3 papers
math.NA2026
Adjoint-Based Gradient Evaluation for Metasurface Inverse Design via Affine Geometric Transformations
Vincenzo Mottola, Luisa Faella, Carlo Forestiere +1
The sharp increasing in fabrication capabilities of nanomaterials, and complex structures such as meta-surfaces and metalens, has opened to the possibility of employing them for ac…
math.AP2025
A homogenization bending shell theory for multiscale materials from nonlinear elasticity
Tiziana Durante, Luisa Faella, Pedro Hernández-Llanos +1
We derive homogenized bending shell theories starting from three dimensional nonlinear elasticity. The original three dimensional model contains three small parameters: the two hom…
math.AP2025
The inverse obstacle problem for nonlinear inclusions
Vincenzo Mottola, Antonio Corbo Esposito, Luisa Faella +3
The Monotonocity Principle (MP), stating a monotonic relationship between a material property and a proper corresponding boundary operator, is attracting great interest in the fiel…