×
Author ID: allaire.gregoire Recent zbMATH articles by "Allaire, Grégoire"
Published as: Allaire, Grégoire; Allaire, G.; Allaire, Gregoire
Homepage: http://www.cmap.polytechnique.fr/~allaire/
External Links: MGP · Wikidata · GND · 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 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 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
1 Tournier, Christophe
...and 4 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

Publications by Year

Citations contained in zbMATH Open

146 Publications have been cited 5,379 times in 3,347 Documents Cited by Year
Homogenization and two-scale convergence. Zbl 0770.35005
Allaire, Grégoire
941
1992
Structural optimization using sensitivity analysis and a level-set method. Zbl 1136.74368
Allaire, Grégoire; Jouve, François; Toader, Anca-Maria
669
2004
Shape optimization by the homogenization method. Zbl 0990.35001
Allaire, Grégoire
401
2002
A five-equation model for the simulation of interfaces between compressible fluids. Zbl 1169.76407
Allaire, Grégoire; Clerc, Sébastien; Kokh, Samuel
202
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
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
131
2005
Multiscale convergence and reiterated homogenisation. Zbl 0866.35017
Allaire, G.; Briane, M.
130
1996
A level-set method for shape optimization. Zbl 1115.49306
Allaire, Grégoire; Jouve, François; Toader, Anca-Maria
129
2002
Optimal treatment of structures. (Conception optimale de structures.) Zbl 1132.49033
Allaire, Grégoire
115
2007
Shape optimization by the homogenization method. Zbl 0889.73051
Allaire, Grégoire; Bonnetier, Eric; Francfort, Gilles; Jouve, François
95
1997
Homogenization of the Stokes flow in a connected porous medium. Zbl 0682.76077
Allaire, Grégoire
91
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
85
1991
A level-set method for vibration and multiple loads structural optimization. Zbl 1091.74038
Allaire, Grégoire; Jouve, François
80
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
77
2007
Optimal design for minimum weight and compliance in plane stress using extremal microstructures. Zbl 0794.73044
Allaire, G.; Kohn, Robert V.
76
1993
Boundary layer tails in periodic homogenization. Zbl 0922.35014
Allaire, Grégoire; Amar, Micol
74
1999
A multiscale finite element method for numerical homogenization. Zbl 1093.35007
Allaire, Grégoire; Brizzi, Robert
63
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.
58
2014
Homogenization of the Schrödinger equation and effective mass theorems. Zbl 1081.35092
Allaire, Grégoire; Piatnitski, Andrey
54
2005
Multi-phase structural optimization via a level set method. Zbl 1287.49045
Allaire, G.; Dapogny, C.; Delgado, G.; Michailidis, G.
48
2014
Minimum stress optimal design with the level set method. Zbl 1244.74104
Allaire, Grégoire; Jouve, François
47
2008
Damage and fracture evolution in brittle materials by shape optimization methods. Zbl 1356.74178
Allaire, Grégoire; Jouve, François; Van Goethem, Nicolas
46
2011
Topology optimization for minimum stress design with the homogenization method. Zbl 1243.74148
Allaire, Grégoire; Jouve, François; Maillot, Hervé
45
2004
Structural optimization under overhang constraints imposed by additive manufacturing technologies. Zbl 1375.74076
Allaire, G.; Dapogny, C.; Estevez, R.; Faure, A.; Michailidis, G.
42
2017
Optimal bounds on the effective behavior of a mixture of two well-ordered elastic materials. Zbl 0805.73043
Allaire, Grégoire; Kohn, Robert V.
42
1993
Structural optimization with FreeFem++. Zbl 1245.74049
Allaire, Grégoire; Pantz, Olivier
41
2006
Homogenization of the Neumann problem with nonisolated holes. Zbl 0823.35014
Allaire, Grégoire; Murat, François
39
1993
Shape and topology optimization of the robust compliance via the level set method. Zbl 1245.49054
De Gournay, Frédéric; Allaire, Grégoire; Jouve, François
39
2008
Topology optimization of modulated and oriented periodic microstructures by the homogenization method. Zbl 1443.74246
Allaire, Grégoire; Geoffroy-Donders, Perle; Pantz, Olivier
38
2019
Numerical linear algebra. Zbl 1135.65014
Allaire, Grégoire; Kaber, Sidi Mahmoud
37
2008
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.
36
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.
34
2019
Second order corrector in the homogenization of a conductive-radiative heat transfer problem. Zbl 1270.35053
Allaire, Grégoire; Habibi, Zakaria
34
2013
Homogenization of the Navier-Stokes equations with a slip boundary condition. Zbl 0738.35059
Allaire, Grégoire
33
1991
Homogenization of the unsteady Stokes equations in porous media. Zbl 0801.35103
Allaire, G.
29
1993
Homogenization of a convection-diffusion model with reaction in a porous medium. Zbl 1114.35007
Allaire, Grégoire; Raphael, Anne-Lise
28
2007
Shape and topology optimization. Zbl 1475.49048
Allaire, Grégoire; Dapogny, Charles; Jouve, François
28
2021
Homogenization of a conductive and radiative heat transfer problem. Zbl 1180.35062
Allaire, Grégoire; El Ganaoui, Karima
27
2009
Continuity of Darcy’s law in thelow-volume fraction limit. Zbl 0755.35084
Allaire, Grégoire
26
1991
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
25
1999
Explicit optimal bounds on the elastic energy of a two-phase composite in two space dimensions. Zbl 0805.73042
Allaire, Grégoire; Kohn, Robert V.
25
1993
3-d topology optimization of modulated and oriented periodic microstructures by the homogenization method. Zbl 1453.74072
Geoffroy-Donders, Perle; Allaire, Grégoire; Pantz, Olivier
24
2020
Homogenization approach to the dispersion theory for reactive transport through porous media. Zbl 1213.35057
Allaire, Grégoire; Mikelić, Andro; Piatnitski, Andrey
23
2010
Eigenfrequency optimization in optimal design. Zbl 1004.74063
Allaire, Grégoire; Aubry, Sylvie; Jouve, François
23
2001
A linearized approach to worst-case design in parametric and geometric shape optimization. Zbl 1297.49075
Allaire, Grégoire; Dapogny, Charles
23
2014
Homogenization of a conductive, convective, and radiative heat transfer problem in a heterogeneous domain. Zbl 1276.35019
Allaire, Grégoire; Habibi, Zakaria
21
2013
Homogenization of a spectral problem in neutronic multigroup diffusion. Zbl 1126.82346
Allaire, Grégoire; Capdeboscq, Yves
21
2000
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
20
2010
Long time behavior of a two-phase optimal design for the heat equation. Zbl 1298.35015
Allaire, Grégoire; Münch, Arnaud; Periago, Francisco
19
2010
Minimizers for a double-well problem with affine boundary conditions. Zbl 0958.49008
Allaire, Grégoire; Lods, Véronique
19
1999
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 five-equation model for the numerical simulation of interfaces in two-phase flows. Zbl 1010.76055
Allaire, Grégoire; Clerc, Sébastien; Kokh, Samuel
18
2000
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.
18
2020
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
Body-fitted topology optimization of 2D and 3D fluid-to-fluid heat exchangers. Zbl 1506.74270
Feppon, F.; Allaire, G.; Dapogny, C.; Jolivet, P.
17
2021
Topology and geometry optimization of elastic structures by exact deformation of simplicial mesh. Zbl 1368.74045
Allaire, Grégoire; Dapogny, Charles; Frey, Pascal
16
2011
Existence of minimizers for non-quasiconvex functionals arising in optimal design. Zbl 0913.49008
Allaire, Grégoire; Francfort, Gilles
16
1998
Numerical analysis and optimisation. (Analyse numérique et optimisation.) Zbl 1190.65001
Allaire, Grégoire
16
2005
A deterministic approximation method in shape optimization under random uncertainties. Zbl 1416.74080
Allaire, Grégoire; Dapogny, Charles
15
2015
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
Diffractive geometric optics for Bloch wave packets. Zbl 1269.78004
Allaire, Grégoire; Palombaro, Mariapia; Rauch, Jeffrey
15
2011
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
14
2017
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
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 brief introduction to homogenization and miscellaneous applications. Zbl 1339.35001
Allaire, Grégoire
13
2012
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
13
2017
The homogenization method for topology and shape optimization. Zbl 0885.73049
Allaire, G.
13
1997
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
On some recent advances in shape optimization. Zbl 0986.49023
Allaire, Grégoire; Henrot, Antoine
13
2001
Bloch-wave homogenization for a spectral problem in fluid-solid structures. Zbl 0857.73008
Allaire, Grégoire; Conca, Carlos
13
1996
Dispersive limits in the homogenization of the wave equation. Zbl 1070.35006
Allaire, Grégoire
12
2003
Uniform spectral asymptotics for singularly perturbed locally periodic operators. Zbl 1026.35012
Allaire, Grégoire; Piatnitski, Andrey
12
2002
Upscaling nonlinear adsorption in periodic porous media – homogenization approach. Zbl 1379.35010
Allaire, Grégoire; Hutridurga, Harsha
11
2016
Optimal design of low-contrast two-phase structures for the wave equation. Zbl 1219.74039
Allaire, Grégoire; Kelly, Alex
11
2011
Homogenization of reactive flows in porous media and competition between bulk and surface diffusion. Zbl 1341.76017
Allaire, G.; Hutridurga, H.
11
2012
Optimization of dispersive coefficients in the homogenization of the wave equation in periodic structures. Zbl 1404.35021
Allaire, G.; Yamada, T.
10
2018
Shape optimisation with the level set method for contact problems in linearised elasticity. Zbl 1416.74079
Maury, Aymeric; Allaire, Grégoire; Jouve, François
10
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
10
2014
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
Null space gradient flows for constrained optimization with applications to shape optimization. Zbl 1464.65064
Feppon, Florian; Allaire, Grégoire; Dapogny, Charles
10
2020
Homogenization and localization for a 1D eigenvalue problem in a periodic medium with an interface. Zbl 1072.35026
Allaire, Grégoire; Capdeboscq, Yves
9
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
9
2013
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
Crime pays; homogenized wave equations for long times. Zbl 1492.35024
Allaire, Grégoire; Lamacz-Keymling, Agnes; Rauch, Jeffrey
7
2022
Topology optimization of structures undergoing brittle fracture. Zbl 07527708
Desai, Jeet; Allaire, Grégoire; Jouve, François
7
2022
Topology optimization with the homogenization and the level-set methods. Zbl 1320.74089
Allaire, G.
6
2005
Localization for the Schrödinger equation in a locally periodic medium. Zbl 1302.35034
Allaire, Grégoire; Palombaro, Mariapia
6
2006
The homogenization method for topology and shape optimization. Single and multiple loads case. Zbl 0924.73163
Allaire, Grégoire; Belhachmi, Zakaria; Jouve, François
6
1996
Two-scale convergence: A new method in periodic homogenization. Zbl 0822.35011
Allaire, G.
6
1994
The homogenization method for topology optimization of structures: old and new. Zbl 1452.74096
Allaire, Grégoire; Cavallina, Lorenzo; Miyake, Nobuhito; Oka, Tomoyuki; Yachimura, Toshiaki
6
2019
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
Crime pays; homogenized wave equations for long times. Zbl 1492.35024
Allaire, Grégoire; Lamacz-Keymling, Agnes; Rauch, Jeffrey
7
2022
Topology optimization of structures undergoing brittle fracture. Zbl 07527708
Desai, Jeet; Allaire, Grégoire; Jouve, François
7
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
28
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.
17
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
24
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.
18
2020
Null space gradient flows for constrained optimization with applications to shape optimization. Zbl 1464.65064
Feppon, Florian; Allaire, Grégoire; Dapogny, Charles
10
2020
A variational formulation for computing shape derivatives of geometric constraints along rays. Zbl 07201581
Feppon, Florian; Allaire, Grégoire; Dapogny, Charles
5
2020
Topology optimization of modulated and oriented periodic microstructures by the homogenization method. Zbl 1443.74246
Allaire, Grégoire; Geoffroy-Donders, Perle; Pantz, Olivier
38
2019
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.
34
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
6
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.
10
2018
Transport and diffusion. (Transport et diffusion.) Zbl 1432.82002
Allaire, Grégoire; Blanc, Xavier; Després, Bruno; Golse, François
5
2018
Elasto-plastic shape optimization using the level set method. Zbl 1387.35247
Maury, Aymeric; Allaire, Grégoire; Jouve, François
5
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.
42
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
14
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
13
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
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
Homogenization of Stokes system using Bloch waves. Zbl 1375.35355
Allaire, Grégoire; Ghosh, Tuhin; Vanninathan, Muthusamy
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.
36
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
15
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.
58
2014
Multi-phase structural optimization via a level set method. Zbl 1287.49045
Allaire, G.; Dapogny, C.; Delgado, G.; Michailidis, G.
48
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
10
2014
Second order corrector in the homogenization of a conductive-radiative heat transfer problem. Zbl 1270.35053
Allaire, Grégoire; Habibi, Zakaria
34
2013
Homogenization of a conductive, convective, and radiative heat transfer problem in a heterogeneous domain. Zbl 1276.35019
Allaire, Grégoire; Habibi, Zakaria
21
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
In search of the lost inequality. (À la recherche de l’inégalité perdue.) Zbl 1365.35002
Allaire, Grégoire
1
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
Damage and fracture evolution in brittle materials by shape optimization methods. Zbl 1356.74178
Allaire, Grégoire; Jouve, François; Van Goethem, Nicolas
46
2011
Topology and geometry optimization of elastic structures by exact deformation of simplicial mesh. Zbl 1368.74045
Allaire, Grégoire; Dapogny, Charles; Frey, Pascal
16
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
23
2010
Homogenization of the linearized ionic transport equations in rigid periodic porous media. Zbl 1314.76039
Allaire, Grégoire; Mikelić, Andro; Piatnitski, Andrey
20
2010
Long time behavior of a two-phase optimal design for the heat equation. Zbl 1298.35015
Allaire, Grégoire; Münch, Arnaud; Periago, Francisco
19
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
27
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
47
2008
Shape and topology optimization of the robust compliance via the level set method. Zbl 1245.49054
De Gournay, Frédéric; Allaire, Grégoire; Jouve, François
39
2008
Numerical linear algebra. Zbl 1135.65014
Allaire, Grégoire; Kaber, Sidi Mahmoud
37
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
115
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
77
2007
Homogenization of a convection-diffusion model with reaction in a porous medium. Zbl 1114.35007
Allaire, Grégoire; Raphael, Anne-Lise
28
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
41
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
131
2005
A level-set method for vibration and multiple loads structural optimization. Zbl 1091.74038
Allaire, Grégoire; Jouve, François
80
2005
A multiscale finite element method for numerical homogenization. Zbl 1093.35007
Allaire, Grégoire; Brizzi, Robert
63
2005
Homogenization of the Schrödinger equation and effective mass theorems. Zbl 1081.35092
Allaire, Grégoire; Piatnitski, Andrey
54
2005
Numerical analysis and optimisation. (Analyse numérique et optimisation.) Zbl 1190.65001
Allaire, Grégoire
16
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
669
2004
Topology optimization for minimum stress design with the homogenization method. Zbl 1243.74148
Allaire, Grégoire; Jouve, François; Maillot, Hervé
45
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
\(H\)-measures and bounds on the effective properties of composite materials. Zbl 1075.74068
Allaire, Grégoire; Maillot, Hervé
4
2003
Homogenization and localization with an interface. Zbl 1073.35018
Allaire, Grégoire; Capdeboscq, Yves; Piatnitski, Andrey
4
2003
Structural optimization by the level-set method. Zbl 1051.49028
Allaire, Grégoire; Jouve, François; Toader, Anca-Maria
3
2003
Shape optimization by the homogenization method. Zbl 0990.35001
Allaire, Grégoire
401
2002
A five-equation model for the simulation of interfaces between compressible fluids. Zbl 1169.76407
Allaire, Grégoire; Clerc, Sébastien; Kokh, Samuel
202
2002
A level-set method for shape optimization. Zbl 1115.49306
Allaire, Grégoire; Jouve, François; Toader, Anca-Maria
129
2002
Uniform spectral asymptotics for singularly perturbed locally periodic operators. Zbl 1026.35012
Allaire, Grégoire; Piatnitski, Andrey
12
2002
...and 46 more Documents
all top 5

Cited by 4,145 Authors

85 Allaire, Grégoire
33 Piatnitski, Andrey L.
31 Cui, Junzhi
29 Guo, Xu
29 Yamada, Takayuki
28 Dapogny, Charles
28 Wang, Michael Yu
27 Casado-Díaz, Juan
27 Luo, Zhen
26 Zhang, Weihong
25 Kang, Zhan
23 Gao, Liang
23 Mikelić, Andro
22 Novotny, Antonio André
22 Zhang, Weisheng
21 Amstutz, Samuel
21 Nishiwaki, Shinji
21 Suárez-Grau, Francisco Javier
21 Zhu, Shengfeng
20 Schweizer, Ben
20 Yang, Zhiqiang
19 Li, Hao
19 Sigmund, Ole
18 Izui, Kazuhiro
18 Pedregal, Pablo
17 Briane, Marc
16 Abdulle, Assyr
16 Conca, Carlos
16 Efendiev, Yalchin R.
16 Pastukhova, Svetlana Evgenievna
16 Pažanin, Igor
16 Xia, Qi
16 Zhu, Jihong
15 Ma, Qiang
15 Maute, Kurt
15 Tortorelli, Daniel A.
15 Xia, Liang
14 Amaziane, Brahim
14 Chung, Tsz Shun Eric
14 Milton, Graeme Walter
14 Muntean, Adrian
14 Rohan, Eduard
14 Sun, Yi
14 Velčić, Igor
13 Amar, Micol
13 Cherednichenko, Kirill D.
13 Evgrafov, Anton
13 Feppon, Florian
13 Hassine, Maatoug
13 Hoang, Viet Ha
13 Kovtunenko, Viktor Anatolievich
13 Neukamm, Stefan
13 Shi, Tielin
13 Sokołowski, Jan
13 Timofte, Claudia
13 Wick, Thomas
12 Cao, Liqun
12 Dambrine, Marc
12 Gahn, Markus
12 Gruais, Isabelle
12 Jouve, François
12 Neuss-Radu, Maria
12 Pankratov, Leonid S.
12 Ptashnyk, Mariya
12 Wei, Peng
12 Woukeng, Jean Louis
12 Zuazua, Enrique
11 Bouchitté, Guy
11 Frénod, Emmanuel
11 Harbrecht, Helmut
11 Henning, Patrick
11 Liu, Shutian
11 Marušić-Paloka, Eduard
11 Osmolovskij, V. G.
11 Sili, Ali
11 Silva, Emílio Carlos Nelli
11 Visintin, Augusto
11 Xiao, Mi
11 Yeh, Li-Ming
10 Chakib, Abdelkrim
10 Chen, Shikui
10 Dong, Hao
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 Peter, Malte Andreas
10 Poliševski, Dan A.
10 Rabczuk, Timon
10 Rumpf, Martin
10 Takezawa, Akihiro
10 Tong, Liyong
10 Vanninathan, Muthusamy
10 Wang, Yiqiang
10 Zhang, Chao
...and 4,045 more Authors
all top 5

Cited in 361 Serials

402 Computer Methods in Applied Mechanics and Engineering
194 Journal of Computational Physics
119 International Journal for Numerical Methods in Engineering
92 Structural and Multidisciplinary Optimization
69 Applicable Analysis
65 Journal of Mathematical Analysis and Applications
62 Mathematical Methods in the Applied Sciences
62 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
60 Archive for Rational Mechanics and Analysis
58 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
56 Multiscale Modeling & Simulation
48 Journal of Computational and Applied Mathematics
48 SIAM Journal on Mathematical Analysis
47 Journal of Differential Equations
47 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
42 Computers & Mathematics with Applications
41 Applied Mathematical Modelling
39 Computers and Fluids
39 Computational Mechanics
39 Calculus of Variations and Partial Differential Equations
35 Journal of Mathematical Sciences (New York)
33 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
33 SIAM Journal on Control and Optimization
30 Journal de Mathématiques Pures et Appliquées. Neuvième Série
30 Comptes Rendus. Mathématique. Académie des Sciences, Paris
29 SIAM Journal on Scientific Computing
28 Journal of the Mechanics and Physics of Solids
26 Journal of Optimization Theory and Applications
26 Asymptotic Analysis
26 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
24 Journal of Scientific Computing
24 Networks and Heterogeneous Media
23 Applications of Mathematics
23 Journal of Elasticity
22 Applied Mathematics and Computation
20 ZAMP. Zeitschrift für angewandte Mathematik und Physik
20 SIAM Journal on Applied Mathematics
20 Nonlinear Analysis. Real World Applications
19 Engineering Analysis with Boundary Elements
19 European Journal of Mechanics. A. Solids
19 Discrete and Continuous Dynamical Systems. Series S
17 International Journal of Engineering Science
17 Communications in Partial Differential Equations
17 Computational Geosciences
17 Engineering Optimization
16 Applied Mathematics and Optimization
16 Numerische Mathematik
15 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
15 Optimization and Engineering
15 Discrete and Continuous Dynamical Systems. Series B
14 Journal of Fluid Mechanics
14 SIAM Journal on Numerical Analysis
14 Mathematics and Mechanics of Solids
14 Communications in Computational Physics
13 Acta Mechanica
13 Communications in Mathematical Physics
13 Continuum Mechanics and Thermodynamics
13 Mathematical Problems in Engineering
12 Mathematics and Computers in Simulation
12 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
11 Journal of Mathematical Physics
11 Acta Applicandae Mathematicae
11 Applied Mathematics Letters
11 European Journal of Applied Mathematics
11 NoDEA. Nonlinear Differential Equations and Applications
11 Journal of Mathematical Fluid Mechanics
11 Communications on Pure and Applied Analysis
10 Communications on Pure and Applied Mathematics
10 International Journal for Numerical Methods in Fluids
10 Journal of Functional Analysis
10 Applied Numerical Mathematics
10 Archives of Computational Methods in Engineering
9 Mathematics of Computation
9 Annali di Matematica Pura ed Applicata. Serie Quarta
9 Meccanica
9 Quarterly of Applied Mathematics
9 Computational Optimization and Applications
9 Computational and Applied Mathematics
9 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
8 Acta Mechanica Sinica
7 Nonlinearity
7 Zeitschrift für Analysis und ihre Anwendungen
7 Chinese Annals of Mathematics. Series B
7 Physica D
7 Mathematical and Computer Modelling
7 Journal of Nonlinear Science
7 Advances in Computational Mathematics
7 International Journal of Computational Methods
7 Oberwolfach Reports
7 Mathematics and Mechanics of Complex Systems
6 International Journal of Solids and Structures
6 Inverse Problems
6 Mathematical Notes
6 RAIRO. Modélisation Mathématique et Analyse Numérique
6 Numerical Methods for Partial Differential Equations
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
...and 261 more Serials
all top 5

Cited in 49 Fields

1,545 Partial differential equations (35-XX)
1,492 Mechanics of deformable solids (74-XX)
820 Fluid mechanics (76-XX)
816 Numerical analysis (65-XX)
622 Calculus of variations and optimal control; optimization (49-XX)
160 Optics, electromagnetic theory (78-XX)
118 Classical thermodynamics, heat transfer (80-XX)
115 Operations research, mathematical programming (90-XX)
103 Statistical mechanics, structure of matter (82-XX)
82 Probability theory and stochastic processes (60-XX)
76 Biology and other natural sciences (92-XX)
74 Operator theory (47-XX)
53 Functional analysis (46-XX)
53 Systems theory; control (93-XX)
39 Ordinary differential equations (34-XX)
33 Computer science (68-XX)
33 Quantum theory (81-XX)
23 Integral equations (45-XX)
21 Dynamical systems and ergodic theory (37-XX)
18 Linear and multilinear algebra; matrix theory (15-XX)
18 Global analysis, analysis on manifolds (58-XX)
17 Information and communication theory, circuits (94-XX)
16 Real functions (26-XX)
15 Approximations and expansions (41-XX)
15 Statistics (62-XX)
15 Geophysics (86-XX)
14 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
13 Harmonic analysis on Euclidean spaces (42-XX)
13 General topology (54-XX)
12 General and overarching topics; collections (00-XX)
12 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)
3 History and biography (01-XX)
3 Combinatorics (05-XX)
3 Relativity and gravitational theory (83-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Abstract harmonic analysis (43-XX)
1 Field theory and polynomials (12-XX)
1 Algebraic geometry (14-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

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.