Randomized radial basis function neural network for solving multiscale elliptic equations

Randomized radial basis function neural network for solving multiscale elliptic equations

Ordinary deep neural network (DNN)-based methods frequently encounter difficulties when tackling multiscale and high-frequency partial differential equations. To overcome these obstacles and improve computational accuracy and efficiency, this paper presents the Randomized Radial Basis Function Neura...

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Bibliographic Details
Main Authors: Yuhang Wu, Ziyuan Liu, Wenjun Sun, Xu Qian
Format: Article
Language:English
Published: IOP Publishing 2025-01-01
Series:Machine Learning: Science and Technology
Subjects:
multiscale elliptic equations
randomized radial basis function neural network
domain decomposition
weak formulation
least squares method
Online Access:https://doi.org/10.1088/2632-2153/ad979c

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