Publications (6)
Some improvements of the ART method for finding transition pathways on potential energy surfaces
E. Cancès, F. Legoll, M. -C. Marinica +2
The Activation-Relaxation Technique nouveau (ARTn) is an eigenvector following method for systematic search of saddle points and transition pathways on a given potential energy sur…
Asymptotic behaviour of Green functions of divergence form operators with periodic coefficients
A. Anantharaman, X. Blanc, F. Legoll
This article is concerned with the asymptotic behaviour, at infinity and at the origin, of Green functions of operators of the form where is a…
Symmetric parareal algorithms for Hamiltonian systems
X. Dai, C. Le Bris, F. Legoll +1
The parareal in time algorithm allows to efficiently use parallel computing for the simulation of time-dependent problems. It is based on a decomposition of the time interval into…
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…
A parameter identification problem in stochastic homogenization
F. Legoll, W. Minvielle, A. Obliger +1
In porous media physics, calibrating model parameters through experiments is a challenge. This process is plagued with errors that come from modelling, measurement and computation…
Multiscale Finite Element approach for "weakly" random problems and related issues
C. Le Bris, F. Legoll, F. Thomines
We address multiscale elliptic problems with random coefficients that are a perturbation of multiscale deterministic problems. Our approach consists in taking benefit of the pertur…