README.md

[hp-VPINNs: Variational Physics Informed Neural Networks With Domain Decomposition]

We introduce the variational physics informed neural networks – a general framework to solve differential equations.

For more information, please refer to the following:

• Kharazmi, Ehsan, Zhongqiang Zhang, and George E. Karniadakis. "hp-VPINNs: Variational Physics-Informed Neural Networks With Domain Decomposition." arXiv preprint arXiv:2003.05385 (2020).

• Kharazmi, Ehsan, Zhongqiang Zhang, and George E. Karniadakis. "Variational Physics-Informed Neural Networks For Solving Partial Differential Equations." arXiv preprint arXiv:1912.00873 (2019).

Citation

@article{kharazmi2020hp, title={hp-VPINNs: Variational Physics-Informed Neural Networks With Domain Decomposition}, author={Kharazmi, Ehsan and Zhang, Zhongqiang and Karniadakis, George Em}, journal={arXiv preprint arXiv:2003.05385}, year={2020} }

@article{kharazmi2019variational, title={Variational physics-informed neural networks for solving partial differential equations}, author={Kharazmi, Ehsan and Zhang, Zhongqiang and Karniadakis, George Em}, journal={arXiv preprint arXiv:1912.00873}, year={2019} }