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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.NA2026
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…