49 citations · 94 across the 23 of their papers we have counts for
25 papers
Cavity shape reconstruction with a homogeneous Robin condition via a constrained coupled complex boundary method with ADMM
Mustapha Essahraoui, El Mehdi Cherrat, Lekbir Afraites +1
We revisit the problem of identifying an unknown portion of a boundary subject to a Robin condition based on a pair of Cauchy data on the accessible part of the boundary. It is kno…
Statistical Topological Gradient and Shape Optimization for Robust Metal--Semiconductor Contact Reconstruction
Lekbir Afraites, Aissam Hadri, Mourad Hrizi +1
We develop a statistically robust framework for reconstructing metal--semiconductor contact regions using topological gradients. The inverse problem is formulated as the identifica…
Numerical methods for diffusion coefficient recovery
Sahat Pandapotan Nainggolan, Julius Fergy Tiongson Rabago, Hirofumi Notsu
We revisit the inverse problem of reconstructing a spatially varying diffusion coefficient in stationary elliptic equations from boundary Cauchy data. From a theoretical perspectiv…
Enhanced shape recovery in advection--diffusion problems via a novel ADMM-based CCBM optimization
Elmehdi Cherrat, Lekbir Afraites, Julius Fergy Tiongson Rabago
This work proposes a novel shape optimization framework for geometric inverse problems governed by the advection--diffusion equation, based on the coupled complex boundary method (…
Simultaneous recovery of a corroded boundary and admittance using the Kohn-Vogelius method
Moustapha Essahraoui, Elmehdi Cherrat, Lekbir Afraites +1
We address the problem of identifying an unknown portion of the boundary of a -dimensional () domain and its associated Robin admittance coefficient, usi…
Numerical solution by shape optimization method to an inverse shape problem in multi-dimensional advection-diffusion problem with space dependent coefficients
Elmehdi Cherrat, Lekbir Afraites, Julius Fergy Tiongson Rabago
This work focuses on numerically solving a shape identification problem related to advection-diffusion processes with space-dependent coefficients using shape optimization techniqu…