Grégoire Allaire
Grégoire Allaire
professeur de mathématiques appliquées, Ecole Polytechnique
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Cited by
Cited by
Homogenization and two-scale convergence
G Allaire
SIAM Journal on Mathematical Analysis 23 (6), 1482-1518, 1992
Structural optimization using sensitivity analysis and a level-set method
G Allaire, F Jouve, AM Toader
Journal of computational physics 194 (1), 363-393, 2004
Shape optimization by the homogenization method
G Allaire
Springer Science & Business Media, 2012
A level-set method for shape optimization
G Allaire, F Jouve, AM Toader
Comptes Rendus Mathematique 334 (12), 1125-1130, 2002
A five-equation model for the simulation of interfaces between compressible fluids
G Allaire, S Clerc, S Kokh
Journal of Computational Physics 181 (2), 577-616, 2002
Structural optimization using topological and shape sensitivity via a level set method
G Allaire, F De Gournay, F Jouve, AM Toader
Control and cybernetics 34 (1), 59, 2005
Conception optimale de structures
G Allaire, M Schoenauer
Springer, 2007
Analyse numérique et optimisation: Une introductiona la modélisation mathématique eta la simulation numérique
G Allaire
Mathematiques appliquees. Ecole polytechnique, Palaiseau, 25, 2005
Optimal design for minimum weight and compliance in plane stress using extremal microstructures
G Allaire, RV Kohn
European journal of mechanics. A. Solids 12 (6), 839-878, 1993
Multiscale convergence and reiterated homogenisation
G Allaire, M Briane
Proceedings of the Royal Society of Edinburgh Section A: Mathematics 126 (2 …, 1996
Shape optimization by the homogenization method
G Allaire, E Bonnetier, G Francfort, F Jouve
Numerische Mathematik 76 (1), 27-68, 1997
Numerical analysis and optimization: an introduction to mathematical modelling and numerical simulation
G Allaire, G Allaire
Oxford university press, 2007
Homogenization of the Navier-Stokes equations in open sets perforated with tiny holes I. Abstract framework, a volume distribution of holes
G Allaire
Archive for Rational Mechanics and Analysis 113 (3), 209-259, 1991
Homogenization of the Stokes flow in a connected porous medium
G Allaire
Asymptotic Analysis 2 (3), 203-222, 1989
A multiscale finite element method for numerical homogenization
G Allaire, R Brizzi
Multiscale Modeling & Simulation 4 (3), 790-812, 2005
A level-set method for vibration and multiple loads structural optimization
G Allaire, F Jouve
Computer methods in applied mechanics and engineering 194 (30-33), 3269-3290, 2005
Numerical linear algebra
G Allaire, SM Kaber, K Trabelsi, G Allaire
Springer 55, --, 2008
Boundary layer tails in periodic homogenization
G Allaire, M Amar
ESAIM: Control, Optimisation and Calculus of Variations 4, 209-243, 1999
Topology optimization for minimum stress design with the homogenization method
G Allaire, F Jouve, H Maillot
Structural and Multidisciplinary Optimization 28 (2-3), 87-98, 2004
Minimum stress optimal design with the level set method
G Allaire, F Jouve
Engineering analysis with boundary elements 32 (11), 909-918, 2008
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