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PPINN: Parareal Physics-Informed Neural Network for time-dependent PDEs
PPINN: Parareal Physics-Informed Neural Network for time-dependent PDEs
Xuhui Meng,Zhen Li,Dongkun Zhang,G. Karniadakis
2019 · DOI: 10.1016/j.cma.2020.113250
Computer Methods in Applied Mechanics and Engineering · 512 citations
TLDR
Compared to the original PINN approach, the proposed PPINN approach may achieve a significant speedup for long-time integration of PDEs, assuming that the CG solver is fast and can provide reasonable predictions of the solution, hence aiding the PPInN solution to converge in just a few iterations.