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Author ID: allaire.gregoire Recent zbMATH articles by "Allaire, Grégoire"
Published as: Allaire, Grégoire; Allaire, G.; Allaire, Gregoire; Allaire, Grégire
External Links: MGP · Wikidata · IdRef · theses.fr
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 Palombaro, Mariapia
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 Bogoşel, Beniamin
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 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 Amaziane, Brahim
1 Barré, Sébastien
1 Belhachmi, Zakaria
1 Bendsøe, Martin Philip
1 Bernard, Olivier
1 Betbeder-Lauque, Xavier
1 Bihr, Martin
1 Bissuel, Aloïs
1 Blanc, Xavier
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 Godoy, Matías
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
1 Vernescu, Bogdan
...and 2 more Co-Authors
all top 5

Serials

8 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 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 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 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 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 Séminaire Laurent Schwartz. EDP et Applications
1 Numerical Mathematics and Scientific Computation

Publications by Year

Citations contained in zbMATH Open

143 Publications have been cited 4,370 times in 2,721 Documents Cited by Year
Homogenization and two-scale convergence. Zbl 0770.35005
Allaire, Grégoire
828
1992
Structural optimization using sensitivity analysis and a level-set method. Zbl 1136.74368
Allaire, Grégoire; Jouve, François; Toader, Anca-Maria
510
2004
Shape optimization by the homogenization method. Zbl 0990.35001
Allaire, Grégoire
339
2002
A five-equation model for the simulation of interfaces between compressible fluids. Zbl 1169.76407
Allaire, Grégoire; Clerc, Sébastien; Kokh, Samuel
163
2002
Multiscale convergence and reiterated homogenisation. Zbl 0866.35017
Allaire, G.; Briane, M.
115
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
115
1991
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
113
2005
A level-set method for shape optimization. Zbl 1115.49306
Allaire, Grégoire; Jouve, François; Toader, Anca-Maria
100
2002
Optimal treatment of structures. (Conception optimale de structures.) Zbl 1132.49033
Allaire, Grégoire
81
2007
Shape optimization by the homogenization method. Zbl 0889.73051
Allaire, Grégoire; Bonnetier, Eric; Francfort, Gilles; Jouve, François
78
1997
Homogenization of the Stokes flow in a connected porous medium. Zbl 0682.76077
Allaire, Grégoire
69
1989
A level-set method for vibration and multiple loads structural optimization. Zbl 1091.74038
Allaire, Grégoire; Jouve, François
69
2005
Optimal design for minimum weight and compliance in plane stress using extremal microstructures. Zbl 0794.73044
Allaire, G.; Kohn, Robert V.
68
1993
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
67
1991
Boundary layer tails in periodic homogenization. Zbl 0922.35014
Allaire, Grégoire; Amar, Micol
64
1999
Bloch wave homogenization and spectral asymptotic analysis. Zbl 0901.35005
Allaire, Grégoire; Conca, Carlos
54
1998
A multiscale finite element method for numerical homogenization. Zbl 1093.35007
Allaire, Grégoire; Brizzi, Robert
52
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
49
2007
Homogenization of the Schrödinger equation and effective mass theorems. Zbl 1081.35092
Allaire, Grégoire; Piatnitski, Andrey
44
2005
Minimum stress optimal design with the level set method. Zbl 1244.74104
Allaire, Grégoire; Jouve, François
42
2008
Shape optimization with a level set based mesh evolution method. Zbl 1423.74739
Allaire, G.; Dapogny, C.; Frey, P.
41
2014
Optimal bounds on the effective behavior of a mixture of two well-ordered elastic materials. Zbl 0805.73043
Allaire, Grégoire; Kohn, Robert V.
40
1993
Damage and fracture evolution in brittle materials by shape optimization methods. Zbl 1356.74178
Allaire, Grégoire; Jouve, François; Van Goethem, Nicolas
39
2011
Topology optimization for minimum stress design with the homogenization method. Zbl 1243.74148
Allaire, Grégoire; Jouve, François; Maillot, Hervé
37
2004
Shape and topology optimization of the robust compliance via the level set method. Zbl 1245.49054
De Gournay, Frédéric; Allaire, Grégoire; Jouve, François
37
2008
Multi-phase structural optimization via a level set method. Zbl 1287.49045
Allaire, G.; Dapogny, C.; Delgado, G.; Michailidis, G.
36
2014
Homogenization of the Neumann problem with nonisolated holes. Zbl 0823.35014
Allaire, Grégoire; Murat, François
33
1993
Structural optimization under overhang constraints imposed by additive manufacturing technologies. Zbl 1375.74076
Allaire, G.; Dapogny, C.; Estevez, R.; Faure, A.; Michailidis, G.
31
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.
30
2016
Structural optimization with FreeFem++. Zbl 1245.74049
Allaire, Grégoire; Pantz, Olivier
29
2006
Homogenization of the Navier-Stokes equations with a slip boundary condition. Zbl 0738.35059
Allaire, Grégoire
26
1991
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.
26
2019
Numerical linear algebra. Zbl 1135.65014
Allaire, Grégoire; Kaber, Sidi Mahmoud
25
2008
Homogenization of a convection-diffusion model with reaction in a porous medium. Zbl 1114.35007
Allaire, Grégoire; Raphael, Anne-Lise
24
2007
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 the criticality spectral equation in neutron transport. Zbl 0931.35010
Allaire, Grégoire; Bal, Guillaume
24
1999
Continuity of Darcy’s law in thelow-volume fraction limit. Zbl 0755.35084
Allaire, Grégoire
23
1991
Homogenization of periodic systems with large potentials. Zbl 1072.35023
Allaire, Grégoire; Capdeboscq, Yves; Piatnitski, Andrey; Siess, Vincent; Vanninathan, M.
22
2004
Second order corrector in the homogenization of a conductive-radiative heat transfer problem. Zbl 1270.35053
Allaire, Grégoire; Habibi, Zakaria
22
2013
Homogenization of a conductive and radiative heat transfer problem. Zbl 1180.35062
Allaire, Grégoire; El Ganaoui, Karima
22
2009
Homogenization of a spectral problem in neutronic multigroup diffusion. Zbl 1126.82346
Allaire, Grégoire; Capdeboscq, Yves
21
2000
Homogenization of the unsteady Stokes equations in porous media. Zbl 0801.35103
Allaire, G.
20
1993
Homogenization approach to the dispersion theory for reactive transport through porous media. Zbl 1213.35057
Allaire, Grégoire; Mikelić, Andro; Piatnitski, Andrey
20
2010
Eigenfrequency optimization in optimal design. Zbl 1004.74063
Allaire, Grégoire; Aubry, Sylvie; Jouve, François
19
2001
A linearized approach to worst-case design in parametric and geometric shape optimization. Zbl 1297.49075
Allaire, Grégoire; Dapogny, Charles
18
2014
Topology optimization of modulated and oriented periodic microstructures by the homogenization method. Zbl 1443.74246
Allaire, Grégoire; Geoffroy-Donders, Perle; Pantz, Olivier
18
2019
Homogenization of the linearized ionic transport equations in rigid periodic porous media. Zbl 1314.76039
Allaire, Grégoire; Mikelić, Andro; Piatnitski, Andrey
17
2010
A five-equation model for the numerical simulation of interfaces in two-phase flows. Zbl 1010.76055
Allaire, Grégoire; Clerc, Sébastien; Kokh, Samuel
17
2000
Taking into account thermal residual stresses in topology optimization of structures built by additive manufacturing. Zbl 1411.49028
Allaire, Grégoire; Jakabčin, Lukas
17
2018
Modelling and simulation of liquid-vapor phase transition in compressible flows based on thermodynamical equilibrium. Zbl 1267.76110
Faccanoni, Gloria; Kokh, Samuel; Allaire, Grégoire
16
2012
Homogenization of a conductive, convective, and radiative heat transfer problem in a heterogeneous domain. Zbl 1276.35019
Allaire, Grégoire; Habibi, Zakaria
16
2013
Long time behavior of a two-phase optimal design for the heat equation. Zbl 1298.35015
Allaire, Grégoire; Münch, Arnaud; Periago, Francisco
16
2010
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
Minimizers for a double-well problem with affine boundary conditions. Zbl 0958.49008
Allaire, Grégoire; Lods, Véronique
15
1999
Diffractive geometric optics for Bloch wave packets. Zbl 1269.78004
Allaire, Grégoire; Palombaro, Mariapia; Rauch, Jeffrey
15
2011
Boundary layers in the homogenization of a spectral problem in fluid-solid structures. Zbl 0918.35018
Allaire, Grégoire; Conca, Carlos
14
1998
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
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
14
2013
Homogenization of periodic non self-adjoint problems with large drift and potential. Zbl 1130.35307
Allaire, Grégoire; Orive, Rafael
13
2007
3-d topology optimization of modulated and oriented periodic microstructures by the homogenization method. Zbl 1453.74072
Geoffroy-Donders, Perle; Allaire, Grégoire; Pantz, Olivier
13
2020
Existence of minimizers for non-quasiconvex functionals arising in optimal design. Zbl 0913.49008
Allaire, Grégire; Francfort, Gilles
13
1998
Bloch-wave homogenization for a spectral problem in fluid-solid structures. Zbl 0857.73008
Allaire, Grégoire; Conca, Carlos
13
1996
On some recent advances in shape optimization. Zbl 0986.49023
Allaire, Grégoire; Henrot, Antoine
13
2001
Optimal design in small amplitude homogenization. Zbl 1148.65048
Allaire, Grégoire; Gutiérrez, Sergio
13
2007
Dispersive limits in the homogenization of the wave equation. Zbl 1070.35006
Allaire, Grégoire
12
2003
Homogenization of nonlinear reaction-diffusion equation with a large reaction term. Zbl 1205.35019
Allaire, Grégoire; Piatnitski, Andrey
12
2010
Topology and geometry optimization of elastic structures by exact deformation of simplicial mesh. Zbl 1368.74045
Allaire, Grégoire; Dapogny, Charles; Frey, Pascal
12
2011
Diffractive behavior of the wave equation in periodic media: weak convergence analysis. Zbl 1200.35019
Allaire, Grégoire; Palombaro, Mariapia; Rauch, Jeffrey
12
2009
The homogenization method for topology and shape optimization. Zbl 0885.73049
Allaire, G.
11
1997
Uniform spectral asymptotics for singularly perturbed locally periodic operators. Zbl 1026.35012
Allaire, Grégoire; Piatnitski, Andrey
11
2002
Shape and topology optimization. Zbl 1475.49048
Allaire, Grégoire; Dapogny, Charles; Jouve, François
11
2021
A brief introduction to homogenization and miscellaneous applications. Zbl 1339.35001
Allaire, Grégoire
10
2012
Optimal design of low-contrast two-phase structures for the wave equation. Zbl 1219.74039
Allaire, Grégoire; Kelly, Alex
10
2011
Homogenization of reactive flows in porous media and competition between bulk and surface diffusion. Zbl 1341.76017
Allaire, G.; Hutridurga, H.
10
2012
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.
10
2020
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
10
2017
A level set method for the numerical simulation of damage evolution. Zbl 1419.74250
Allaire, Grégoire; Jouve, François; Van Goethem, Nicolas
9
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
9
2017
Upscaling nonlinear adsorption in periodic porous media – homogenization approach. Zbl 1379.35010
Allaire, Grégoire; Hutridurga, Harsha
9
2016
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
9
1991
Homogenization and localization for a 1D eigenvalue problem in a periodic medium with an interface. Zbl 1072.35026
Allaire, Grégoire; Capdeboscq, Yves
8
2002
Asymptotic analysis of the Poisson-Boltzmann equation describing electrokinetics in porous media. Zbl 1264.35159
Allaire, Grégoire; Dufrêche, Jean-François; Mikelić, Andro; Piatnitski, Andrey
8
2013
Homogenization of the Navier-Stokes equations and derivation of Brinkman’s law. Zbl 0759.76072
Allaire, G.
7
1991
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
Body-fitted topology optimization of 2D and 3D fluid-to-fluid heat exchangers. Zbl 07340417
Feppon, F.; Allaire, G.; Dapogny, C.; Jolivet, P.
7
2021
A deterministic approximation method in shape optimization under random uncertainties. Zbl 1416.74080
Allaire, Grégoire; Dapogny, Charles
7
2015
Shape optimisation with the level set method for contact problems in linearised elasticity. Zbl 1416.74079
Maury, Aymeric; Allaire, Grégoire; Jouve, François
7
2017
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
7
2014
A strictly hyperbolic equilibrium phase transition model. Zbl 1109.35066
Allaire, Grégoire; Faccanoni, Gloria; Kokh, Samuel
7
2007
Two-scale convergence: A new method in periodic homogenization. Zbl 0822.35011
Allaire, G.
5
1994
Optimization of dispersive coefficients in the homogenization of the wave equation in periodic structures. Zbl 1404.35021
Allaire, G.; Yamada, T.
5
2018
A variational formulation for computing shape derivatives of geometric constraints along rays. Zbl 07201581
Feppon, Florian; Allaire, Grégoire; Dapogny, Charles
5
2020
Topology optimization with the homogenization and the level-set methods. Zbl 1320.74089
Allaire, G.
5
2005
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
Localization of high-frequency waves propagating in a locally periodic medium. Zbl 1204.35034
Allaire, G.; Friz, L.
5
2010
Localization for the Schrödinger equation in a locally periodic medium. Zbl 1302.35034
Allaire, Grégoire; Palombaro, Mariapia
5
2006
Optimal design of micro-mechanisms by the homogenization method. Zbl 1120.74710
Allaire, Grégoire; Jouve, François
5
2002
A priori error estimate of a multiscale finite element method for transport modeling. Zbl 1320.74106
Ouaki, Franck; Allaire, Grégoire; Desroziers, Sylvain; Enchéry, Guillaume
4
2015
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
4
1995
The homogenization method for topology and shape optimization. Single and multiple loads case. Zbl 0924.73163
Allaire, Grégoire; Belhachmi, Zakaria; Jouve, François
4
1996
Part and supports optimization in metal powder bed additive manufacturing using simplified process simulation. Zbl 07532567
Bihr, Martin; Allaire, Grégoire; Betbeder-Lauque, Xavier; Bogosel, Beniamin; Bordeu, Felipe; Querois, Julie
2
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
1
2022
Crime pays; homogenized wave equations for long times. Zbl 1492.35024
Allaire, Grégoire; Lamacz-Keymling, Agnes; Rauch, Jeffrey
1
2022
Topology optimization of structures undergoing brittle fracture. Zbl 07527708
Desai, Jeet; Allaire, Grégoire; Jouve, François
1
2022
Shape and topology optimization. Zbl 1475.49048
Allaire, Grégoire; Dapogny, Charles; Jouve, François
11
2021
Body-fitted topology optimization of 2D and 3D fluid-to-fluid heat exchangers. Zbl 07340417
Feppon, F.; Allaire, G.; Dapogny, C.; Jolivet, P.
7
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
13
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.
10
2020
A variational formulation for computing shape derivatives of geometric constraints along rays. Zbl 07201581
Feppon, Florian; Allaire, Grégoire; Dapogny, Charles
5
2020
Null space gradient flows for constrained optimization with applications to shape optimization. Zbl 1464.65064
Feppon, Florian; Allaire, Grégoire; Dapogny, Charles
2
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.
26
2019
Topology optimization of modulated and oriented periodic microstructures by the homogenization method. Zbl 1443.74246
Allaire, Grégoire; Geoffroy-Donders, Perle; Pantz, Olivier
18
2019
Structural optimization under internal porosity constraints using topological derivatives. Zbl 1440.74273
Martínez-Frutos, J.; Allaire, G.; Dapogny, C.; Periago, F.
2
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
2
2019
Taking into account thermal residual stresses in topology optimization of structures built by additive manufacturing. Zbl 1411.49028
Allaire, Grégoire; Jakabčin, Lukas
17
2018
Optimization of dispersive coefficients in the homogenization of the wave equation in periodic structures. Zbl 1404.35021
Allaire, G.; Yamada, T.
5
2018
Transport and diffusion. (Transport et diffusion.) Zbl 1432.82002
Allaire, Grégoire; Blanc, Xavier; Després, Bruno; Golse, François
3
2018
Elasto-plastic shape optimization using the level set method. Zbl 1387.35247
Maury, Aymeric; Allaire, Grégoire; Jouve, François
3
2018
Structural optimization under overhang constraints imposed by additive manufacturing technologies. Zbl 1375.74076
Allaire, G.; Dapogny, C.; Estevez, R.; Faure, A.; Michailidis, G.
31
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
10
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
9
2017
Shape optimisation with the level set method for contact problems in linearised elasticity. Zbl 1416.74079
Maury, Aymeric; Allaire, Grégoire; Jouve, François
7
2017
Homogenization of Stokes system using Bloch waves. Zbl 1375.35355
Allaire, Grégoire; Ghosh, Tuhin; Vanninathan, Muthusamy
3
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
2
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.
30
2016
Upscaling nonlinear adsorption in periodic porous media – homogenization approach. Zbl 1379.35010
Allaire, Grégoire; Hutridurga, Harsha
9
2016
Stacking sequence and shape optimization of laminated composite plates via a level-set method. Zbl 1445.74040
Allaire, G.; Delgado, G.
2
2016
A deterministic approximation method in shape optimization under random uncertainties. Zbl 1416.74080
Allaire, Grégoire; Dapogny, Charles
7
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
4
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.
41
2014
Multi-phase structural optimization via a level set method. Zbl 1287.49045
Allaire, G.; Dapogny, C.; Delgado, G.; Michailidis, G.
36
2014
A linearized approach to worst-case design in parametric and geometric shape optimization. Zbl 1297.49075
Allaire, Grégoire; Dapogny, Charles
18
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
7
2014
Second order corrector in the homogenization of a conductive-radiative heat transfer problem. Zbl 1270.35053
Allaire, Grégoire; Habibi, Zakaria
22
2013
Homogenization of a conductive, convective, and radiative heat transfer problem in a heterogeneous domain. Zbl 1276.35019
Allaire, Grégoire; Habibi, Zakaria
16
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
14
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
8
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
16
2012
A brief introduction to homogenization and miscellaneous applications. Zbl 1339.35001
Allaire, Grégoire
10
2012
Homogenization of reactive flows in porous media and competition between bulk and surface diffusion. Zbl 1341.76017
Allaire, G.; Hutridurga, H.
10
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
39
2011
Diffractive geometric optics for Bloch wave packets. Zbl 1269.78004
Allaire, Grégoire; Palombaro, Mariapia; Rauch, Jeffrey
15
2011
Topology and geometry optimization of elastic structures by exact deformation of simplicial mesh. Zbl 1368.74045
Allaire, Grégoire; Dapogny, Charles; Frey, Pascal
12
2011
Optimal design of low-contrast two-phase structures for the wave equation. Zbl 1219.74039
Allaire, Grégoire; Kelly, Alex
10
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
17
2010
Long time behavior of a two-phase optimal design for the heat equation. Zbl 1298.35015
Allaire, Grégoire; Münch, Arnaud; Periago, Francisco
16
2010
Homogenization of nonlinear reaction-diffusion equation with a large reaction term. Zbl 1205.35019
Allaire, Grégoire; Piatnitski, Andrey
12
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
1
2010
Homogenization of a conductive and radiative heat transfer problem. Zbl 1180.35062
Allaire, Grégoire; El Ganaoui, Karima
22
2009
Diffractive behavior of the wave equation in periodic media: weak convergence analysis. Zbl 1200.35019
Allaire, Grégoire; Palombaro, Mariapia; Rauch, Jeffrey
12
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
42
2008
Shape and topology optimization of the robust compliance via the level set method. Zbl 1245.49054
De Gournay, Frédéric; Allaire, Grégoire; Jouve, François
37
2008
Numerical linear algebra. Zbl 1135.65014
Allaire, Grégoire; Kaber, Sidi Mahmoud
25
2008
A level set method for the numerical simulation of damage evolution. Zbl 1419.74250
Allaire, Grégoire; Jouve, François; Van Goethem, Nicolas
9
2008
Periodic homogenization and effective mass theorems for the Schrödinger equation. Zbl 1173.82330
Allaire, Grégoire
4
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
81
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
49
2007
Homogenization of a convection-diffusion model with reaction in a porous medium. Zbl 1114.35007
Allaire, Grégoire; Raphael, Anne-Lise
24
2007
Homogenization of periodic non self-adjoint problems with large drift and potential. Zbl 1130.35307
Allaire, Grégoire; Orive, Rafael
13
2007
Optimal design in small amplitude homogenization. Zbl 1148.65048
Allaire, Grégoire; Gutiérrez, Sergio
13
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
29
2006
Localization for the Schrödinger equation in a locally periodic medium. Zbl 1302.35034
Allaire, Grégoire; Palombaro, Mariapia
5
2006
Homogenization of the Schrödinger equation with a time oscillating potential. Zbl 1096.35009
Allaire, Grégoire; Vanninathan, M.
2
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
113
2005
A level-set method for vibration and multiple loads structural optimization. Zbl 1091.74038
Allaire, Grégoire; Jouve, François
69
2005
A multiscale finite element method for numerical homogenization. Zbl 1093.35007
Allaire, Grégoire; Brizzi, Robert
52
2005
Homogenization of the Schrödinger equation and effective mass theorems. Zbl 1081.35092
Allaire, Grégoire; Piatnitski, Andrey
44
2005
Topology optimization with the homogenization and the level-set methods. Zbl 1320.74089
Allaire, G.
5
2005
On the band gap structure of Hill’s equation. Zbl 1095.34014
Allaire, G.; Orive, R.
4
2005
Numerical analysis and optimisation. (Analyse numérique et optimisation.) Zbl 1190.65001
Allaire, Grégoire
3
2005
Structural optimization using sensitivity analysis and a level-set method. Zbl 1136.74368
Allaire, Grégoire; Jouve, François; Toader, Anca-Maria
510
2004
Topology optimization for minimum stress design with the homogenization method. Zbl 1243.74148
Allaire, Grégoire; Jouve, François; Maillot, Hervé
37
2004
Homogenization of periodic systems with large potentials. Zbl 1072.35023
Allaire, Grégoire; Capdeboscq, Yves; Piatnitski, Andrey; Siess, Vincent; Vanninathan, M.
22
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
3
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
339
2002
A five-equation model for the simulation of interfaces between compressible fluids. Zbl 1169.76407
Allaire, Grégoire; Clerc, Sébastien; Kokh, Samuel
163
2002
A level-set method for shape optimization. Zbl 1115.49306
Allaire, Grégoire; Jouve, François; Toader, Anca-Maria
100
2002
Uniform spectral asymptotics for singularly perturbed locally periodic operators. Zbl 1026.35012
Allaire, Grégoire; Piatnitski, Andrey
11
2002
Homogenization and localization for a 1D eigenvalue problem in a periodic medium with an interface. Zbl 1072.35026
Allaire, Grégoire; Capdeboscq, Yves
8
2002
Optimal design of micro-mechanisms by the homogenization method. Zbl 1120.74710
Allaire, Grégoire; Jouve, François
5
2002
Homogenization and localization in locally periodic transport. Zbl 1065.35042
Allaire, Grégoire; Bal, Guillaume; Siess, Vincent
2
2002
...and 43 more Documents
all top 5

Cited by 3,355 Authors

81 Allaire, Grégoire
30 Piatnitski, Andrey L.
28 Wang, Michael Yu
27 Casado-Díaz, Juan
26 Dapogny, Charles
24 Cui, Junzhi
23 Luo, Zhen
21 Mikelić, Andro
21 Novotny, Antonio André
20 Amstutz, Samuel
20 Guo, Xu
20 Schweizer, Ben
19 Suárez-Grau, Francisco Javier
19 Zhang, Weihong
18 Pedregal, Pablo
17 Kang, Zhan
17 Nishiwaki, Shinji
17 Yamada, Takayuki
16 Abdulle, Assyr
16 Briane, Marc
16 Yang, Zhiqiang
15 Conca, Carlos
15 Efendiev, Yalchin R.
15 Pastukhova, Svetlana Evgenievna
15 Sigmund, Ole
15 Xia, Qi
15 Zhu, Shengfeng
14 Gao, Liang
14 Izui, Kazuhiro
14 Maute, Kurt
14 Pažanin, Igor
14 Tortorelli, Daniel A.
14 Zhang, Weisheng
13 Milton, Graeme Walter
13 Muntean, Adrian
13 Velčić, Igor
12 Amaziane, Brahim
12 Cao, Liqun
12 Cherednichenko, Kirill D.
12 Chung, Tsz Shun Eric
12 Gruais, Isabelle
12 Hoang, Viet Ha
12 Kovtunenko, Viktor Anatolievich
12 Neukamm, Stefan
12 Neuss-Radu, Maria
12 Pankratov, Leonid S.
12 Rohan, Eduard
12 Shi, Tielin
12 Xia, Liang
12 Zhu, Jihong
11 Bouchitté, Guy
11 Dambrine, Marc
11 Frénod, Emmanuel
11 Hassine, Maatoug
11 Jouve, François
11 Ptashnyk, Mariya
11 Sokołowski, Jan
11 Sun, Yi
11 Visintin, Augusto
11 Woukeng, Jean Louis
11 Yeh, Li-Ming
11 Zuazua, Enrique
10 Evgrafov, Anton
10 Henning, Patrick
10 Marušić-Paloka, Eduard
10 Osmolovskij, V. G.
10 Periago, Francisco
10 Poliševski, Dan A.
10 Sili, Ali
10 Vanninathan, Muthusamy
10 Wang, Yiqiang
10 Wei, Peng
10 Zhikov, Vasiliĭ Vasil’evich
9 Amar, Micol
9 Boughammoura, Ahmed
9 Chen, Shikui
9 Dong, Hao
9 Feppon, Florian
9 Gahn, Markus
9 Lamacz, Agnes
9 Luna-Laynez, Manuel
9 Masmoudi, Nader
9 Millet, Olivier
9 Nnang, Hubert
9 Shumilova, Vladlena Valerievna
9 Toader, Anca-Maria
9 Tong, Liyong
9 Van Goethem, Nicolas
8 Barbarosie, Cristian
8 Calvo-Jurado, Carmen
8 Donato, Patrizia
8 Holmbom, Anders
8 Legoll, Frédéric
8 Lewiński, Tomasz
8 Lipton, Robert P.
8 Martínez-Frutos, Jesús
8 Men’shov, Igor S.
8 Münch, Arnaud
8 Nomura, Tsuyoshi
8 Ohlberger, Mario
...and 3,255 more Authors
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Cited in 333 Serials

296 Computer Methods in Applied Mechanics and Engineering
161 Journal of Computational Physics
92 Structural and Multidisciplinary Optimization
65 Applicable Analysis
57 Archive for Rational Mechanics and Analysis
57 Journal of Mathematical Analysis and Applications
57 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
56 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
47 Multiscale Modeling & Simulation
42 International Journal for Numerical Methods in Engineering
40 Journal of Computational and Applied Mathematics
40 Journal of Differential Equations
40 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
38 Mathematical Methods in the Applied Sciences
37 SIAM Journal on Mathematical Analysis
36 Calculus of Variations and Partial Differential Equations
35 Computers & Mathematics with Applications
34 Computers and Fluids
33 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
33 Computational Mechanics
33 Applied Mathematical Modelling
33 Journal of Mathematical Sciences (New York)
29 Comptes Rendus. Mathématique. Académie des Sciences, Paris
28 Journal de Mathématiques Pures et Appliquées. Neuvième Série
27 Journal of the Mechanics and Physics of Solids
25 Journal of Optimization Theory and Applications
25 SIAM Journal on Control and Optimization
22 Journal of Elasticity
22 Networks and Heterogeneous Media
21 Asymptotic Analysis
21 Journal of Scientific Computing
20 Applied Mathematics and Computation
20 SIAM Journal on Scientific Computing
19 Applications of Mathematics
18 SIAM Journal on Applied Mathematics
18 Nonlinear Analysis. Real World Applications
18 Discrete and Continuous Dynamical Systems. Series S
17 Communications in Partial Differential Equations
17 Engineering Analysis with Boundary Elements
16 International Journal of Engineering Science
16 ZAMP. Zeitschrift für angewandte Mathematik und Physik
16 Numerische Mathematik
15 European Journal of Mechanics. A. Solids
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 Journal of Fluid Mechanics
13 SIAM Journal on Numerical Analysis
12 Acta Mechanica
12 Continuum Mechanics and Thermodynamics
12 Mathematical Problems in Engineering
11 Applied Mathematics and Optimization
11 Optimization and Engineering
11 Discrete and Continuous Dynamical Systems. Series B
10 Acta Applicandae Mathematicae
10 Applied Mathematics Letters
10 European Journal of Applied Mathematics
10 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
10 NoDEA. Nonlinear Differential Equations and Applications
10 Archives of Computational Methods in Engineering
10 Communications on Pure and Applied Analysis
10 Engineering Optimization
10 Communications in Computational Physics
9 Journal of Mathematical Physics
9 Annali di Matematica Pura ed Applicata. Serie Quarta
9 Mathematics and Computers in Simulation
9 Quarterly of Applied Mathematics
9 Applied Numerical Mathematics
9 Journal of Mathematical Fluid Mechanics
9 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
8 Computational Optimization and Applications
7 Mathematics of Computation
7 Zeitschrift für Analysis und ihre Anwendungen
7 Advances in Computational Mathematics
7 Acta Mechanica Sinica
6 Communications on Pure and Applied Mathematics
6 International Journal of Solids and Structures
6 Mathematical Notes
6 Journal of Functional Analysis
6 Chinese Annals of Mathematics. Series B
6 Physica D
6 RAIRO. Modélisation Mathématique et Analyse Numérique
6 Mathematical and Computer Modelling
6 International Journal of Computer Mathematics
6 Optimization Methods & Software
6 Mediterranean Journal of Mathematics
6 Boundary Value Problems
6 Inverse Problems in Science and Engineering
6 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
6 Mathematics and Mechanics of Complex Systems
5 International Journal for Numerical Methods in Fluids
5 Journal of Engineering Mathematics
5 Journal of Statistical Physics
5 Ricerche di Matematica
5 Computational Mathematics and Mathematical Physics
5 St. Petersburg Mathematical Journal
5 Computational and Applied Mathematics
5 Discrete and Continuous Dynamical Systems
5 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
...and 233 more Serials
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Cited in 48 Fields

1,287 Partial differential equations (35-XX)
1,167 Mechanics of deformable solids (74-XX)
695 Fluid mechanics (76-XX)
606 Numerical analysis (65-XX)
519 Calculus of variations and optimal control; optimization (49-XX)
136 Optics, electromagnetic theory (78-XX)
106 Operations research, mathematical programming (90-XX)
98 Classical thermodynamics, heat transfer (80-XX)
97 Statistical mechanics, structure of matter (82-XX)
68 Biology and other natural sciences (92-XX)
62 Probability theory and stochastic processes (60-XX)
59 Operator theory (47-XX)
51 Systems theory; control (93-XX)
42 Functional analysis (46-XX)
28 Ordinary differential equations (34-XX)
27 Quantum theory (81-XX)
23 Computer science (68-XX)
17 Dynamical systems and ergodic theory (37-XX)
17 Integral equations (45-XX)
16 Information and communication theory, circuits (94-XX)
15 Linear and multilinear algebra; matrix theory (15-XX)
14 Global analysis, analysis on manifolds (58-XX)
13 General topology (54-XX)
13 Geophysics (86-XX)
12 Harmonic analysis on Euclidean spaces (42-XX)
11 Approximations and expansions (41-XX)
11 Statistics (62-XX)
11 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
10 Mechanics of particles and systems (70-XX)
9 Measure and integration (28-XX)
9 Potential theory (31-XX)
9 Differential geometry (53-XX)
7 Real functions (26-XX)
6 General and overarching topics; collections (00-XX)
6 Functions of a complex variable (30-XX)
5 Manifolds and cell complexes (57-XX)
4 Difference and functional equations (39-XX)
3 Relativity and gravitational theory (83-XX)
2 History and biography (01-XX)
2 Combinatorics (05-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)
1 Astronomy and astrophysics (85-XX)

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