3 papers
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…
cs.CE2026
Missing Physics Discovery through Fully Differentiable Finite Element-Based Machine Learning
Ado Farsi, Nacime Bouziani, David A Ham
Modelling physical systems with partial differential equations (PDEs) is central to science and engineering, yet in most real applications the PDE model is incomplete: relationship…
cs.LG2024
Differentiable programming across the PDE and Machine Learning barrier
Nacime Bouziani, David A. Ham, Ado Farsi
The combination of machine learning and physical laws has shown immense potential for solving scientific problems driven by partial differential equations (PDEs) with the promise o…