131 citations · 359 across the 20 of their papers we have counts for
22 papers
The global existence issue for the compressible Euler system with Poisson or Helmholtz couplings
Šárka Nečasová, Xavier Blanc, Raphaël Danchin +2
We consider the Cauchy problem for the barotropic Euler system coupled to Helmholtz or Poisson equations, in the whole space. We assume that the initial density is small enough, an…
Homogenization of the Poisson equation in a non-periodically perforated domain
Xavier Blanc, S Wolf
We study the Poisson equation in a perforated domain with homogeneous Dirichlet boundary conditions. The size of the perforations is denoted by > 0, and is proportional to the…
Precised approximations in elliptic homogenization beyond the periodic setting
Xavier Blanc, Marc Josien, Claude Le Bris
We consider homogenization problems for linear elliptic equations in divergence form. The coecients are assumed to be a local perturbation of some periodic background. We prove $W^…
On correctors for linear elliptic homogenization in the presence of local defects: the case of advection-diffusion
Xavier Blanc, C. Le Bris, P. -L Lions
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 fir…
Variance reduction method for particle transport equation in spherical geometry
X Blanc, C Bordin, G Kluth +1
This article is devoted to the design of importance sampling method for the Monte Carlo simulation of a linear transport equation. This model is of great importance in the simulati…
Variational projector augmented-wave method: theoretical analysis and preliminary numerical results
Xavier Blanc, Eric Cancès, Mi-Song Dupuy
In Kohn-Sham electronic structure computations, wave functions have singularities at nuclear positions. Because of these singularities, plane-wave expansions give a poor approximat…