crossrefMachine Learning: Science and Technology2026-07-21
Neural spectral element methods for stiff multiphysics PDEs with electrochemical transport benchmarks
Conrard Giresse Tetsassi Feugmo, David Pankaczy
Abstract Physics-informed neural networks (PINNs) face an empirical accuracy floor of approximately O(10^-2) when applied to stiff multiphysics problems like electrochemical transport. This limitation stems from the "PINN trilemma": Monte Carlo collocation, serial automatic diffe…