Preprints

  • Bangti Jin, Jing Li, Yifeng Xu, and Shengfeng Zhu, On the Crouzeix-Raviart Finite Element Approximation of Phase-Field Dependent Topology Optimization in Stokes Flow, arXiv:2505.04120, submitted.

  • Jiajie Li, Hui Yang, Jiayi Ye, and Shengfeng Zhu, Shape and topology optimization for solving a random Bernoulli free boundary problem based on the Multimodes Monte Carlo method, submitted.

  • Yixin Tan, Fang Feng, and Shengfeng Zhu, Shape and topology optimization with phase field methods for structural hemivariational inequalities, submitted.

  • Jiajie Li, Shengfeng Zhu, Energy stable gradient flow schemes for shape and topology optimization in Navier-Stokes flows, arXiv:2405.05098, submitted.

  • Xindi Hu, Jiaming Weng, Shengfeng Zhu, Adversarial neural network methods for topology optimization of eigenvalue problems, arXiv:2405.06248 2024, submitted.

Publications