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Hierarchical Learning to Solve Partial Differential Equations Using
  Physics-Informed Neural Networks

Hierarchical Learning to Solve Partial Differential Equations Using Physics-Informed Neural Networks

2 December 2021
Jihun Han
Yoonsang Lee
    AI4CE
ArXivPDFHTML

Papers citing "Hierarchical Learning to Solve Partial Differential Equations Using Physics-Informed Neural Networks"

5 / 5 papers shown
Title
Dual Cone Gradient Descent for Training Physics-Informed Neural Networks
Dual Cone Gradient Descent for Training Physics-Informed Neural Networks
Youngsik Hwang
Dong-Young Lim
AI4CE
28
2
0
27 Sep 2024
Unsupervised Legendre-Galerkin Neural Network for Singularly Perturbed
  Partial Differential Equations
Unsupervised Legendre-Galerkin Neural Network for Singularly Perturbed Partial Differential Equations
Junho Choi
N. Kim
Youngjoon Hong
AI4CE
11
0
0
21 Jul 2022
A Neural Network Approach for Homogenization of Multiscale Problems
A Neural Network Approach for Homogenization of Multiscale Problems
Jihun Han
Yoonsang Lee
27
12
0
04 Jun 2022
On the eigenvector bias of Fourier feature networks: From regression to
  solving multi-scale PDEs with physics-informed neural networks
On the eigenvector bias of Fourier feature networks: From regression to solving multi-scale PDEs with physics-informed neural networks
Sifan Wang
Hanwen Wang
P. Perdikaris
126
435
0
18 Dec 2020
Multi-scale Deep Neural Network (MscaleDNN) for Solving
  Poisson-Boltzmann Equation in Complex Domains
Multi-scale Deep Neural Network (MscaleDNN) for Solving Poisson-Boltzmann Equation in Complex Domains
Ziqi Liu
Wei Cai
Zhi-Qin John Xu
AI4CE
109
122
0
22 Jul 2020
1