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math.NA2025
Discrete stability estimates for the pressureless Euler-Poisson-Boltzmann equations in the Quasi-Neutral limit
Mehdi Badsi, Nicolas Crouseilles
We propose and study a fully implicit finite volume scheme for the pressureless Euler-Poisson-Boltzmann equations on the one dimensional torus. Especially, we design a consistent a…
math.NA2018
Numerical stability of plasma sheath
Mehdi Badsi, Michel Mehrenberger, Laurent Navoret
We are interested in developing a numerical method for capturing stationary sheaths, that a plasma forms in contact with a metallic wall. This work is based on a bi-species (ion/el…