A High-Order Hybrid Approach Integrating Neural Networks and Fast Poisson Solvers for Elliptic Interface Problems

A new high-order hybrid method integrating neural networks and corrected finite differences is developed for solving elliptic equations with irregular interfaces and discontinuous solutions. Standard fourth-order finite difference discretization becomes invalid near such interfaces due to the discon...

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Bibliographic Details
Main Authors: Yiming Ren, Shan Zhao
Format: Article
Language:English
Published: MDPI AG 2025-03-01
Series:Computation
Subjects:
Online Access:https://www.mdpi.com/2079-3197/13/4/83
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