@article{ltpinnlagrangiantopologyconsciousphysics,
  title = {LT-PINN: Lagrangian Topology-conscious Physics-informed Neural Network for Boundary-focused Engineering Optimization},
  author = {Yuanye Zhou and Zhaokun Wang and Kai Zhou and Hui Tang and Xiaofan Li},
  year = {2025},
  eprint = {2506.06300},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2506.06300v3},
}