This is the repository for the paper "Variational operator learning: A unified paradigm marrying training neural operators and solving partial differential equations" (accepted by Journal of the Mechanics and Physics of Solids). Please refer README.md for detailed instructions to reproduce our experiments. This work was supported by National Key Research and Development Program of China (2023YFB3306700 and 2021YFF0306404), and National Natural Science Foundation of China (U2341233 and U21A20429). If you have any technical problems to report or interesting ideas to share, feel free to drop a issue at this issue board. The first author of this work is now actively seeking full-time internship opportunities and a doctoral position in AI4science, and if you are interested in collaborating with him, kindly consider drop him an email. Note: all data and codes in this repository are distributed under CC BY-NC-SA 4.0, and related algorithms are patent-protected. If you want to use materials in this repository for commercial purposes, please contact haopeng@dlut.edu.cn.