Solving a Class of High-Order Elliptic PDEs Using Deep Neural Networks Based on Its Coupled Scheme
Deep learning—in particular, deep neural networks (DNNs)—as a mesh-free and self-adapting method has demonstrated its great potential in the field of scientific computation. In this work, inspired by the Deep Ritz method proposed by Weinan E et al. to solve a class of variational problems that gener...
Main Authors: | Xi’an Li, Jinran Wu, Lei Zhang, Xin Tai |
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Format: | Article |
Language: | English |
Published: |
MDPI AG
2022-11-01
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Series: | Mathematics |
Subjects: | |
Online Access: | https://www.mdpi.com/2227-7390/10/22/4186 |
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