Physics-informed convolutional neural networks are effective extensions of physics-informed neural networks for solving systems of partial differential equations modeling complex physical systems. Using automated machine learning, this study offers a framework to achieve optimal network architectures and loss functions that outperform manually designed state-of-the-art models, with a 59.8-fold reduction in prediction error across six systems including heat transfer, incompressible fluid flow, and porous media flow.
- Wanyun Zhou
- Haoze Song
- Xiaowen Chu