crossrefMachine Learning: Science and Technology2026-07-08
Operator-aware physics-informed neural networks for forward and inverse problems in solid mechanics
Amir Ghorbani Ghezeljehmeidan, Willem Dirk van Driel, Justin Dauwels
Abstract Physics-informed neural networks (PINNs) on complex domains are limited by input representations that encode geometry but do not reflect the physics of the governing PDE. We propose an operator-aware PINN for solid mechanics problems that embeds precomputed eigenmodes of…