100 citations · 164 across the 3 of their papers we have counts for
3 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…
physics.flu-dyn2017★ 53 cited
An Adaptive Characteristic-wise Reconstruction WENOZ scheme for Gas Dynamic Euler Equations
Jun Peng, Chuanlei Zhai, Guoxi Ni +2
Due to its excellent shock-capturing capability and high resolution, the WENO scheme family has been widely used in varieties of compressive flow simulation. However, for problems…