119 citations · 130 across the 17 of their papers we have counts for
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An embedded corrector problem for homogenization. Part II: Algorithms and discretization
Eric Cancès, Virginie Ehrlacher, Frederic Legoll +2
This contribution is the numerically oriented companion article of the work [E. Cancès, V. Ehrlacher, F. Legoll, B. Stamm and S. Xiang, arxiv preprint 1807.05131]. We focus here on…
Effective dynamics for non-reversible stochastic differential equations: a quantitative study
Frédéric Legoll, Tony Lelièvre, Upanshu Sharma
Coarse-graining is central to reducing dimensionality in molecular dynamics, and is typically characterized by a mapping which projects the full state of the system to a smaller cl…
An embedded corrector problem for homogenization. Part I: Theory
Eric Cancès, Virginie Ehrlacher, Frederic Legoll +2
This article is the first part of a two-fold study, the objective of which is the theoretical analysis and numerical investigation of new approximate corrector problems in the cont…
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…