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math.OC2026
A Numerical Investigation of the RayleighFaberKrahn Inequality for Polyhedral Domains
Josué D. Díaz-Avalos, Antoine Laurain
We present numerical results for the problem of minimizing the first Dirichlet eigenvalue of the Laplacian among three-dimensional convex polyhedra with a prescribed number of face…
math.OC2026
FormOpt: A FEniCSx toolbox for level set-based shape optimization supporting parallel computing
Josué D. Díaz-Avalos, Antoine Laurain
This article presents the toolbox FormOpt for two- and three-dimensional shape optimization with parallel computing capabilities, built on the FEniCSx software framework. We introd…