3 citations · 5 across the 3 of their papers we have counts for
4 papers
PFNN-2: A Domain Decomposed Penalty-Free Neural Network Method for Solving Partial Differential Equations
Hailong Sheng, Chao Yang
A new penalty-free neural network method, PFNN-2, is presented for solving partial differential equations, which is a subsequent improvement of our previously proposed PFNN method…
Parallel multilevel restricted Schwarz preconditioners for implicit simulation of subsurface flows with Peng-Robinson equation of state
Rui Li, Haijian Yang, Chao Yang
Parallel algorithms and simulators with good scalabilities are particularly important for large-scale reservoir simulations on modern supercomputers with a large number of processo…
Parallel energy-stable solver for a coupled Allen-Cahn and Cahn-Hilliard system
Jizu Huang, Chao Yang, Ying Wei
In this paper, we study numerical methods for solving the coupled Allen-Cahn/Cahn-Hilliard system associated with a free energy functional of logarithmic type. To tackle the challe…
PFNN: A Penalty-Free Neural Network Method for Solving a Class of Second-Order Boundary-Value Problems on Complex Geometries
Hailong Sheng, Chao Yang
We present PFNN, a penalty-free neural network method, to efficiently solve a class of second-order boundary-value problems on complex geometries. To reduce the smoothness requirem…