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Enforcing continuous symmetries in physics-informed neural network for
  solving forward and inverse problems of partial differential equations

Enforcing continuous symmetries in physics-informed neural network for solving forward and inverse problems of partial differential equations

19 June 2022
Zhi‐Yong Zhang
Hui Zhang
Li-sheng Zhang
Lei‐Lei Guo
    PINN
    AI4CE
ArXivPDFHTML

Papers citing "Enforcing continuous symmetries in physics-informed neural network for solving forward and inverse problems of partial differential equations"

4 / 4 papers shown
Title
Lie Algebra Canonicalization: Equivariant Neural Operators under arbitrary Lie Groups
Lie Algebra Canonicalization: Equivariant Neural Operators under arbitrary Lie Groups
Zakhar Shumaylov
Peter Zaika
James Rowbottom
Ferdia Sherry
Melanie Weber
Carola-Bibiane Schönlieb
41
1
0
03 Oct 2024
Physics-informed neural networks with hard constraints for inverse
  design
Physics-informed neural networks with hard constraints for inverse design
Lu Lu
R. Pestourie
Wenjie Yao
Zhicheng Wang
F. Verdugo
Steven G. Johnson
PINN
50
494
0
09 Feb 2021
B-PINNs: Bayesian Physics-Informed Neural Networks for Forward and
  Inverse PDE Problems with Noisy Data
B-PINNs: Bayesian Physics-Informed Neural Networks for Forward and Inverse PDE Problems with Noisy Data
Liu Yang
Xuhui Meng
George Karniadakis
PINN
183
760
0
13 Mar 2020
hp-VPINNs: Variational Physics-Informed Neural Networks With Domain
  Decomposition
hp-VPINNs: Variational Physics-Informed Neural Networks With Domain Decomposition
E. Kharazmi
Zhongqiang Zhang
George Karniadakis
128
509
0
11 Mar 2020
1