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math.NA2026
The Zipped Finite Element Method on polyhedral meshes
Stefano Berrone, Gioana Teora
We extend the high-order Zipped Finite Element Method to three-dimensional polyhedral elements. The construction relies on a local sub-tetrahedralization obtained by triangulating…
math.NA2026
Hydro-mechanical Model for Slope Stability Assessment: A polygonal stabilization-free discretization
Stefano Berrone, Francesca Marcon, Gioana Teora
Rainfall-induced landslides are governed by the interaction between subsurface water flow and soil mechanics, requiring robust numerical methods for the simulation of variably satu…
math.NA2026
Two continuous extensions of the Neural Approximated Virtual Element Method
Stefano Berrone, Moreno Pintore, Gioana Teora
We propose two globally continuous neural-based variants of the Neural Approximated Virtual Element Method (NAVEM), termed B-NAVEM and P-NAVEM. Both approaches construct local basi…