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cs.LG2026
Discrete Solution Operator Learning for Geometry-Dependent PDEs
Jinshuai Bai, Haolin Li, Zahra Sharif Khodaei +3
Neural operator learning accelerates PDE solution by approximating operators as mappings between continuous function spaces. Yet in many engineering settings, varying geometry indu…
cs.LG2023★ 92 cited
Physics-informed radial basis network (PIRBN): A local approximating neural network for solving nonlinear PDEs
Jinshuai Bai, Gui-Rong Liu, Ashish Gupta +3
Our recent intensive study has found that physics-informed neural networks (PINN) tend to be local approximators after training. This observation leads to this novel physics-inform…