Reduced order modeling of parametrized systems through autoencoders and SINDy approach: continuation of periodic solutions

no code implementations • 13 Nov 2022 • Paolo Conti, Giorgio Gobat, Stefania Fresca, Andrea Manzoni, Attilio Frangi

Highly accurate simulations of complex phenomena governed by partial differential equations (PDEs) typically require intrusive methods and entail expensive computational costs, which might become prohibitive when approximating steady-state solutions of PDEs for multiple combinations of control parameters and initial conditions.

Virtual twins of nonlinear vibrating multiphysics microstructures: physics-based versus deep learning-based approaches

no code implementations • 12 May 2022 • Giorgio Gobat, Stefania Fresca, Andrea Manzoni, Attilio Frangi

Micro-Electro-Mechanical-Systems are complex structures, often involving nonlinearites of geometric and multiphysics nature, that are used as sensors and actuators in countless applications.