31 citations · 138 across the 19 of their papers we have counts for
19 papers
A Jin--Xin Relaxation Gradual Convergence Method for Conservation-Law PINNs
Emmanuel Lorin, Yuchong Tang, Xu Yang +1
The Jin--Xin relaxation of a nonlinear hyperbolic conservation law introduces a relaxation parameter that controls the width of the internal layer resolving a shock; the discontinu…
Deep Neural Networks for Creating Reliable PmP Database with a Case Study in Southern California
Wen Ding, Tianjue Li, Xu Yang +2
Recent progresses in artificial intelligence and machine learning make it possible to automatically identify seismic phases from exponentially growing seismic data. Despite some ex…
Schwarz Waveform Relaxation Physics-Informed Neural Networks for Solving Advection-Diffusion-Reaction Equations
Emmanuel Lorin, Xu Yang
This paper develops a physics-informed neural network (PINN) based on the Schwarz waveform relaxation (SWR) method for solving local and nonlocal advection-diffusion-reaction equat…
Seismic Tomography with Random Batch Gradient Reconstruction
Yixiao Hu, Lihui Chai, Zhongyi Huang +1
Seismic tomography solves high-dimensional optimization problems to image subsurface structures of Earth. In this paper, we propose to use random batch methods to construct the gra…
Deep unfitted Nitsche method for elliptic interface problems
Hailong Guo, Xu Yang
This paper proposes a deep unfitted Nitsche method for computing elliptic interface problems with high contrasts in high dimensions. To capture discontinuities of the solution caus…
Unfitted Nitsche's method for computing band structures in phononic crystals with impurities
Hailong Guo, Xu Yang, Yi Zhu
In this paper, we propose an unfitted Nitsche's method to compute the band structures of phononic crystal with impurities of general geometry. The proposed method does not require…