3 papers
math.NA2025
Computation of whispering gallery modes for spherical symmetric, heterogeneous Helmholtz problems with piecewise smooth refractive index
Bouchra Bensiali, Stefan Sauter
In this paper, we develop a numerical method for the computation of (quasi-)resonances in spherical symmetric, heterogeneous Helmholtz problems with piecewise smooth refractive ind…
math.AP2024
-dimensional extension of a penalization method for Neumann or Robin boundary conditions: a boundary layer approach and numerical experiments
Bouchra Bensiali, Jacques Liandrat
This paper studies the -dimensional extension of a fictitious domain penalization technique that we previously proposed for Neumann or Robin boundary conditions. We apply Dronio…
math-ph2023
On Density Functional Theory models for one-dimensional homogeneous materials
Bouchra Bensiali, Salma Lahbabi, Abdallah Maichine +1
This paper studies DFT models for homogeneous 1D materials in the 3D space. It follows our previous work about DFT models for homogeneous 2D materials in 3D. We show how to reduce…