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math-ph2024
Neumann Series-based Neural Operator for Solving Inverse Medium Problem
Ziyang Liu, Fukai Chen, Junqing Chen +2
The inverse medium problem, inherently ill-posed and nonlinear, presents significant computational challenges. This study introduces a novel approach by integrating a Neumann serie…
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.…