no code implementations • 29 Apr 2024 • Ye Liu, Jie-Ying Li, Li-Sheng Zhang, Lei-Lei Guo, Zhi-Yong Zhang
Specifically, for the forward problem, we first deploy the symmetry group to generate the dividing-lines having known solution information which can be adjusted flexibly and are used to divide the whole training domain into a finite number of non-overlapping sub-domains, then utilize the PINN and the symmetry-enhanced PINN methods to learn the solutions in each sub-domain and finally stitch them to the overall solution of PDEs.
