4 citations · 7 across the 3 of their papers we have counts for
3 papers
math.NA2024
NSNO: Neumann Series Neural Operator for Solving Helmholtz Equations in Inhomogeneous Medium
Fukai Chen, Ziyang Liu, Guochang Lin +2
In this paper, we propose Neumann Series Neural Operator (NSNO) to learn the solution operator of Helmholtz equation from inhomogeneity coefficients and source terms to solutions.…
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…
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…