most citedPFNN-2: A Domain Decomposed Penalty-Free Neural Network Method for Solving Partial Differential Equations

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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

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…