LordNet: An efficient neural network for learning to solve parametric partial differential equations without simulated data

Author:

Huang XinquanORCID,Shi WenleiORCID,Gao XiaotianORCID,Wei Xinran,Zhang Jia,Bian Jiang,Yang Mao,Liu Tie-Yan

Funder

King Abdullah University of Science and Technology

Publisher

Elsevier BV

Reference48 articles.

1. Layer normalization;Ba,2016

2. Learning data-driven discretizations for partial differential equations;Bar-Sinai;Proceedings of the National Academy of Sciences,2019

3. Numerically solving parametric families of high-dimensional Kolmogorov partial differential equations via deep learning;Berner,2020

4. Prediction of aerodynamic flow fields using convolutional neural networks;Bhatnagar;Computational Mechanics,2019

5. Clifford neural layers for PDE modeling;Brandstetter,2022

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