cuboid geometry 1eigenvalue optimization 1maxwell eigenvalues 1shape optimization 1spectral geometry 1
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math.SP2026
On a shape optimisation problem for Maxwell's eigenvalues on cuboids
Pier Domenico Lamberti, Luigi Provenzano, Rebecca Sempio
The paper studies how to shape a rectangular box (cuboid) to minimize certain combinations of the first three Maxwell eigenvalues under fixed volume and perimeter, showing that the…
math.SP2025
Shape Derivatives of the Eigenvalues of the De Rham Complex for Lipschitz Deformations and Variable Coefficients: Part II
Pier Domenico Lamberti, Dirk Pauly, Michele Zaccaron
In this second part of our series of papers, we develop an abstract framework suitable for de Rham complexes that depend on a parameter belonging to an arbitrary Banach space. Our…