3 papers
math.OC2025
Support identification for parameter variations in a PDE system via regularized methods
Houcine Meftahi, Chayma Nssibi
We study the inverse problem of recovering the spatial support of parameter variations in a system of partial differential equations (PDEs) from boundary measurements. A reconstruc…
math.OC2025
Stability analysis of an inverse coefficients problem in a system of partial differential equations
Houcine Meftahi, Chayma Nssibi
In this study, we address the inverse problem of recovering the Lamé parameters () and the density of a medium from the Neumann-to-Dirichlet map for any dimension $d\…
math.NA2025
A monotonicity-based globalization of the level-set method for inclusion detection
Bastian Harrach, Houcine Meftahi
We focus on a geometrical inverse problem that involves recovering discontinuities in electrical conductivity based on boundary measurements. This problem serves as a model to intr…