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...

Full description

Bibliographic Details
Main Authors: Xi’an Li, Jinran Wu, Lei Zhang, Xin Tai
Format: Article
Language:English
Published: MDPI AG 2022-11-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/10/22/4186