3 papers
math.AP2023
Multi-frequency averaging and uniform accuracy towards numerical approximations for a Bloch model
Brigitte Bidégaray-Fesquet, Clément Jourdana, Léopold Trémant
We are interested in numerically solving a transitional model derived from the Bloch model. The Bloch equation describes the time evolution of the density matrix of a quantum syste…
math.NA2023
An interface formulation for the Poisson equation in the presence of a semiconducting single-layer material
Clément Jourdana, Paola Pietra
In this paper, we consider a semiconducting device with an active zone made of a single-layer material. The associated Poisson equation for the electrostatic potential (to be solve…
math.AP2022
Three-species drift-diffusion models for memristors
Clément Jourdana, Ansgar Jüngel, Nicola Zamponi
A system of drift-diffusion equations for the electron, hole, and oxygene vacancy densities in a semiconductor, coupled to the Poisson equation for the electric potential, is analy…