The successive node snapping scheme for an evolving branched curve in 2D and 3D. - Yang Wan; Tianju Xue; Yongxing Shen (Comput. Aided Des., 2019)

Amortized Finite Element Analysis for Fast PDE-Constrained Optimization. - Tianju Xue; Alex Beatson; Sigrid Adriaenssens; Ryan P. Adams (ICML, 2020)

Learning Composable Energy Surrogates for PDE Order Reduction. - Alex Beatson; Jordan T. Ash; Geoffrey Roeder; Tianju Xue; Ryan P. Adams (NeurIPS, 2020)

Amortized Synthesis of Constrained Configurations Using a Differentiable Surrogate. - Xingyuan Sun; Tianju Xue; Szymon Rusinkiewicz; Ryan P. Adams (NeurIPS, 2021)

A new finite element level set reinitialization method based on the shifted boundary method. - Tianju Xue; WaiChing Sun; Sigrid Adriaenssens; Yujie Wei; Chuanqi Liu (J. Comput. Phys., 2021)

Learning the nonlinear dynamics of soft mechanical metamaterials with graph networks. - Tianju Xue; Sigrid Adriaenssens; Sheng Mao (CoRR, 2022)

Hybrid full-field thermal characterization of additive manufacturing processes using physics-informed neural networks with data. - Shuheng Liao; Tianju Xue; Jihoon Jeong; Samantha Webster; Kornel F. Ehmann; Jian Cao (CoRR, 2022)

More Stiffness with Less Fiber: End-to-End Fiber Path Optimization for 3D-Printed Composites. - Xingyuan Sun; Geoffrey Roeder; Tianju Xue; Ryan P. Adams; Szymon Rusinkiewicz (SCF, 2023)

JAX-FEM: A differentiable GPU-accelerated 3D finite element solver for automatic inverse design and mechanistic data science. - Tianju Xue; Shuheng Liao; Zhengtao Gan; Chanwook Park; Xiaoyu Xie; Wing Kam Liu; Jian Cao (Comput. Phys. Commun., 2023)

DiffLiB: High-fidelity differentiable modeling of lithium-ion batteries and efficient gradient-based parameter identification. - Weipeng Xu; Kaiqi Yang; Yuzhi Zhang; Shichao Sun; Sheng Mao; Tianju Xue (CoRR, 2025)

Implicit differentiation with second-order derivatives and benchmarks in finite-element-based differentiable physics. - Tianju Xue (CoRR, 2025)