100 citations · 111 across the 2 of their papers we have counts for
2 papers
physics.flu-dyn2022★ 100 cited
Discontinuity Computing using Physics-Informed Neural Network
Li Liu, Shengping Liu, Hui Xie +5
Simulating discontinuities is a long standing problem especially for shock waves with strong nonlinear feather. Despite being a promising method, the recently developed physics-inf…
math.NA2022★ 11 cited
A weighted first-order formulation for solving anisotropic diffusion equations with deep neural networks
Hui Xie, Chuanlei Zhai, Li Liu +1
In this paper, a new weighted first-order formulation is proposed for solving the anisotropic diffusion equations with deep neural networks. For many numerical schemes, the accurat…