Scientific machine learning through physics–informed neural networks: Where we are and what's next

S Cuomo, VS Di Cola, F Giampaolo, G Rozza… - Journal of Scientific …, 2022 - Springer
Abstract Physics-Informed Neural Networks (PINN) are neural networks (NNs) that encode
model equations, like Partial Differential Equations (PDE), as a component of the neural …

Physics-guided, physics-informed, and physics-encoded neural networks in scientific computing

SA Faroughi, N Pawar, C Fernandes, M Raissi… - ar**s between function spaces and offer a new
simulation paradigm for real-time prediction of complex dynamics for realistic diverse …

Model reduction and neural networks for parametric PDEs

K Bhattacharya, B Hosseini, NB Kovachki… - The SMAI journal of …, 2021 - numdam.org
We develop a general framework for data-driven approximation of input-output maps
between infinitedimensional spaces. The proposed approach is motivated by the recent …

Fourier-DeepONet: Fourier-enhanced deep operator networks for full waveform inversion with improved accuracy, generalizability, and robustness

M Zhu, S Feng, Y Lin, L Lu - Computer Methods in Applied Mechanics and …, 2023 - Elsevier
Full waveform inversion (FWI) infers the subsurface structure information from seismic
waveform data by solving a non-convex optimization problem. Data-driven FWI has been …