of a layer by layer mechanical constraint for additive manufacturing. (Optimisation de forme pour une contrainte mécanique associée aux procédés de fabrication additive.) Zbl 1370.49037 Allaire, Grégoire; Dapogny, Charles; Faure, Alexis; Michailidis, Georgios 12 2017 Optimal design of low-contrast two-phase structures for the wave equation. Zbl 1219.74039 Allaire, Grégoire; Kelly, Alex 11 2011 Upscaling nonlinear adsorption in periodic porous media – homogenization approach. Zbl 1379.35010 Allaire, Grégoire; Hutridurga, Harsha 11 2016 Uniform spectral asymptotics for singularly perturbed locally periodic operators. Zbl 1026.35012 Allaire, Grégoire; Piatnitski, Andrey 11 2002 Homogenization of reactive flows in porous media and competition between bulk and surface diffusion. Zbl 1341.76017 Allaire, G.; Hutridurga, H. 11 2012 A level set method for the numerical simulation of damage evolution. Zbl 1419.74250 Allaire, Grégoire; Jouve, François; Van Goethem, Nicolas 10 2008 Homogénéisation et convergence à deux échelles. Application à un problème de convection diffusion. (Homogenization and two-scale convergence. Application to a problem of advection-diffusion). Zbl 0724.46033 Allaire, Grégoire 10 1991 Homogenization of the Navier-Stokes equations and derivation of Brinkman’s law. Zbl 0759.76072 Allaire, G. 10 1991 Shape optimisation with the level set method for contact problems in linearised elasticity. Zbl 1416.74079 Maury, Aymeric; Allaire, Grégoire; Jouve, François 10 2017 Homogenization and localization for a 1D eigenvalue problem in a periodic medium with an interface. Zbl 1072.35026 Allaire, Grégoire; Capdeboscq, Yves 9 2002 Role of non-ideality for the ion transport in porous media: derivation of the macroscopic equations using upscaling. Zbl 1349.76803 Allaire, Grégoire; Brizzi, Robert; Dufrêche, Jean-François; Mikelić, Andro; Piatnitski, Andrey 9 2014 Asymptotic analysis of the Poisson-Boltzmann equation describing electrokinetics in porous media. Zbl 1264.35159 Allaire, Grégoire; Dufrêche, Jean-François; Mikelić, Andro; Piatnitski, Andrey 9 2013 Optimization of dispersive coefficients in the homogenization of the wave equation in periodic structures. Zbl 1404.35021 Allaire, G.; Yamada, T. 9 2018 Numerical analysis and optimisation. (Analyse numérique et optimisation.) Zbl 1190.65001 Allaire, Grégoire 8 2005 A strictly hyperbolic equilibrium phase transition model. Zbl 1109.35066 Allaire, Grégoire; Faccanoni, Gloria; Kokh, Samuel 7 2007 Homogenization and concentration for a diffusion equation with large convection in a bounded domain. Zbl 1233.35013 Allaire, G.; Pankratova, I.; Piatnitski, A. 7 2012 Periodic homogenization and effective mass theorems for the Schrödinger equation. Zbl 1173.82330 Allaire, Grégoire 7 2008 Null space gradient flows for constrained optimization with applications to shape optimization. Zbl 1464.65064 Feppon, Florian; Allaire, Grégoire; Dapogny, Charles 7 2020 Localization for the Schrödinger equation in a locally periodic medium. Zbl 1302.35034 Allaire, Grégoire; Palombaro, Mariapia 6 2006 Two-scale convergence: A new method in periodic homogenization. Zbl 0822.35011 Allaire, G. 6 1994 Topology optimization with the homogenization and the level-set methods. Zbl 1320.74089 Allaire, G. 6 2005 Optimal design of micro-mechanisms by the homogenization method. Zbl 1120.74710 Allaire, Grégoire; Jouve, François 5 2002 The homogenization method for topology and shape optimization. Single and multiple loads case. Zbl 0924.73163 Allaire, Grégoire; Belhachmi, Zakaria; Jouve, François 5 1996 Spectral asymptotic analysis of the wave equation. Bloch wave homogenization. (Analyse asymptotique spectrale de l’équation des ondes. Homogénéisation par ondes de Bloch.) Zbl 0844.35075 Allaire, Grégoire; Conca, Carlos 5 1995 A priori error estimate of a multiscale finite element method for transport modeling. Zbl 1320.74106 Ouaki, Franck; Allaire, Grégoire; Desroziers, Sylvain; Enchéry, Guillaume 5 2015 Concurrent shape optimization of the part and scanning path for powder bed fusion additive manufacturing. Zbl 1512.49040 Boissier, Mathilde; Allaire, Grégoire; Tournier, Christophe 1 2023 Topology optimization of structures undergoing brittle fracture. Zbl 07527708 Desai, Jeet; Allaire, Grégoire; Jouve, François 5 2022 Crime pays; homogenized wave equations for long times. Zbl 1492.35024 Allaire, Grégoire; Lamacz-Keymling, Agnes; Rauch, Jeffrey 4 2022 Part and supports optimization in metal powder bed additive manufacturing using simplified process simulation. Zbl 1507.74288 Bihr, Martin; Allaire, Grégoire; Betbeder-Lauque, Xavier; Bogosel, Beniamin; Bordeu, Felipe; Querois, Julie 3 2022 Enriched nonconforming multiscale finite element method for Stokes flows in heterogeneous media based on high-order weighting functions. Zbl 1487.65179 Feng, Qingqing; Allaire, Gregoire; Omnes, Pascal 2 2022 Non-linear boundary condition for non-ideal electrokinetic equations in porous media. Zbl 1496.78011 Allaire, Grégoire; Brizzi, Robert; Labbez, Christophe; Mikelić, Andro 1 2022 Shape and topology optimization. Zbl 1475.49048 Allaire, Grégoire; Dapogny, Charles; Jouve, François 26 2021 Body-fitted topology optimization of 2D and 3D fluid-to-fluid heat exchangers. Zbl 1506.74270 Feppon, F.; Allaire, G.; Dapogny, C.; Jolivet, P. 15 2021 3-d topology optimization of modulated and oriented periodic microstructures by the homogenization method. Zbl 1453.74072 Geoffroy-Donders, Perle; Allaire, Grégoire; Pantz, Olivier 19 2020 Topology optimization of thermal fluid-structure systems using body-fitted meshes and parallel computing. Zbl 1437.74021 Feppon, F.; Allaire, G.; Dapogny, C.; Jolivet, P. 15 2020 Null space gradient flows for constrained optimization with applications to shape optimization. Zbl 1464.65064 Feppon, Florian; Allaire, Grégoire; Dapogny, Charles 7 2020 A variational formulation for computing shape derivatives of geometric constraints along rays. Zbl 07201581 Feppon, Florian; Allaire, Grégoire; Dapogny, Charles 5 2020 Shape optimization of a coupled thermal fluid-structure problem in a level set mesh evolution framework. Zbl 1422.49038 Feppon, F.; Allaire, G.; Bordeu, F.; Cortial, J.; Dapogny, C. 33 2019 Topology optimization of modulated and oriented periodic microstructures by the homogenization method. Zbl 1443.74246 Allaire, Grégoire; Geoffroy-Donders, Perle; Pantz, Olivier 31 2019 The homogenization method for topology optimization of structures: old and new. Zbl 1452.74096 Allaire, Grégoire; Cavallina, Lorenzo; Miyake, Nobuhito; Oka, Tomoyuki; Yachimura, Toshiaki 5 2019 Structural optimization under internal porosity constraints using topological derivatives. Zbl 1440.74273 Martínez-Frutos, J.; Allaire, G.; Dapogny, C.; Periago, F. 2 2019 Taking into account thermal residual stresses in topology optimization of structures built by additive manufacturing. Zbl 1411.49028 Allaire, Grégoire; Jakabčin, Lukas 20 2018 Optimization of dispersive coefficients in the homogenization of the wave equation in periodic structures. Zbl 1404.35021 Allaire, G.; Yamada, T. 9 2018 Elasto-plastic shape optimization using the level set method. Zbl 1387.35247 Maury, Aymeric; Allaire, Grégoire; Jouve, François 4 2018 Transport and diffusion. (Transport et diffusion.) Zbl 1432.82002 Allaire, Grégoire; Blanc, Xavier; Després, Bruno; Golse, François 4 2018 Linearized Navier-Stokes equations for aeroacoustics using stabilized finite elements: boundary conditions and industrial application to aft-Fan noise propagation. Zbl 1390.76293 Bissuel, Aloïs; Allaire, Grégoire; Daumas, Laurent; Barré, Sébastien; Rey, Floriane 2 2018 Structural optimization under overhang constraints imposed by additive manufacturing technologies. Zbl 1375.74076 Allaire, G.; Dapogny, C.; Estevez, R.; Faure, A.; Michailidis, G. 37 2017 Geometric constraints for shape and topology optimization in architectural design. Zbl 1398.74256 Dapogny, Charles; Faure, Alexis; Michailidis, Georgios; Allaire, Grégoire; Couvelas, Agnes; Estevez, Rafael 13 2017 Shape optimization of a layer by layer mechanical constraint for additive manufacturing. (Optimisation de forme pour une contrainte mécanique associée aux procédés de fabrication additive.) Zbl 1370.49037 Allaire, Grégoire; Dapogny, Charles; Faure, Alexis; Michailidis, Georgios 12 2017 Shape optimisation with the level set method for contact problems in linearised elasticity. Zbl 1416.74079 Maury, Aymeric; Allaire, Grégoire; Jouve, François 10 2017 Homogenization of Stokes system using Bloch waves. Zbl 1375.35355 Allaire, Grégoire; Ghosh, Tuhin; Vanninathan, Muthusamy 4 2017 Ion transport through deformable porous media: derivation of the macroscopic equations using upscaling. Zbl 1476.76074 Allaire, Grégoire; Bernard, Olivier; Dufrêche, Jean-François; Mikelić, Andro 4 2017 On the asymptotic behaviour of the kernel of an adjoint convection-diffusion operator in a long cylinder. Zbl 1382.35020 Allaire, Grégoire; Piatnitski, Andrey 2 2017 A comparison between two-scale asymptotic expansions and Bloch wave expansions for the homogenization of periodic structures. Zbl 1364.35029 Allaire, Gregoire; Briane, M.; Vanninathan, M. 34 2016 Upscaling nonlinear adsorption in periodic porous media – homogenization approach. Zbl 1379.35010 Allaire, Grégoire; Hutridurga, Harsha 11 2016 Stacking sequence and shape optimization of laminated composite plates via a level-set method. Zbl 1445.74040 Allaire, G.; Delgado, G. 3 2016 A deterministic approximation method in shape optimization under random uncertainties. Zbl 1416.74080 Allaire, Grégoire; Dapogny, Charles 14 2015 A priori error estimate of a multiscale finite element method for transport modeling. Zbl 1320.74106 Ouaki, Franck; Allaire, Grégoire; Desroziers, Sylvain; Enchéry, Guillaume 5 2015 On the homogenization of multicomponent transport. Zbl 1339.35026 Hutridurga, Harsha; Allaire, Grégoire 3 2015 Shape optimization with a level set based mesh evolution method. Zbl 1423.74739 Allaire, G.; Dapogny, C.; Frey, P. 54 2014 Multi-phase structural optimization via a level set method. Zbl 1287.49045 Allaire, G.; Dapogny, C.; Delgado, G.; Michailidis, G. 42 2014 A linearized approach to worst-case design in parametric and geometric shape optimization. Zbl 1297.49075 Allaire, Grégoire; Dapogny, Charles 23 2014 Role of non-ideality for the ion transport in porous media: derivation of the macroscopic equations using upscaling. Zbl 1349.76803 Allaire, Grégoire; Brizzi, Robert; Dufrêche, Jean-François; Mikelić, Andro; Piatnitski, Andrey 9 2014 Second order corrector in the homogenization of a conductive-radiative heat transfer problem. Zbl 1270.35053 Allaire, Grégoire; Habibi, Zakaria 29 2013 Homogenization of a conductive, convective, and radiative heat transfer problem in a heterogeneous domain. Zbl 1276.35019 Allaire, Grégoire; Habibi, Zakaria 18 2013 Ion transport in porous media: derivation of the macroscopic equations using upscaling and properties of the effective coefficients. Zbl 1392.76071 Allaire, Grégoire; Brizzi, Robert; Dufrêche, Jean-François; Mikelić, Andro; Piatnitski, Andrey 17 2013 Asymptotic analysis of the Poisson-Boltzmann equation describing electrokinetics in porous media. Zbl 1264.35159 Allaire, Grégoire; Dufrêche, Jean-François; Mikelić, Andro; Piatnitski, Andrey 9 2013 Diffraction of Bloch wave packets for Maxwell’s equations. Zbl 1281.35083 Allaire, Grégoire; Palombaro, Mariapia; Rauch, Jeffrey 2 2013 Modelling and simulation of liquid-vapor phase transition in compressible flows based on thermodynamical equilibrium. Zbl 1267.76110 Faccanoni, Gloria; Kokh, Samuel; Allaire, Grégoire 18 2012 A brief introduction to homogenization and miscellaneous applications. Zbl 1339.35001 Allaire, Grégoire 13 2012 Homogenization of reactive flows in porous media and competition between bulk and surface diffusion. Zbl 1341.76017 Allaire, G.; Hutridurga, H. 11 2012 Homogenization and concentration for a diffusion equation with large convection in a bounded domain. Zbl 1233.35013 Allaire, G.; Pankratova, I.; Piatnitski, A. 7 2012 Homogenization of a nonstationary convection-diffusion equation in a thin rod and in a layer. Zbl 1310.35026 Allaire, G.; Pankratova, I.; Piatnitski, A. 3 2012 Shape optimization of a sodium fast reactor core. Zbl 1329.74228 Dombre, Emmanuel; Allaire, Grégoire; Pantz, Olivier; Schmitt, Damien 2 2012 Homogenization of a one-dimensional spectral problem for a singularly perturbed elliptic operator with Neumann boundary conditions. Zbl 1235.35024 Allaire, Grégoire; Capdeboscq, Yves; Puel, Marjolaine 1 2012 In search of the lost inequality. (À la recherche de l’inégalité perdue.) Zbl 1365.35002 Allaire, Grégoire 1 2012 Damage and fracture evolution in brittle materials by shape optimization methods. Zbl 1356.74178 Allaire, Grégoire; Jouve, François; Van Goethem, Nicolas 44 2011 Topology and geometry optimization of elastic structures by exact deformation of simplicial mesh. Zbl 1368.74045 Allaire, Grégoire; Dapogny, Charles; Frey, Pascal 15 2011 Diffractive geometric optics for Bloch wave packets. Zbl 1269.78004 Allaire, Grégoire; Palombaro, Mariapia; Rauch, Jeffrey 15 2011 Optimal design of low-contrast two-phase structures for the wave equation. Zbl 1219.74039 Allaire, Grégoire; Kelly, Alex 11 2011 Erratum: “Homogenization of the linearized ionic transport equations in rigid periodic porous media” [J. Math. Phys. 51, 123103, 18 p. (2010)]. Zbl 1317.76075 Allaire, Grégoire; Mikelić, Andro; Piatnitski, Andrey 1 2011 Homogenization approach to the dispersion theory for reactive transport through porous media. Zbl 1213.35057 Allaire, Grégoire; Mikelić, Andro; Piatnitski, Andrey 20 2010 Homogenization of the linearized ionic transport equations in rigid periodic porous media. Zbl 1314.76039 Allaire, Grégoire; Mikelić, Andro; Piatnitski, Andrey 19 2010 Long time behavior of a two-phase optimal design for the heat equation. Zbl 1298.35015 Allaire, Grégoire; Münch, Arnaud; Periago, Francisco 18 2010 Homogenization of nonlinear reaction-diffusion equation with a large reaction term. Zbl 1205.35019 Allaire, Grégoire; Piatnitski, Andrey 13 2010 Localization of high-frequency waves propagating in a locally periodic medium. Zbl 1204.35034 Allaire, G.; Friz, L. 5 2010 Approximation of liquid-vapor phase transition for compressible fluids with tabulated EOS. Zbl 1258.76162 Faccanoni, Gloria; Kokh, Samuel; Allaire, Grégoire 2 2010 Homogenization of a conductive and radiative heat transfer problem. Zbl 1180.35062 Allaire, Grégoire; El Ganaoui, Karima 23 2009 Diffractive behavior of the wave equation in periodic media: weak convergence analysis. Zbl 1200.35019 Allaire, Grégoire; Palombaro, Mariapia; Rauch, Jeffrey 13 2009 Two asymptotic models for arrays of underground waste containers. Zbl 1180.35061 Allaire, Grégoire; Briane, Marc; Brizzi, Robert; Capdeboscq, Yves 4 2009 Minimum stress optimal design with the level set method. Zbl 1244.74104 Allaire, Grégoire; Jouve, François 45 2008 Shape and topology optimization of the robust compliance via the level set method. Zbl 1245.49054 De Gournay, Frédéric; Allaire, Grégoire; Jouve, François 38 2008 Numerical linear algebra. Zbl 1135.65014 Allaire, Grégoire; Kaber, Sidi Mahmoud 30 2008 A level set method for the numerical simulation of damage evolution. Zbl 1419.74250 Allaire, Grégoire; Jouve, François; Van Goethem, Nicolas 10 2008 Periodic homogenization and effective mass theorems for the Schrödinger equation. Zbl 1173.82330 Allaire, Grégoire 7 2008 Numerical simulation with finite volume of dynamic liquid-vapor phase transition. Zbl 1374.76137 Faccanoni, G.; Kokh, S.; Allaire, G. 1 2008 Optimal treatment of structures. (Conception optimale de structures.) Zbl 1132.49033 Allaire, Grégoire 100 2007 Numerical analysis and optimization. An introduction to mathematical modelling and numerical simulation. Translation from the French by Alan Craig. Zbl 1120.65001 Allaire, Grégoire 63 2007 Homogenization of a convection-diffusion model with reaction in a porous medium. Zbl 1114.35007 Allaire, Grégoire; Raphael, Anne-Lise 26 2007 Optimal design in small amplitude homogenization. Zbl 1148.65048 Allaire, Grégoire; Gutiérrez, Sergio 14 2007 Homogenization of periodic non self-adjoint problems with large drift and potential. Zbl 1130.35307 Allaire, Grégoire; Orive, Rafael 14 2007 A strictly hyperbolic equilibrium phase transition model. Zbl 1109.35066 Allaire, Grégoire; Faccanoni, Gloria; Kokh, Samuel 7 2007 On two formulations of an optimal insulation problem. Zbl 1245.74067 Munoz, E.; Allaire, Grégoire; Bendsøe, Martin Philip 3 2007 On Bloch waves for the Stokes equations. Zbl 1124.35050 Allaire, Grégoire; Conca, Carlos; Friz, Luis; Ortega, Jaime H. 2 2007 Structural optimization with FreeFem++. Zbl 1245.74049 Allaire, Grégoire; Pantz, Olivier 38 2006 Localization for the Schrödinger equation in a locally periodic medium. Zbl 1302.35034 Allaire, Grégoire; Palombaro, Mariapia 6 2006 Homogenization of the Schrödinger equation with a time oscillating potential. Zbl 1096.35009 Allaire, Grégoire; Vanninathan, M. 3 2006 Structural optimization using topological and shape sensitivity via a level set method. Zbl 1167.49324 Allaire, Grégoire; de Gournay, Frédéric; Jouve, François; Toader, Anca-Maria 124 2005 A level-set method for vibration and multiple loads structural optimization. Zbl 1091.74038 Allaire, Grégoire; Jouve, François 78 2005 A multiscale finite element method for numerical homogenization. Zbl 1093.35007 Allaire, Grégoire; Brizzi, Robert 61 2005 Homogenization of the Schrödinger equation and effective mass theorems. Zbl 1081.35092 Allaire, Grégoire; Piatnitski, Andrey 52 2005 Numerical analysis and optimisation. (Analyse numérique et optimisation.) Zbl 1190.65001 Allaire, Grégoire 8 2005 Topology optimization with the homogenization and the level-set methods. Zbl 1320.74089 Allaire, G. 6 2005 On the band gap structure of Hill’s equation. Zbl 1095.34014 Allaire, G.; Orive, R. 4 2005 Structural optimization using sensitivity analysis and a level-set method. Zbl 1136.74368 Allaire, Grégoire; Jouve, François; Toader, Anca-Maria 616 2004 Topology optimization for minimum stress design with the homogenization method. Zbl 1243.74148 Allaire, Grégoire; Jouve, François; Maillot, Hervé 42 2004 Homogenization of periodic systems with large potentials. Zbl 1072.35023 Allaire, Grégoire; Capdeboscq, Yves; Piatnitski, Andrey; Siess, Vincent; Vanninathan, M. 25 2004 Dispersive limits in the homogenization of the wave equation. Zbl 1070.35006 Allaire, Grégoire 12 2003 Homogenization and localization with an interface. Zbl 1073.35018 Allaire, Grégoire; Capdeboscq, Yves; Piatnitski, Andrey 4 2003 \(H\)-measures and bounds on the effective properties of composite materials. Zbl 1075.74068 Allaire, Grégoire; Maillot, Hervé 4 2003 Structural optimization by the level-set method. Zbl 1051.49028 Allaire, Grégoire; Jouve, François; Toader, Anca-Maria 2 2003 Shape optimization by the homogenization method. Zbl 0990.35001 Allaire, Grégoire 379 2002 A five-equation model for the simulation of interfaces between compressible fluids. Zbl 1169.76407 Allaire, Grégoire; Clerc, Sébastien; Kokh, Samuel 192 2002 A level-set method for shape optimization. Zbl 1115.49306 Allaire, Grégoire; Jouve, François; Toader, Anca-Maria 120 2002 Uniform spectral asymptotics for singularly perturbed locally periodic operators. Zbl 1026.35012 Allaire, Grégoire; Piatnitski, Andrey 11 2002 ...and 46 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,907 Authors 85 Allaire, Grégoire 34 Piatnitski, Andrey L. 29 Cui, Junzhi 28 Dapogny, Charles 28 Wang, Michael Yu 27 Casado-Díaz, Juan 27 Guo, Xu 25 Luo, Zhen 25 Yamada, Takayuki 25 Zhang, Weihong 23 Mikelić, Andro 22 Novotny, Antonio André 21 Zhang, Weisheng 21 Zhu, Shengfeng 20 Amstutz, Samuel 20 Schweizer, Ben 20 Suárez-Grau, Francisco Javier 19 Kang, Zhan 19 Yang, Zhiqiang 18 Gao, Liang 18 Nishiwaki, Shinji 18 Pedregal, Pablo 18 Sigmund, Ole 17 Briane, Marc 16 Abdulle, Assyr 16 Conca, Carlos 16 Efendiev, Yalchin R. 16 Pastukhova, Svetlana Evgenievna 16 Xia, Qi 15 Izui, Kazuhiro 15 Maute, Kurt 15 Pažanin, Igor 15 Zhu, Jihong 14 Amaziane, Brahim 14 Chung, Tsz Shun Eric 14 Milton, Graeme Walter 14 Muntean, Adrian 14 Rohan, Eduard 14 Sun, Yi 14 Tortorelli, Daniel A. 14 Velčić, Igor 13 Cherednichenko, Kirill D. 13 Evgrafov, Anton 13 Hassine, Maatoug 13 Hoang, Viet Ha 13 Li, Hao 13 Neukamm, Stefan 13 Shi, Tielin 13 Sokołowski, Jan 13 Xia, Liang 12 Cao, Liqun 12 Dambrine, Marc 12 Feppon, Florian 12 Gahn, Markus 12 Gruais, Isabelle 12 Kovtunenko, Viktor Anatolievich 12 Ma, Qiang 12 Neuss-Radu, Maria 12 Pankratov, Leonid S. 12 Ptashnyk, Mariya 12 Wei, Peng 12 Zuazua, Enrique 11 Amar, Micol 11 Bouchitté, Guy 11 Frénod, Emmanuel 11 Harbrecht, Helmut 11 Henning, Patrick 11 Jouve, François 11 Marušić-Paloka, Eduard 11 Osmolovskij, V. G. 11 Sili, Ali 11 Visintin, Augusto 11 Woukeng, Jean Louis 11 Yeh, Li-Ming 10 Chen, Shikui 10 Du, Zongliang 10 Gao, Tong 10 Legoll, Frédéric 10 Luna-Laynez, Manuel 10 Martínez-Frutos, Jesús 10 Millet, Olivier 10 Noguchi, Yuki 10 Ohlberger, Mario 10 Periago, Francisco 10 Poliševski, Dan A. 10 Rumpf, Martin 10 Tong, Liyong 10 Vanninathan, Muthusamy 10 Wang, Yiqiang 10 Wick, Thomas 10 Zhang, Chao 10 Zhikov, Vasiliĭ Vasil’evich 9 Bellido, José Carlos 9 Boughammoura, Ahmed 9 Chakib, Abdelkrim 9 Dong, Hao 9 Garcke, Harald 9 Lamacz, Agnes 9 Lewiński, Tomasz 9 Masmoudi, Nader ...and 3,807 more Authors all top 5 Cited in 354 Serials 379 Computer Methods in Applied Mechanics and Engineering 188 Journal of Computational Physics 92 Structural and Multidisciplinary Optimization 67 Applicable Analysis 64 International Journal for Numerical Methods in Engineering 61 Journal of Mathematical Analysis and Applications 60 Archive for Rational Mechanics and Analysis 59 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 57 M\(^3\)AS. 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Modélisation Mathématique et Analyse Numérique 6 Numerical Methods for Partial Differential Equations 6 Mathematical and Computer Modelling 6 International Journal of Computer Mathematics 6 Journal of Nonlinear Science 6 Computational and Applied Mathematics 6 Optimization Methods & Software 6 Mediterranean Journal of Mathematics 6 Oberwolfach Reports 6 Boundary Value Problems 6 Inverse Problems in Science and Engineering 6 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 6 Mathematical Control and Related Fields ...and 254 more Serials all top 5 Cited in 49 Fields 1,478 Partial differential equations (35-XX) 1,385 Mechanics of deformable solids (74-XX) 780 Fluid mechanics (76-XX) 745 Numerical analysis (65-XX) 592 Calculus of variations and optimal control; optimization (49-XX) 155 Optics, electromagnetic theory (78-XX) 113 Classical thermodynamics, heat transfer (80-XX) 112 Operations research, mathematical programming (90-XX) 100 Statistical mechanics, structure of matter (82-XX) 81 Probability theory and stochastic processes (60-XX) 74 Biology and other natural sciences (92-XX) 70 Operator theory (47-XX) 52 Systems theory; control (93-XX) 50 Functional analysis (46-XX) 38 Ordinary differential equations (34-XX) 32 Quantum theory (81-XX) 31 Computer science (68-XX) 22 Integral equations (45-XX) 19 Dynamical systems and ergodic theory (37-XX) 17 Linear and multilinear algebra; matrix theory (15-XX) 17 Information and communication theory, circuits (94-XX) 15 Global analysis, analysis on manifolds (58-XX) 15 Statistics (62-XX) 14 Harmonic analysis on Euclidean spaces (42-XX) 13 Geophysics (86-XX) 13 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 12 Real functions (26-XX) 12 Approximations and expansions (41-XX) 11 General and overarching topics; collections (00-XX) 11 General topology (54-XX) 11 Mechanics of particles and systems (70-XX) 10 Measure and integration (28-XX) 10 Differential geometry (53-XX) 9 Potential theory (31-XX) 6 Functions of a complex variable (30-XX) 5 Difference and functional equations (39-XX) 5 Manifolds and cell complexes (57-XX) 4 Relativity and gravitational theory (83-XX) 3 History and biography (01-XX) 2 Combinatorics (05-XX) 2 Abstract harmonic analysis (43-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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