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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.…
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…