1.3k citations
- École nationale des ponts et chausséesFR82 papers
- Centre National de la Recherche ScientifiqueFR67 papers
- Pôle de recherche et d'enseignement supérieur Université Paris-EstFR33 papers
- CERMICSFR22 papers
- Institut national de recherche en sciences et technologies du numériqueFR20 papers
- Université Gustave EiffelFR16 papers
- Paris-Est SupFR12 papers
- Université Paris CitéFR12 papers
- Laboratoire de Mécanique et Génie CivilFR7 papers
- Université Paris-SaclayFR7 papers
- ESPCI ParisFR6 papers
- Institut des NanoSciences de ParisFR6 papers
5 papers · 1 filter
Embedded corrector problems for homogenization in linear elasticity
Virginie Ehrlacher, Frederic Legoll, Benjamin Stamm +1
In this article, we extend the study of embedded corrector problems, that we have previously introduced in the context of the homogenization of scalar diffusive equations, to the c…
Stochastic homogenization of a scalar viscoelastic model exhibiting stress-strain hysteresis
Thomas Hudson, Frédéric Legoll, Tony Lelièvre
Motivated by rate-independent stress-strain hysteresis observed in filled rubber, this article considers a scalar viscoelastic model in which the constitutive law is random and var…
On a variant of random homogenization theory: convergence of the residual process and approximation of the homogenized coefficients
Frederic Legoll, Florian Thomines
We consider the variant of stochastic homogenization theory introduced in [X. Blanc, C. Le Bris and P.-L. Lions, C. R. Acad. Sci. Serie I 2006 and Journal de Mathematiques Pures et…
Rate of convergence of a two-scale expansion for some "weakly" stochastic homogenization problems
C. Le Bris, F. Legoll, F. Thomines
We establish a rate of convergence of the two scale expansion (in the sense of homogenization theory) of the solution to a highly oscillatory elliptic partial differential equation…
Effective dynamics using conditional expectations
Frederic Legoll, Tony Lelievre
The question of coarse-graining is ubiquitous in molecular dynamics. In this article, we are interested in deriving effective properties for the dynamics of a coarse-grained variab…