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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…