activity
20242026
most citedDetecting immersed obstacle in Stokes fluid flow using the coupled complex boundary method

1 citations · 1 across the 7 of their papers we have counts for

collaborators
Showing math.NAShow all

5 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.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…

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 of the boundary of a -dimensional () domain and its associated Robin admittance coefficient, usi…

math.NA2024

Boundary shape reconstruction with Robin condition: existence result, stability analysis, and inversion via multiple measurements

Lekbir Afraites, Julius Fergy Tiongson Rabago

This study revisits the problem of identifying the unknown interior Robin boundary of a connected domain using Cauchy data from the exterior region of a harmonic function. It inves…