9 citations · 14 across the 10 of their papers we have counts for
11 papers
Uniform estimates for a family of Poisson problems: `rounding off the corners'
Benoît Daniel, Simon Labrunie, Victor Nistor
We prove \emph{uniform solvability estimates} for certain families of elliptic problems posed in a bounded family of domains (for example, a sequence that converges to another doma…
Polynomial bounds for the solutions of parametric transmission problems on smooth, bounded domains
Simon Labrunie, Hassan Mohsen, Victor Nistor
We consider a \emph{family} of elliptic second order differential operators on a domain whose coefficients depend on the space variable…
Linearised electrodynamics and stabilisation of a cold magnetised plasma
Simon Labrunie, Ibtissem Zaafrani
We consider a linearized Euler--Maxwell model for the propagation and absorption of electromagnetic waves in a magnetized plasma. We present the derivation of the model, and we sho…
Electromagnetic wave propagation and absorption in magnetised plasmas: variational formulations and domain decomposition
Aurore Back, Takashi Hattori, Simon Labrunie +2
We consider a model for the propagation and absorption of electromagnetic waves (in the time-harmonic regime) in a magnetised plasma. We present a rigorous derivation of the model…
The Dirichlet problem for in an infinite sector. Application to plasma equilibria
Olivier Goubet, Simon Labrunie
We consider here a nonlinear elliptic equation in an unbounded sectorial domain of the plane. We prove the existence of a minimal solution to this equation and study its properties…
WENO schemes applied to the quasi-relativistic Vlasov--Maxwell model for laser-plasma interaction
Francesco Vecil, Pep Mulet, Simon Labrunie
In this paper we focus on WENO-based methods for the simulation of the 1D Quasi-Relativistic Vlasov--Maxwell (QRVM) model used to describe how a laser wave interacts with and heats…