Elmehdi Cherrat

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3 papers · 1 filter

math.NA2026

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…

math.NA2025

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 (…

math.NA2025

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 $Γ$ of the boundary of a $d$ -dimensional ( $d \in {1, 2}$ ) domain $Ω$ and its associated Robin admittance coefficient, usi…