Molecular and multiscale methods for the numerical simulation of materials. (Méthodes moléculaires et multi-échelles pour la simulation numérique des matériaux). - Frédéric Legoll (2004)

Long-time averaging for integrable Hamiltonian dynamics. - Eric Cancès; François Castella; Philippe Chartier; Erwan Faou; Claude Le Bris; Frédéric Legoll; Gabriel Turinici (Numerische Mathematik, 2005)

Finite-Temperature Coarse-Graining of One-Dimensional Models: Mathematical Analysis and Computational Approaches. - Xavier Blanc 002; Claude Le Bris; Frédéric Legoll; C. Patz (J. Nonlinear Sci., 2010)

Beyond multiscale and multiphysics: Multimaths for model coupling. - Xavier Blanc 002; Claude Le Bris; Frédéric Legoll; Tony Lelièvre (Networks Heterog. Media, 2010)

Rate of convergence of a two-scale expansion for some "weakly" stochastic homogenization problems. - Claude Le Bris; Frédéric Legoll; Florian Thomines (Asymptot. Anal., 2012)

A Micro-Macro Parareal Algorithm: Application to Singularly Perturbed Ordinary Differential Equations. - Frédéric Legoll; Tony Lelièvre; Giovanni Samaey (SIAM J. Sci. Comput., 2013)

An MsFEM Type Approach for Perforated Domains. - Claude Le Bris; Frédéric Legoll; Alexei Lozinski (Multiscale Model. Simul., 2014)

Multilevel Monte Carlo Approaches for Numerical Homogenization. - Yalchin Efendiev; Cornelia Kronsbein; Frédéric Legoll (Multiscale Model. Simul., 2015)

A Control Variate Approach Based on a Defect-Type Theory for Variance Reduction in Stochastic Homogenization. - Frédéric Legoll; William Minvielle (Multiscale Model. Simul., 2015)

An accurate scheme to solve cluster dynamics equations using a Fokker-Planck approach. - Thomas Jourdan; Gabriel Stoltz; Frédéric Legoll; Laurent Monasse (Comput. Phys. Commun., 2016)

Special quasirandom structures: A selection approach for stochastic homogenization. - Claude Le Bris; Frédéric Legoll; William Minvielle (Monte Carlo Methods Appl., 2016)

Examples of computational approaches for elliptic, possibly multiscale PDEs with random inputs. - Claude Le Bris; Frédéric Legoll (J. Comput. Phys., 2017)

Goal-oriented error estimation and adaptivity in MsFEM computations. - Ludovic Chamoin; Frédéric Legoll (CoRR, 2019)

Parareal computation of stochastic differential equations with time-scale separation: a numerical study. - Tony Lelièvre; Frédéric Legoll; Keith W. Myerscough; Giovanni Samaey (CoRR, 2019)

Multiscale Finite Element Methods for Advection-Dominated Problems in Perforated Domains. - Claude Le Bris; Frédéric Legoll; François Madiot (Multiscale Model. Simul., 2019)

An embedded corrector problem for homogenization. Part II: Algorithms and discretization. - Eric Cancès; Virginie Ehrlacher; Frédéric Legoll; Benjamin Stamm; Shuyang Xiang (J. Comput. Phys., 2020)

An Embedded Corrector Problem for Homogenization. Part I: Theory. - Eric Cancès; Virginie Ehrlacher; Frédéric Legoll; Benjamin Stamm; Shuyang Xiang (Multiscale Model. Simul., 2020)

A pedagogical review on a posteriori error estimation in Finite Element computations. - Ludovic Chamoin; Frédéric Legoll (CoRR, 2021)

Some Remarks on a Coupling Method for the Practical Computation of Homogenized Coefficients. - Olga Gorynina; Claude Le Bris; Frédéric Legoll (SIAM J. Sci. Comput., 2021)

Non-intrusive implementation of a wide variety of Multiscale Finite Element Methods. - Rutger A. Biezemans; Claude Le Bris; Frédéric Legoll; Alexei Lozinski (CoRR, 2022)

Combining machine-learned and empirical force fields with the parareal algorithm: application to the diffusion of atomistic defects. - Olga Gorynina; Frédéric Legoll; Tony Lelièvre; Danny Perez (CoRR, 2022)

An Adaptive Parareal Algorithm: Application to the Simulation of Molecular Dynamics Trajectories. - Frédéric Legoll; Tony Lelièvre; Upanshu Sharma (SIAM J. Sci. Comput., 2022)

An MsFEM Approach Enriched Using Legendre Polynomials. - Frédéric Legoll; Pierre-Loïk Rothé; Claude Le Bris; Ulrich Hetmaniuk (Multiscale Model. Simul., 2022)

Probabilistic formulation of Miner's rule and application to structural fatigue. - Francois-Baptiste Cartiaux; Alain Ehrlacher; Frédéric Legoll; Alex Libal; Julien Reygner (CoRR, 2023)

A variance reduction strategy for numerical random homogenization based on the equivalent inclusion method. - Sébastien Brisard; Michael Bertin; Frédéric Legoll (CoRR, 2023)

Embedded corrector problems for homogenization in linear elasticity. - Virginie Ehrlacher; Frédéric Legoll; Benjamin Stamm; Shuyang Xiang (CoRR, 2023)

Non-intrusive implementation of Multiscale Finite Element Methods: An illustrative example. - Rutger A. Biezemans; Claude Le Bris; Frédéric Legoll; Alexei Lozinski (J. Comput. Phys., 2023)

An Introductory Review on A Posteriori Error Estimation in Finite Element Computations. - Ludovic Chamoin; Frédéric Legoll (SIAM Rev., 2023)

Survival probability of structures under fatigue: a data-based approach. - Francois-Baptiste Cartiaux; Frédéric Legoll; Alex Libal; Julien Reygner (CoRR, 2024)

MsFEM for advection-dominated problems in heterogeneous media: Stabilization via nonconforming variants. - Rutger A. Biezemans; Claude Le Bris; Frédéric Legoll; Alexei Lozinski (CoRR, 2024)