148 citations · 151 across the 2 of their papers we have counts for
2 papers
math.NA2022★ 3 cited
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…
math.NA2020★ 148 cited
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…