@article{deepritzsplitneuraloperatorforphasefield,
  title = {DeepRitzSplit Neural Operator for Phase-Field Models via Energy Splitting},
  author = {Chih-Kang Huang and Ludovick Gagnon and Miha Založnik and Benoît Appolaire},
  year = {2026},
  eprint = {2604.18261},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2604.18261},
}