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math.NA2026
Shape optimisation of nonlinear Naghdi shells on discrete geometries
Ado Farsi, Alberto Paganini
A thin shell carries load through its shape and, at finite deflections, its stiffness changes with the load itself, so a shape optimum found with a linear model can be far from opt…
math.NA2024
Level-set shape optimization via polytopic discontinuous Galerkin methods
Raphael S. Fernandes, Emmanuil H. Georgoulis, Alberto Paganini
We introduce a new level-set shape optimization approach based on polytopic (i.e., polygonal in two and polyhedral in three spatial dimensions) discontinuous Galerkin methods. The…