Surrogate-Based Physics-Informed Neural Networks for Elliptic Partial Differential Equations

The purpose of this study is to investigate the role that a deep learning approach could play in computational mechanics. In this paper, a convolutional neural network technique based on modified loss function is proposed as a surrogate of the finite element method (FEM). Several surrogate-based phy...

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Bibliographic Details
Main Authors: Peng Zhi, Yuching Wu, Cheng Qi, Tao Zhu, Xiao Wu, Hongyu Wu
Format: Article
Language:English
Published: MDPI AG 2023-06-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/11/12/2723