## Allaire, Grégoire

Compute Distance To:
 Author ID: allaire.gregoire Published as: Allaire, Grégoire; Allaire, G.; Allaire, Gregoire; Allaire, Grégire External Links: MGP · Wikidata · IdRef · theses.fr
 Documents Indexed: 154 Publications since 1989, including 6 Books Co-Authors: 91 Co-Authors with 126 Joint Publications 1,360 Co-Co-Authors
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### Co-Authors

 26 single-authored 20 Jouve, François 15 Dapogny, Charles 14 Piatnitski, Andrey L. 9 Conca, Carlos 7 Kokh, Samuel 7 Mikelić, Andro 6 Capdeboscq, Yves 6 Rauch, Jeffrey B. 6 Vanninathan, Muthusamy 5 Feppon, Florian 5 Palombaro, Mariapia 4 Brizzi, Robert 4 Dufrêche, Jean-François 4 Faccanoni, Gloria 4 Kohn, Robert Vita 4 Michailidis, Georgios E. 4 Pantz, Olivier 4 Toader, Anca-Maria 3 Bal, Guillaume 3 Briane, Marc 3 Faure, Alexis 3 Francfort, Gilles A. 3 Hutridurga, Harsha 2 Aubry, Sylvie 2 Bonnetier, Eric 2 Clerc, Sébastien 2 de Gournay, Frédéric 2 Delgado, Gabriel 2 Desai, Jeet 2 Estevez, Rafael 2 Frey, Pascal Jean 2 Friz, Luis 2 Geoffroy-Donders, Perle 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 Barré, Sébastien 1 Belhachmi, Zakaria 1 Bendsøe, Martin Philip 1 Bernard, Olivier 1 Bissuel, Aloïs 1 Blanc, Xavier 1 Bogoşel, Beniamin 1 Bordeu, Felipe 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 Ferriero, Alessandro 1 Ghosh, Tuhin 1 Godoy, Matías 1 Golse, François 1 Gutiérrez, Sergio 1 Jakabčin, Lukáš 1 Kaber, Sidimahmoud 1 Kelly, Alex 1 Lamacz-Keymling, 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 Ortega, Jaime H. 1 Orval, Patrick 1 Ouaki, Franck 1 Planchard, Jacques 1 Puel, Marjolaine 1 Rakotondrainibe, Lalaina 1 Raphael, Anne-Lise 1 Rey, Floriane 1 Schmitt, Damien 1 Yachimura, Toshiaki 1 Zelmanse, Alain
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### Serials

 7 Computer Methods in Applied Mechanics and Engineering 7 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 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 Asymptotic Analysis 3 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Structural and Multidisciplinary Optimization 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Applicable Analysis 2 Journal of Mathematical Physics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Control and Cybernetics 2 SIAM Journal on Control and Optimization 2 Revue Européenne des Éléments Finis 2 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 2 Portugaliae Mathematica. Nova Série 2 Multiscale Modeling & Simulation 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 International Journal for Numerical Methods in Engineering 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 Numerical Mathematics and Scientific Computation
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### Fields

 83 Partial differential equations (35-XX) 71 Mechanics of deformable solids (74-XX) 43 Calculus of variations and optimal control; optimization (49-XX) 35 Fluid mechanics (76-XX) 31 Numerical analysis (65-XX) 12 Statistical mechanics, structure of matter (82-XX) 7 Operations research, mathematical programming (90-XX) 5 Optics, electromagnetic theory (78-XX) 5 Classical thermodynamics, heat transfer (80-XX) 2 Operator theory (47-XX) 2 Quantum theory (81-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-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)

### Citations contained in zbMATH Open

138 Publications have been cited 3,998 times in 2,521 Documents Cited by Year
Homogenization and two-scale convergence. Zbl 0770.35005
Allaire, Grégoire
1992
Structural optimization using sensitivity analysis and a level-set method. Zbl 1136.74368
Allaire, Grégoire; Jouve, François; Toader, Anca-Maria
2004
Shape optimization by the homogenization method. Zbl 0990.35001
Allaire, Grégoire
2002
A five-equation model for the simulation of interfaces between compressible fluids. Zbl 1169.76407
Allaire, Grégoire; Clerc, Sébastien; Kokh, Samuel
2002
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
2005
Multiscale convergence and reiterated homogenisation. Zbl 0866.35017
Allaire, G.; Briane, M.
1996
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
1991
A level-set method for shape optimization. Zbl 1115.49306
Allaire, Grégoire; Jouve, François; Toader, Anca-Maria
2002
Optimal treatment of structures. (Conception optimale de structures.) Zbl 1132.49033
Allaire, Grégoire
2007
Shape optimization by the homogenization method. Zbl 0889.73051
Allaire, Grégoire; Bonnetier, Eric; Francfort, Gilles; Jouve, François
1997
Optimal design for minimum weight and compliance in plane stress using extremal microstructures. Zbl 0794.73044
Allaire, G.; Kohn, Robert V.
1993
Boundary layer tails in periodic homogenization. Zbl 0922.35014
Allaire, Grégoire; Amar, Micol
1999
Homogenization of the Stokes flow in a connected porous medium. Zbl 0682.76077
Allaire, Grégoire
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
1991
A level-set method for vibration and multiple loads structural optimization. Zbl 1091.74038
Allaire, Grégoire; Jouve, François
2005
Bloch wave homogenization and spectral asymptotic analysis. Zbl 0901.35005
Allaire, Grégoire; Conca, Carlos
1998
A multiscale finite element method for numerical homogenization. Zbl 1093.35007
Allaire, Grégoire; Brizzi, Robert
2005
Numerical analysis and optimization. An introduction to mathematical modelling and numerical simulation. Translation from the French by Alan Craig. Zbl 1120.65001
Allaire, Grégoire
2007
Optimal bounds on the effective behavior of a mixture of two well-ordered elastic materials. Zbl 0805.73043
Allaire, Grégoire; Kohn, Robert V.
1993
Homogenization of the Schrödinger equation and effective mass theorems. Zbl 1081.35092
Allaire, Grégoire; Piatnitski, Andrey
2005
Topology optimization for minimum stress design with the homogenization method. Zbl 1243.74148
Allaire, Grégoire; Jouve, François; Maillot, Hervé
2004
Minimum stress optimal design with the level set method. Zbl 1244.74104
Allaire, Grégoire; Jouve, François
2008
Damage and fracture evolution in brittle materials by shape optimization methods. Zbl 1356.74178
Allaire, Grégoire; Jouve, François; Van Goethem, Nicolas
2011
Shape optimization with a level set based mesh evolution method. Zbl 1423.74739
Allaire, G.; Dapogny, C.; Frey, P.
2014
Multi-phase structural optimization via a level set method. Zbl 1287.49045
Allaire, G.; Dapogny, C.; Delgado, G.; Michailidis, G.
2014
Shape and topology optimization of the robust compliance via the level set method. Zbl 1245.49054
De Gournay, Frédéric; Allaire, Grégoire; Jouve, François
2008
Homogenization of the Neumann problem with nonisolated holes. Zbl 0823.35014
Allaire, Grégoire; Murat, François
1993
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.
2016
Structural optimization with FreeFem++. Zbl 1245.74049
Allaire, Grégoire; Pantz, Olivier
2006
Structural optimization under overhang constraints imposed by additive manufacturing technologies. Zbl 1375.74076
Allaire, G.; Dapogny, C.; Estevez, R.; Faure, A.; Michailidis, G.
2017
Homogenization of the Navier-Stokes equations with a slip boundary condition. Zbl 0738.35059
Allaire, Grégoire
1991
Explicit optimal bounds on the elastic energy of a two-phase composite in two space dimensions. Zbl 0805.73042
Allaire, Grégoire; Kohn, Robert V.
1993
Numerical linear algebra. Zbl 1135.65014
Allaire, Grégoire; Kaber, Sidi Mahmoud
2008
Homogenization of the criticality spectral equation in neutron transport. Zbl 0931.35010
Allaire, Grégoire; Bal, Guillaume
1999
Homogenization of a conductive and radiative heat transfer problem. Zbl 1180.35062
Allaire, Grégoire; El Ganaoui, Karima
2009
Homogenization of periodic systems with large potentials. Zbl 1072.35023
Allaire, Grégoire; Capdeboscq, Yves; Piatnitski, Andrey; Siess, Vincent; Vanninathan, M.
2004
Second order corrector in the homogenization of a conductive-radiative heat transfer problem. Zbl 1270.35053
Allaire, Grégoire; Habibi, Zakaria
2013
Homogenization of a convection-diffusion model with reaction in a porous medium. Zbl 1114.35007
Allaire, Grégoire; Raphael, Anne-Lise
2007
Homogenization of a spectral problem in neutronic multigroup diffusion. Zbl 1126.82346
Allaire, Grégoire; Capdeboscq, Yves
2000
Homogenization of the unsteady Stokes equations in porous media. Zbl 0801.35103
Allaire, G.
1993
Homogenization approach to the dispersion theory for reactive transport through porous media. Zbl 1213.35057
Allaire, Grégoire; Mikelić, Andro; Piatnitski, Andrey
2010
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.
2019
Continuity of Darcy’s law in thelow-volume fraction limit. Zbl 0755.35084
Allaire, Grégoire
1991
A linearized approach to worst-case design in parametric and geometric shape optimization. Zbl 1297.49075
Allaire, Grégoire; Dapogny, Charles
2014
Eigenfrequency optimization in optimal design. Zbl 1004.74063
Allaire, Grégoire; Aubry, Sylvie; Jouve, François
2001
A five-equation model for the numerical simulation of interfaces in two-phase flows. Zbl 1010.76055
Allaire, Grégoire; Clerc, Sébastien; Kokh, Samuel
2000
Homogenization of the linearized ionic transport equations in rigid periodic porous media. Zbl 1314.76039
Allaire, Grégoire; Mikelić, Andro; Piatnitski, Andrey
2010
Long time behavior of a two-phase optimal design for the heat equation. Zbl 1298.35015
Allaire, Grégoire; Münch, Arnaud; Periago, Francisco
2010
Minimizers for a double-well problem with affine boundary conditions. Zbl 0958.49008
Allaire, Grégoire; Lods, Véronique
1999
Homogenization of a conductive, convective, and radiative heat transfer problem in a heterogeneous domain. Zbl 1276.35019
Allaire, Grégoire; Habibi, Zakaria
2013
Boundary layers in the homogenization of a spectral problem in fluid-solid structures. Zbl 0918.35018
Allaire, Grégoire; Conca, Carlos
1998
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.
1994
Diffractive geometric optics for Bloch wave packets. Zbl 1269.78004
Allaire, Grégoire; Palombaro, Mariapia; Rauch, Jeffrey
2011
Modelling and simulation of liquid-vapor phase transition in compressible flows based on thermodynamical equilibrium. Zbl 1267.76110
Faccanoni, Gloria; Kokh, Samuel; Allaire, Grégoire
2012
Bloch-wave homogenization for a spectral problem in fluid-solid structures. Zbl 0857.73008
Allaire, Grégoire; Conca, Carlos
1996
Spectral asymptotic analysis of a neutronic diffusion problem. (Analyse asymptotique spectrale d’un problème de diffusion neutronique.) Zbl 0879.35153
Allaire, Grégoire; Malige, François
1997
Allaire, Grégoire; Gutiérrez, Sergio
2007
Taking into account thermal residual stresses in topology optimization of structures built by additive manufacturing. Zbl 1411.49028
Allaire, Grégoire; Jakabčin, Lukas
2018
Diffractive behavior of the wave equation in periodic media: weak convergence analysis. Zbl 1200.35019
Allaire, Grégoire; Palombaro, Mariapia; Rauch, Jeffrey
2009
Existence of minimizers for non-quasiconvex functionals arising in optimal design. Zbl 0913.49008
Allaire, Grégire; Francfort, Gilles
1998
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
2013
Homogenization of periodic non self-adjoint problems with large drift and potential. Zbl 1130.35307
Allaire, Grégoire; Orive, Rafael
2007
Homogenization of nonlinear reaction-diffusion equation with a large reaction term. Zbl 1205.35019
Allaire, Grégoire; Piatnitski, Andrey
2010
Dispersive limits in the homogenization of the wave equation. Zbl 1070.35006
Allaire, Grégoire
2003
Topology optimization of modulated and oriented periodic microstructures by the homogenization method. Zbl 1443.74246
Allaire, Grégoire; Geoffroy-Donders, Perle; Pantz, Olivier
2019
Uniform spectral asymptotics for singularly perturbed locally periodic operators. Zbl 1026.35012
Allaire, Grégoire; Piatnitski, Andrey
2002
On some recent advances in shape optimization. Zbl 0986.49023
Allaire, Grégoire; Henrot, Antoine
2001
The homogenization method for topology and shape optimization. Zbl 0885.73049
Allaire, G.
1997
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
1991
Topology and geometry optimization of elastic structures by exact deformation of simplicial mesh. Zbl 1368.74045
Allaire, Grégoire; Dapogny, Charles; Frey, Pascal
2011
Optimal design of low-contrast two-phase structures for the wave equation. Zbl 1219.74039
Allaire, Grégoire; Kelly, Alex
2011
Homogenization of reactive flows in porous media and competition between bulk and surface diffusion. Zbl 1341.76017
Allaire, G.; Hutridurga, H.
2012
A level set method for the numerical simulation of damage evolution. Zbl 1419.74250
Allaire, Grégoire; Jouve, François; Van Goethem, Nicolas
2008
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
2017
3-d topology optimization of modulated and oriented periodic microstructures by the homogenization method. Zbl 1453.74072
Geoffroy-Donders, Perle; Allaire, Grégoire; Pantz, Olivier
2020
Upscaling nonlinear adsorption in periodic porous media – homogenization approach. Zbl 1379.35010
Allaire, Grégoire; Hutridurga, Harsha
2016
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
2017
Homogenization of the Navier-Stokes equations and derivation of Brinkman’s law. Zbl 0759.76072
Allaire, G.
1991
Asymptotic analysis of the Poisson-Boltzmann equation describing electrokinetics in porous media. Zbl 1264.35159
Allaire, Grégoire; Dufrêche, Jean-François; Mikelić, Andro; Piatnitski, Andrey
2013
A deterministic approximation method in shape optimization under random uncertainties. Zbl 1416.74080
Allaire, Grégoire; Dapogny, Charles
2015
A brief introduction to homogenization and miscellaneous applications. Zbl 1339.35001
Allaire, Grégoire
2012
Homogenization and concentration for a diffusion equation with large convection in a bounded domain. Zbl 1233.35013
Allaire, G.; Pankratova, I.; Piatnitski, A.
2012
Homogenization and localization for a 1D eigenvalue problem in a periodic medium with an interface. Zbl 1072.35026
Allaire, Grégoire; Capdeboscq, Yves
2002
Optimal design of micro-mechanisms by the homogenization method. Zbl 1120.74710
Allaire, Grégoire; Jouve, François
2002
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
1995
Topology optimization with the homogenization and the level-set methods. Zbl 1320.74089
Allaire, G.
2005
Two-scale convergence: A new method in periodic homogenization. Zbl 0822.35011
Allaire, G.
1994
A strictly hyperbolic equilibrium phase transition model. Zbl 1109.35066
Allaire, Grégoire; Faccanoni, Gloria; Kokh, Samuel
2007
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.
2020
Shape optimisation with the level set method for contact problems in linearised elasticity. Zbl 1416.74079
Maury, Aymeric; Allaire, Grégoire; Jouve, François
2017
Localization of high-frequency waves propagating in a locally periodic medium. Zbl 1204.35034
Allaire, G.; Friz, L.
2010
The homogenization method for topology and shape optimization. Single and multiple loads case. Zbl 0924.73163
Allaire, Grégoire; Belhachmi, Zakaria; Jouve, François
1996
Asymptotic spectral analysis of the wave equation. Completeness of the Bloch spectrum. (Analyse asymptotique spectrale de l’équation des ondes. Complétude du spectre de Bloch.) Zbl 0844.35076
Allaire, Grégoire; Conca, Carlos
1995
Optimization of dispersive coefficients in the homogenization of the wave equation in periodic structures. Zbl 1404.35021
2018
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
2014
Homogenization and localization with an interface. Zbl 1073.35018
Allaire, Grégoire; Capdeboscq, Yves; Piatnitski, Andrey
2003
Periodic homogenization and effective mass theorems for the Schrödinger equation. Zbl 1173.82330
Allaire, Grégoire
2008
Localization for the Schrödinger equation in a locally periodic medium. Zbl 1302.35034
Allaire, Grégoire; Palombaro, Mariapia
2006
Two asymptotic models for arrays of underground waste containers. Zbl 1180.35061
Allaire, Grégoire; Briane, Marc; Brizzi, Robert; Capdeboscq, Yves
2009
On the band gap structure of Hill’s equation. Zbl 1095.34014
Allaire, G.; Orive, R.
2005
Shape and topology optimization. Zbl 1475.49048
Allaire, Grégoire; Dapogny, Charles; Jouve, François
2021
Body-fitted topology optimization of 2D and 3D fluid-to-fluid heat exchangers. Zbl 07340417
Feppon, F.; Allaire, G.; Dapogny, C.; Jolivet, P.
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
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.
2020
A variational formulation for computing shape derivatives of geometric constraints along rays. Zbl 07201581
Feppon, Florian; Allaire, Grégoire; Dapogny, Charles
2020
Null space gradient flows for constrained optimization with applications to shape optimization. Zbl 1464.65064
Feppon, Florian; Allaire, Grégoire; Dapogny, Charles
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.
2019
Topology optimization of modulated and oriented periodic microstructures by the homogenization method. Zbl 1443.74246
Allaire, Grégoire; Geoffroy-Donders, Perle; Pantz, Olivier
2019
Structural optimization under internal porosity constraints using topological derivatives. Zbl 1440.74273
Martínez-Frutos, J.; Allaire, G.; Dapogny, C.; Periago, F.
2019
Taking into account thermal residual stresses in topology optimization of structures built by additive manufacturing. Zbl 1411.49028
Allaire, Grégoire; Jakabčin, Lukas
2018
Optimization of dispersive coefficients in the homogenization of the wave equation in periodic structures. Zbl 1404.35021
2018
Elasto-plastic shape optimization using the level set method. Zbl 1387.35247
Maury, Aymeric; Allaire, Grégoire; Jouve, François
2018
Transport and diffusion. (Transport et diffusion.) Zbl 1432.82002
Allaire, Grégoire; Blanc, Xavier; Després, Bruno; Golse, François
2018
Structural optimization under overhang constraints imposed by additive manufacturing technologies. Zbl 1375.74076
Allaire, G.; Dapogny, C.; Estevez, R.; Faure, A.; Michailidis, G.
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
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
2017
Shape optimisation with the level set method for contact problems in linearised elasticity. Zbl 1416.74079
Maury, Aymeric; Allaire, Grégoire; Jouve, François
2017
Homogenization of Stokes system using Bloch waves. Zbl 1375.35355
Allaire, Grégoire; Ghosh, Tuhin; Vanninathan, Muthusamy
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
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
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.
2016
Upscaling nonlinear adsorption in periodic porous media – homogenization approach. Zbl 1379.35010
Allaire, Grégoire; Hutridurga, Harsha
2016
Stacking sequence and shape optimization of laminated composite plates via a level-set method. Zbl 1445.74040
2016
A deterministic approximation method in shape optimization under random uncertainties. Zbl 1416.74080
Allaire, Grégoire; Dapogny, Charles
2015
On the homogenization of multicomponent transport. Zbl 1339.35026
Hutridurga, Harsha; Allaire, Grégoire
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
2015
Shape optimization with a level set based mesh evolution method. Zbl 1423.74739
Allaire, G.; Dapogny, C.; Frey, P.
2014
Multi-phase structural optimization via a level set method. Zbl 1287.49045
Allaire, G.; Dapogny, C.; Delgado, G.; Michailidis, G.
2014
A linearized approach to worst-case design in parametric and geometric shape optimization. Zbl 1297.49075
Allaire, Grégoire; Dapogny, Charles
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
2014
Second order corrector in the homogenization of a conductive-radiative heat transfer problem. Zbl 1270.35053
Allaire, Grégoire; Habibi, Zakaria
2013
Homogenization of a conductive, convective, and radiative heat transfer problem in a heterogeneous domain. Zbl 1276.35019
Allaire, Grégoire; Habibi, Zakaria
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
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
2013
Diffraction of Bloch wave packets for Maxwell’s equations. Zbl 1281.35083
Allaire, Grégoire; Palombaro, Mariapia; Rauch, Jeffrey
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
2012
Homogenization of reactive flows in porous media and competition between bulk and surface diffusion. Zbl 1341.76017
Allaire, G.; Hutridurga, H.
2012
A brief introduction to homogenization and miscellaneous applications. Zbl 1339.35001
Allaire, Grégoire
2012
Homogenization and concentration for a diffusion equation with large convection in a bounded domain. Zbl 1233.35013
Allaire, G.; Pankratova, I.; Piatnitski, A.
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.
2012
Shape optimization of a sodium fast reactor core. Zbl 1329.74228
Dombre, Emmanuel; Allaire, Grégoire; Pantz, Olivier; Schmitt, Damien
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
2012
In search of the lost inequality. (À la recherche de l’inégalité perdue.) Zbl 1365.35002
Allaire, Grégoire
2012
Damage and fracture evolution in brittle materials by shape optimization methods. Zbl 1356.74178
Allaire, Grégoire; Jouve, François; Van Goethem, Nicolas
2011
Diffractive geometric optics for Bloch wave packets. Zbl 1269.78004
Allaire, Grégoire; Palombaro, Mariapia; Rauch, Jeffrey
2011
Topology and geometry optimization of elastic structures by exact deformation of simplicial mesh. Zbl 1368.74045
Allaire, Grégoire; Dapogny, Charles; Frey, Pascal
2011
Optimal design of low-contrast two-phase structures for the wave equation. Zbl 1219.74039
Allaire, Grégoire; Kelly, Alex
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
2011
Homogenization approach to the dispersion theory for reactive transport through porous media. Zbl 1213.35057
Allaire, Grégoire; Mikelić, Andro; Piatnitski, Andrey
2010
Homogenization of the linearized ionic transport equations in rigid periodic porous media. Zbl 1314.76039
Allaire, Grégoire; Mikelić, Andro; Piatnitski, Andrey
2010
Long time behavior of a two-phase optimal design for the heat equation. Zbl 1298.35015
Allaire, Grégoire; Münch, Arnaud; Periago, Francisco
2010
Homogenization of nonlinear reaction-diffusion equation with a large reaction term. Zbl 1205.35019
Allaire, Grégoire; Piatnitski, Andrey
2010
Localization of high-frequency waves propagating in a locally periodic medium. Zbl 1204.35034
Allaire, G.; Friz, L.
2010
Approximation of liquid-vapor phase transition for compressible fluids with tabulated EOS. Zbl 1258.76162
Faccanoni, Gloria; Kokh, Samuel; Allaire, Grégoire
2010
Homogenization of a conductive and radiative heat transfer problem. Zbl 1180.35062
Allaire, Grégoire; El Ganaoui, Karima
2009
Diffractive behavior of the wave equation in periodic media: weak convergence analysis. Zbl 1200.35019
Allaire, Grégoire; Palombaro, Mariapia; Rauch, Jeffrey
2009
Two asymptotic models for arrays of underground waste containers. Zbl 1180.35061
Allaire, Grégoire; Briane, Marc; Brizzi, Robert; Capdeboscq, Yves
2009
Minimum stress optimal design with the level set method. Zbl 1244.74104
Allaire, Grégoire; Jouve, François
2008
Shape and topology optimization of the robust compliance via the level set method. Zbl 1245.49054
De Gournay, Frédéric; Allaire, Grégoire; Jouve, François
2008
Numerical linear algebra. Zbl 1135.65014
Allaire, Grégoire; Kaber, Sidi Mahmoud
2008
A level set method for the numerical simulation of damage evolution. Zbl 1419.74250
Allaire, Grégoire; Jouve, François; Van Goethem, Nicolas
2008
Periodic homogenization and effective mass theorems for the Schrödinger equation. Zbl 1173.82330
Allaire, Grégoire
2008
Numerical simulation with finite volume of dynamic liquid-vapor phase transition. Zbl 1374.76137
Faccanoni, G.; Kokh, S.; Allaire, G.
2008
Optimal treatment of structures. (Conception optimale de structures.) Zbl 1132.49033
Allaire, Grégoire
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
2007
Homogenization of a convection-diffusion model with reaction in a porous medium. Zbl 1114.35007
Allaire, Grégoire; Raphael, Anne-Lise
2007
Allaire, Grégoire; Gutiérrez, Sergio
2007
Homogenization of periodic non self-adjoint problems with large drift and potential. Zbl 1130.35307
Allaire, Grégoire; Orive, Rafael
2007
A strictly hyperbolic equilibrium phase transition model. Zbl 1109.35066
Allaire, Grégoire; Faccanoni, Gloria; Kokh, Samuel
2007
On two formulations of an optimal insulation problem. Zbl 1245.74067
Munoz, E.; Allaire, Grégoire; Bendsøe, Martin Philip
2007
On Bloch waves for the Stokes equations. Zbl 1124.35050
Allaire, Grégoire; Conca, Carlos; Friz, Luis; Ortega, Jaime H.
2007
Structural optimization with FreeFem++. Zbl 1245.74049
Allaire, Grégoire; Pantz, Olivier
2006
Localization for the Schrödinger equation in a locally periodic medium. Zbl 1302.35034
Allaire, Grégoire; Palombaro, Mariapia
2006
Homogenization of the Schrödinger equation with a time oscillating potential. Zbl 1096.35009
Allaire, Grégoire; Vanninathan, M.
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
2005
A level-set method for vibration and multiple loads structural optimization. Zbl 1091.74038
Allaire, Grégoire; Jouve, François
2005
A multiscale finite element method for numerical homogenization. Zbl 1093.35007
Allaire, Grégoire; Brizzi, Robert
2005
Homogenization of the Schrödinger equation and effective mass theorems. Zbl 1081.35092
Allaire, Grégoire; Piatnitski, Andrey
2005
Topology optimization with the homogenization and the level-set methods. Zbl 1320.74089
Allaire, G.
2005
On the band gap structure of Hill’s equation. Zbl 1095.34014
Allaire, G.; Orive, R.
2005
Numerical analysis and optimisation. (Analyse numérique et optimisation.) Zbl 1190.65001
Allaire, Grégoire
2005
Structural optimization using sensitivity analysis and a level-set method. Zbl 1136.74368
Allaire, Grégoire; Jouve, François; Toader, Anca-Maria
2004
Topology optimization for minimum stress design with the homogenization method. Zbl 1243.74148
Allaire, Grégoire; Jouve, François; Maillot, Hervé
2004
Homogenization of periodic systems with large potentials. Zbl 1072.35023
Allaire, Grégoire; Capdeboscq, Yves; Piatnitski, Andrey; Siess, Vincent; Vanninathan, M.
2004
Dispersive limits in the homogenization of the wave equation. Zbl 1070.35006
Allaire, Grégoire
2003
Homogenization and localization with an interface. Zbl 1073.35018
Allaire, Grégoire; Capdeboscq, Yves; Piatnitski, Andrey
2003
$$H$$-measures and bounds on the effective properties of composite materials. Zbl 1075.74068
Allaire, Grégoire; Maillot, Hervé
2003
Structural optimization by the level-set method. Zbl 1051.49028
Allaire, Grégoire; Jouve, François; Toader, Anca-Maria
2003
Shape optimization by the homogenization method. Zbl 0990.35001
Allaire, Grégoire
2002
A five-equation model for the simulation of interfaces between compressible fluids. Zbl 1169.76407
Allaire, Grégoire; Clerc, Sébastien; Kokh, Samuel
2002
A level-set method for shape optimization. Zbl 1115.49306
Allaire, Grégoire; Jouve, François; Toader, Anca-Maria
2002
Uniform spectral asymptotics for singularly perturbed locally periodic operators. Zbl 1026.35012
Allaire, Grégoire; Piatnitski, Andrey
2002
Homogenization and localization for a 1D eigenvalue problem in a periodic medium with an interface. Zbl 1072.35026
Allaire, Grégoire; Capdeboscq, Yves
2002
Optimal design of micro-mechanisms by the homogenization method. Zbl 1120.74710
Allaire, Grégoire; Jouve, François
2002
Homogenization and localization in locally periodic transport. Zbl 1065.35042
Allaire, Grégoire; Bal, Guillaume; Siess, Vincent
2002
Eigenfrequency optimization in optimal design. Zbl 1004.74063
Allaire, Grégoire; Aubry, Sylvie; Jouve, François
2001
On some recent advances in shape optimization. Zbl 0986.49023
Allaire, Grégoire; Henrot, Antoine
2001
A new approach for the optimal distribution of assemblies in a nuclear reactor. Zbl 0985.65074
Allaire, Grégoire; Castro, Carlos
2001
Numerical simulation of 2-D two-phase flows with interface. Zbl 1064.76548
Kokh, S.; Allaire, G.
2001
Homogenization of a spectral problem in neutronic multigroup diffusion. Zbl 1126.82346
Allaire, Grégoire; Capdeboscq, Yves
2000
...and 38 more Documents
all top 5

### Cited by 3,053 Authors

 77 Allaire, Grégoire 30 Piatnitski, Andrey L. 28 Wang, Michael Yu 26 Casado-Díaz, Juan 24 Dapogny, Charles 23 Cui, Junzhi 23 Luo, Zhen 20 Amstutz, Samuel 20 Mikelić, Andro 20 Novotny, Antonio André 18 Guo, Xu 18 Pedregal, Pablo 18 Suárez-Grau, Francisco Javier 18 Zhang, Weihong 17 Kang, Zhan 17 Nishiwaki, Shinji 17 Schweizer, Ben 16 Abdulle, Assyr 16 Briane, Marc 16 Yamada, Takayuki 16 Yang, Zhiqiang 15 Conca, Carlos 15 Pastukhova, Svetlana Evgenievna 15 Xia, Qi 14 Efendiev, Yalchin R. 14 Izui, Kazuhiro 14 Maute, Kurt 14 Sigmund, Ole 14 Tortorelli, Daniel A. 14 Zhang, Weisheng 13 Gao, Liang 13 Milton, Graeme Walter 12 Amaziane, Brahim 12 Cao, Liqun 12 Gruais, Isabelle 12 Hoang, Viet Ha 12 Muntean, Adrian 12 Neukamm, Stefan 12 Pankratov, Leonid S. 12 Rohan, Eduard 12 Shi, Tielin 12 Velčić, Igor 11 Bouchitté, Guy 11 Cherednichenko, Kirill D. 11 Jouve, François 11 Kovtunenko, Viktor Anatolievich 11 Pažanin, Igor 11 Ptashnyk, Mariya 11 Sokołowski, Jan 11 Sun, Yi 11 Visintin, Augusto 11 Woukeng, Jean Louis 11 Xia, Liang 11 Yeh, Li-Ming 11 Zhu, Jihong 11 Zhu, Shengfeng 11 Zuazua, Enrique 10 Dambrine, Marc 10 Evgrafov, Anton 10 Frénod, Emmanuel 10 Henning, Patrick 10 Neuss-Radu, Maria 10 Osmolovskij, V. G. 10 Periago, Francisco 10 Poliševski, Dan A. 10 Sili, Ali 10 Vanninathan, Muthusamy 10 Wang, Yiqiang 10 Zhikov, Vasiliĭ Vasil’evich 9 Amar, Micol 9 Boughammoura, Ahmed 9 Chung, Tsz Shun Eric 9 Luna-Laynez, Manuel 9 Masmoudi, Nader 9 Nnang, Hubert 9 Shumilova, Vladlena Valerievna 9 Toader, Anca-Maria 9 Tong, Liyong 9 Van Goethem, Nicolas 8 Barbarosie, Cristian 8 Chen, Shikui 8 Dong, Hao 8 Hassine, Maatoug 8 Holmbom, Anders 8 Lamacz, Agnes 8 Lewiński, Tomasz 8 Lipton, Robert P. 8 Martínez-Frutos, Jesús 8 Münch, Arnaud 8 Nomura, Tsuyoshi 8 Ohlberger, Mario 8 Rabczuk, Timon 8 Rozvany, George I. N. 8 Rumpf, Martin 8 Wei, Peng 8 Wheeler, Mary Fanett 8 Yamasaki, Shintaro 7 Anguiano, María 7 Bal, Guillaume 7 Bellido, José Carlos ...and 2,953 more Authors
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### Cited in 311 Serials

 269 Computer Methods in Applied Mechanics and Engineering 147 Journal of Computational Physics 92 Structural and Multidisciplinary Optimization 57 Applicable Analysis 57 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 56 Archive for Rational Mechanics and Analysis 56 Journal of Mathematical Analysis and Applications 53 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 42 International Journal for Numerical Methods in Engineering 41 Multiscale Modeling & Simulation 39 Journal of Computational and Applied Mathematics 38 Mathematical Methods in the Applied Sciences 38 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 37 Journal of Differential Equations 36 Calculus of Variations and Partial Differential Equations 34 SIAM Journal on Mathematical Analysis 33 Computers & Mathematics with Applications 33 Journal of Mathematical Sciences (New York) 32 Computational Mechanics 31 Computers and Fluids 29 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 29 Comptes Rendus. Mathématique. Académie des Sciences, Paris 27 Journal of the Mechanics and Physics of Solids 27 Journal de Mathématiques Pures et Appliquées. Neuvième Série 25 Journal of Optimization Theory and Applications 25 SIAM Journal on Control and Optimization 25 Applied Mathematical Modelling 21 Networks and Heterogeneous Media 20 Journal of Scientific Computing 19 Applied Mathematics and Computation 19 Asymptotic Analysis 19 Applications of Mathematics 18 Journal of Elasticity 18 Discrete and Continuous Dynamical Systems. Series S 17 SIAM Journal on Applied Mathematics 16 International Journal of Engineering Science 16 Communications in Partial Differential Equations 16 SIAM Journal on Scientific Computing 16 Engineering Analysis with Boundary Elements 16 Nonlinear Analysis. Real World Applications 15 ZAMP. Zeitschrift für angewandte Mathematik und Physik 15 Numerische Mathematik 15 Computational Geosciences 14 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 14 Mathematics and Mechanics of Solids 13 Communications in Mathematical Physics 13 European Journal of Mechanics. A. Solids 12 Continuum Mechanics and Thermodynamics 12 Mathematical Problems in Engineering 11 Acta Mechanica 11 Discrete and Continuous Dynamical Systems. Series B 10 Journal of Fluid Mechanics 10 SIAM Journal on Numerical Analysis 10 Acta Applicandae Mathematicae 10 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 10 Optimization and Engineering 10 Archives of Computational Methods in Engineering 10 Communications on Pure and Applied Analysis 9 Journal of Mathematical Physics 9 Mathematics and Computers in Simulation 9 Applied Numerical Mathematics 9 Applied Mathematics Letters 9 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 8 Annali di Matematica Pura ed Applicata. Serie Quarta 8 Quarterly of Applied Mathematics 8 European Journal of Applied Mathematics 8 NoDEA. Nonlinear Differential Equations and Applications 8 Communications in Computational Physics 7 Mathematics of Computation 7 Applied Mathematics and Optimization 7 Zeitschrift für Analysis und ihre Anwendungen 7 Computational Optimization and Applications 7 Advances in Computational Mathematics 7 Journal of Mathematical Fluid Mechanics 7 Acta Mechanica Sinica 6 Communications on Pure and Applied Mathematics 6 International Journal of Solids and Structures 6 Mathematical Notes 6 Chinese Annals of Mathematics. Series B 6 RAIRO. Modélisation Mathématique et Analyse Numérique 6 Mathematical and Computer Modelling 6 International Journal of Computer Mathematics 6 Mediterranean Journal of Mathematics 6 Inverse Problems in Science and Engineering 6 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 5 International Journal for Numerical Methods in Fluids 5 Journal of Engineering Mathematics 5 Journal of Statistical Physics 5 Ricerche di Matematica 5 Physica D 5 Computational Mathematics and Mathematical Physics 5 St. Petersburg Mathematical Journal 5 Discrete and Continuous Dynamical Systems 5 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 5 Optimization Methods & Software 5 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 5 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 5 International Journal of Computational Methods 5 Mathematical Control and Related Fields 5 S$$\vec{\text{e}}$$MA Journal ...and 211 more Serials
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### Cited in 48 Fields

 1,196 Partial differential equations (35-XX) 1,096 Mechanics of deformable solids (74-XX) 616 Fluid mechanics (76-XX) 555 Numerical analysis (65-XX) 501 Calculus of variations and optimal control; optimization (49-XX) 130 Optics, electromagnetic theory (78-XX) 90 Classical thermodynamics, heat transfer (80-XX) 90 Statistical mechanics, structure of matter (82-XX) 88 Operations research, mathematical programming (90-XX) 64 Biology and other natural sciences (92-XX) 61 Probability theory and stochastic processes (60-XX) 52 Operator theory (47-XX) 44 Systems theory; control (93-XX) 39 Functional analysis (46-XX) 25 Ordinary differential equations (34-XX) 24 Quantum theory (81-XX) 20 Computer science (68-XX) 18 Dynamical systems and ergodic theory (37-XX) 16 Information and communication theory, circuits (94-XX) 15 Integral equations (45-XX) 14 Global analysis, analysis on manifolds (58-XX) 13 Linear and multilinear algebra; matrix theory (15-XX) 12 Geophysics (86-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 10 Differential geometry (53-XX) 10 General topology (54-XX) 10 Statistics (62-XX) 10 Mechanics of particles and systems (70-XX) 10 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Approximations and expansions (41-XX) 8 Potential theory (31-XX) 7 General and overarching topics; collections (00-XX) 7 Measure and integration (28-XX) 6 Real functions (26-XX) 5 Functions of a complex variable (30-XX) 4 Difference and functional equations (39-XX) 4 Manifolds and cell complexes (57-XX) 4 Relativity and gravitational theory (83-XX) 2 History and biography (01-XX) 2 Combinatorics (05-XX) 2 Astronomy and astrophysics (85-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 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX)

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