Ilias Ftouhi

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math.OC2025

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.OC2025

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

Zakaria Fattah, Ilias Ftouhi, Enrique Zuazua

Given a convex set $Ω$ of $R^{n}$ , we consider the shape optimization problem of finding a convex subset $ω \subset Ω$ , of a given measure, minimizing the $p$ -distance functi…

Sensor placement via large deviations in the Eikonal equation

Optimal Lp-approximation of convex sets by convex subsets

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