Spatio-spectral graph neural operator for solving computational mechanics problems on irregular domain and unstructured grid

S Sarkar, S Chakraborty - Computer Methods in Applied Mechanics and …, 2025 - Elsevier
Scientific machine learning has seen significant progress with the emergence of operator
learning. However, existing methods encounter difficulties when applied to problems on …

A general reduced-order neural operator for spatio-temporal predictive learning on complex spatial domains

Q Meng, Y Li, Z Deng, X Liu, G Chen, Q Wu… - arxiv preprint arxiv …, 2024 - arxiv.org
Predictive learning for spatio-temporal processes (PL-STP) on complex spatial domains
plays a critical role in various scientific and engineering fields, with its essence being the …

Enhancing multiscale simulations with constitutive relations‐aware deep operator networks

H Eivazi, M Alikhani, JA Tröger, S Wittek, S Hartmann… - PAMM, 2024 - Wiley Online Library
Multiscale problems are widely observed across diverse domains in physics and
engineering. Translating these problems into numerical simulations and solving them using …