@article{hidennpgdreducedorderhierarchicaldeep, title = {HiDeNN-PGD: reduced-order hierarchical deep learning neural networks}, author = {Lei Zhang and Ye Lu and Shaoqiang Tang and Wing Kam Liu}, year = {2021}, eprint = {2105.06363}, archivePrefix = {arXiv}, url = {https://arxiv.org/abs/2105.06363v1}, }