52 citations · 74 across the 9 of their papers we have counts for
11 papers
A Fixed-Point Construction of the Elementary Transcendental Functions
François Alouges, Giovanni Di Fratta, Alberto Fiorenza +1
We present a unified fixed-point construction of the elementary transcendental functions, encompassing the real exponential, the complex exponential (sine and cosine), and the natu…
A limiting model for a low Reynolds number swimmer with N passive elastic arms
François Alouges, Aline Lefebvre-Lepot, Jessie Levillain
We consider a low Reynolds number artificial swimmer that consists of an active arm followed by passive springs separated by spheres. This setup generalizes an approach propose…
New preconditioners for Laplace and Helmholtz integral equations on open curves: Analytical framework and Numerical results
François Alouges, Martin Averseng
The Helmholtz wave scattering problem by screens in 2D can be recast into first-kind integral equations which lead to ill-conditioned linear systems after discretization. We introd…
Stochastic homogenization of the Landau-Lifshitz-Gilbert equation
François Alouges, Anne De Bouard, Benoît Merlet +1
Following the ideas of V. V. Zhikov and A. L. Pyatnitski, and more precisely the stochastic two-scale convergence, this paper establishes a homogenization theorem in a stochastic s…
FEM and BEM simulations with the Gypsilab framework
Francois Alouges, Matthieu Aussal
Gypsilab is a Matlab framework which aims at simplifying the development of numerical methods that apply to the resolution of problems in multiphysics, in particular, those involvi…
Energy-optimal strokes for multi-link microswimmers: Purcell's loops and Taylor's waves reconciled
François Alouges, Antonio DeSimone, Laetitia Giraldi +2
Micron-scale swimmers move in the realm of negligible inertia, dominated by viscous drag forces. In this paper, we formulate the leading-order dynamics of a slender multi-link (N-l…