5 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…
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 (…
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…
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, u…
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…