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We consider the corrector equation associated, in homogenization theory , to a linear second-order elliptic equation in divergence form --$\partial$i(aij$\partial$ju) = f , when the diffusion coefficient is a locally perturbed periodic coefficient. T
Externí odkaz:
http://arxiv.org/abs/1801.10335
We follow-up on our works devoted to homogenization theory for linear second-order elliptic equations with coefficients that are perturbations of periodic coefficients. We have first considered equations in divergence form in [6, 7, 8]. We have next
Externí odkaz:
http://arxiv.org/abs/1801.10330
Publikováno v:
In Neuromuscular Disorders December 2022 32(11-12):923-930
We address multiscale elliptic problems with random coefficients that are a perturbation of multiscale deterministic problems. Our approach consists in taking benefit of the perturbative context to suitably modify the classical Finite Element basis i
Externí odkaz:
http://arxiv.org/abs/1111.1524
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 with random coefficients that are a perturbation of periodic coeffici
Externí odkaz:
http://arxiv.org/abs/1110.5206
The purpose of this article is to lay the mathematical foundations of a well known numerical approach in computational statistical physics and molecular dynamics, namely the parallel replica dynamics introduced by A.F. Voter. The aim of the approach
Externí odkaz:
http://arxiv.org/abs/1105.4636
Autor:
Bris, C. Le, Lelièvre, T.
This paper is an introduction to the modelling of viscoelastic fluids, with an emphasis on micro-macro (or multiscale) models. Some elements of mathematical and numerical analysis are provided. These notes closely follow the lectures delivered by the
Externí odkaz:
http://arxiv.org/abs/1102.0325
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 subintervals, and on a predictor-corrector strategy, where the propaga
Externí odkaz:
http://arxiv.org/abs/1011.6222
We investigate mathematically a nonlinear approximation type approach recently introduced in [A. Ammar et al., J. Non-Newtonian Fluid Mech., 2006] to solve high dimensional partial differential equations. We show the link between the approach and the
Externí odkaz:
http://arxiv.org/abs/0811.0474