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math.NA2019
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…
math.AP2019
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…