2 papers
cs.LG2025
Invariant deep neural networks under the finite group for solving partial differential equations
Zhi-Yong Zhang, Jie-Ying Li, Lei-Lei Guo
Utilizing physics-informed neural networks (PINN) to solve partial differential equations (PDEs) becomes a hot issue and also shows its great powers, but still suffers from the dil…
cs.LG2024
Symmetry group based domain decomposition to enhance physics-informed neural networks for solving partial differential equations
Ye Liu, Jie-Ying Li, Li-Sheng Zhang +2
Domain decomposition provides an effective way to tackle the dilemma of physics-informed neural networks (PINN) which struggle to accurately and efficiently solve partial different…