8 citations · 15 across the 3 of their papers we have counts for
3 papers
cs.LG2022★ 4 cited
BI-GreenNet: Learning Green's functions by boundary integral network
Guochang Lin, Fukai Chen, Pipi Hu +4
Green's function plays a significant role in both theoretical analysis and numerical computing of partial differential equations (PDEs). However, in most cases, Green's function is…
cs.LG2022★ 8 cited
M2N: Mesh Movement Networks for PDE Solvers
Wenbin Song, Mingrui Zhang, Joseph G. Wallwork +8
Mainstream numerical Partial Differential Equation (PDE) solvers require discretizing the physical domain using a mesh. Mesh movement methods aim to improve the accuracy of the num…
math.NA2021★ 3 cited
BINet: Learning to Solve Partial Differential Equations with Boundary Integral Networks
Guochang Lin, Pipi Hu, Fukai Chen +4
We propose a method combining boundary integral equations and neural networks (BINet) to solve partial differential equations (PDEs) in both bounded and unbounded domains. Unlike e…