119 citations · 122 across the 6 of their papers we have counts for
10 papers
A pedagogical review on a posteriori error estimation in Finite Element computations
Ludovic Chamoin, Frederic Legoll
This article is a review on basic concepts and tools devoted to a posteriori error estimation for problems solved with the Finite Element Method. For the sake of simplicity and cla…
An MsFEM approach enriched using Legendre polynomials
Frederic Legoll, Pierre-Loik Rothe, Claude Le Bris +1
We consider a variant of the conventional MsFEM approach with enrichments based on Legendre polynomials, both in the bulk of mesh elements and on their interfaces. A convergence an…
Mathematical analysis of a coupling method for the practical computation of homogenized coefficients
Olga Gorynina, Claude Le Bris, Frederic Legoll
We present the mathematical study of a computational approach originally introduced by R. Cottereau in [R. Cottereau, IJNME 2013]. The approach aims at evaluating the effective (a.…
Some remarks on a coupling method for the practical computation of homogenized coefficients
Olga Gorynina, Claude Le Bris, Frédéric Legoll
We numerically investigate, and improve upon, a computational approach originally introduced in [Cottereau, IJNME 2013] which aims at evaluating the effective coefficient of a medi…
Parareal computation of stochastic differential equations with time-scale separation: a numerical study
Tony Lelièvre, Frédéric Legoll, Keith Myerscough +1
The parareal algorithm is known to allow for a significant reduction in wall clock time for accurate numerical solutions by parallelising across the time dimension. We present and…
Goal-oriented error estimation and adaptivity in MsFEM computations
Ludovic Chamoin, Frederic Legoll
We introduce a goal-oriented strategy for multiscale computations performed using the Multiscale Finite Element Method (MsFEM). In a previous work, we have shown how to use, in the…