Eloi Martinet

activity

20222026

most citedMaximization of Neumann eigenvalues

4 citations · 5 across the 7 of their papers we have counts for

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2 papers · 1 filter

math.AP2025

Spherical caps do not always maximize Neumann eigenvalues on the sphere

Dorin Bucur, Richard S. Laugesen, Eloi Martinet +1

We prove the existence of an open set $Ω \subset S^{2}$ for which the first positive eigenvalue of the Laplacian with Neumann boundary condition exceeds that of the geodesic d…

math.NA2025

Meshless Shape Optimization using Neural Networks and Partial Differential Equations on Graphs

Eloi Martinet, Leon Bungert

Shape optimization involves the minimization of a cost function defined over a set of shapes, often governed by a partial differential equation (PDE). In the absence of closed-form…