Ilias Ftouhi

collaborators

3 papers

math.OC2026

Sensor placement via large deviations in the Eikonal equation

Ilias Ftouhi, Enrique Zuazua

In this work, we address the problem of optimally placing a finite number of sensors within a given region so as to minimize the mean or maximal distance to the points of the domai…

math.AP2025

Geometric properties of optimizers for the maximum gradient of the torsion function

Krzysztof Burdzy, Ilias Ftouhi, Phanuel Mariano

Consider $J (I^c ◯) := ∥\nabla u_{I^} c ◯ ∥_{\infty} / ∣ I^c ◯ ∣$ and $J_{P} (I^c ◯) := ∥\nabla u_{I^} c ◯ ∥_{\infty} / P (I^c ◯)$ , where $I^c ◯$ is a planar convex domain, $u_{I^} c ◯$ is the torsion function, $P (I^c ◯)$ …

math.OC2025

Optimal $L^{p}$ -approximation of convex sets by convex subsets

Zakaria Fattah, Ilias Ftouhi, Enrique Zuazua

Given a convex set $I^c ◯$ of $R^{n}$ , we consider the shape optimization problem of finding a convex subset $I ¨ \subset I^c ◯$ , of a given measure, minimizing the $p$ -distance fun…

Sensor placement via large deviations in the Eikonal equation

Geometric properties of optimizers for the maximum gradient of the torsion function

Optimal Lp-approximation of convex sets by convex subsets

Optimal $L^{p}$ -approximation of convex sets by convex subsets