Frédéric Legoll

According to our database1, Frédéric Legoll authored at least 29 papers between 2004 and 2024.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.

Timeline

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PhD thesis 
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Bibliography

2024
Survival probability of structures under fatigue: a data-based approach.
CoRR, 2024

2023
An Introductory Review on A Posteriori Error Estimation in Finite Element Computations.
SIAM Rev., November, 2023

Non-intrusive implementation of Multiscale Finite Element Methods: An illustrative example.
J. Comput. Phys., March, 2023

Embedded corrector problems for homogenization in linear elasticity.
CoRR, 2023

A variance reduction strategy for numerical random homogenization based on the equivalent inclusion method.
CoRR, 2023

Probabilistic formulation of Miner's rule and application to structural fatigue.
CoRR, 2023

2022
An MsFEM Approach Enriched Using Legendre Polynomials.
Multiscale Model. Simul., March, 2022

An Adaptive Parareal Algorithm: Application to the Simulation of Molecular Dynamics Trajectories.
SIAM J. Sci. Comput., 2022

Combining machine-learned and empirical force fields with the parareal algorithm: application to the diffusion of atomistic defects.
CoRR, 2022

Non-intrusive implementation of a wide variety of Multiscale Finite Element Methods.
CoRR, 2022

2021
Some Remarks on a Coupling Method for the Practical Computation of Homogenized Coefficients.
SIAM J. Sci. Comput., 2021

A pedagogical review on a posteriori error estimation in Finite Element computations.
CoRR, 2021

2020
An Embedded Corrector Problem for Homogenization. Part I: Theory.
Multiscale Model. Simul., 2020

An embedded corrector problem for homogenization. Part II: Algorithms and discretization.
J. Comput. Phys., 2020

2019
Multiscale Finite Element Methods for Advection-Dominated Problems in Perforated Domains.
Multiscale Model. Simul., 2019

Parareal computation of stochastic differential equations with time-scale separation: a numerical study.
CoRR, 2019

Goal-oriented error estimation and adaptivity in MsFEM computations.
CoRR, 2019

2017
Examples of computational approaches for elliptic, possibly multiscale PDEs with random inputs.
J. Comput. Phys., 2017

2016
Special quasirandom structures: A selection approach for stochastic homogenization.
Monte Carlo Methods Appl., 2016

An accurate scheme to solve cluster dynamics equations using a Fokker-Planck approach.
Comput. Phys. Commun., 2016

2015
A Control Variate Approach Based on a Defect-Type Theory for Variance Reduction in Stochastic Homogenization.
Multiscale Model. Simul., 2015

Multilevel Monte Carlo Approaches for Numerical Homogenization.
Multiscale Model. Simul., 2015

2014
An MsFEM Type Approach for Perforated Domains.
Multiscale Model. Simul., 2014

2013
A Micro-Macro Parareal Algorithm: Application to Singularly Perturbed Ordinary Differential Equations.
SIAM J. Sci. Comput., 2013

2012
Rate of convergence of a two-scale expansion for some "weakly" stochastic homogenization problems.
Asymptot. Anal., 2012

2010
Beyond multiscale and multiphysics: Multimaths for model coupling.
Networks Heterog. Media, 2010

Finite-Temperature Coarse-Graining of One-Dimensional Models: Mathematical Analysis and Computational Approaches.
J. Nonlinear Sci., 2010

2005
Long-time averaging for integrable Hamiltonian dynamics.
Numerische Mathematik, 2005

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


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