Lowest-degree polynomial de Rham complex on general quadrilateral grids. - Qimeng Quan; Xia Ji 001; Shuo Zhang 004 (CoRR, 2020)

Analysis of Deep Ritz Methods for Laplace Equations with Dirichlet Boundary Conditions. - Chenguang Duan; Yuling Jiao; Yanming Lai; Xiliang Lu; Qimeng Quan; Jerry Zhijian Yang (CoRR, 2021)

Convergence Rate Analysis of Galerkin Approximation of Inverse Potential Problem. - Bangti Jin; Xiliang Lu; Qimeng Quan; Zhi Zhou 002 (CoRR, 2022)

Hybrid Neural-Network FEM Approximation of Diffusion Coefficient in Elliptic and Parabolic Problems. - Siyu Cen; Bangti Jin; Qimeng Quan; Zhi Zhou 002 (CoRR, 2023)

Numerical Recovery of the Diffusion Coefficient in Diffusion Equations from Terminal Measurement. - Bangti Jin; Xiliang Lu; Qimeng Quan; Zhi Zhou 002 (CoRR, 2024)

Conductivity Imaging from Internal Measurements with Mixed Least-Squares Deep Neural Networks. - Bangti Jin; Xiyao Li; Qimeng Quan; Zhi Zhou 002 (SIAM J. Imaging Sci., 2024)

Stochastic Convergence Analysis of the Inverse Potential Problem. - Bangti Jin; Qimeng Quan; Wenlong Zhang (SIAM/ASA J. Uncertain. Quantification, 2025)

Regularity Analysis and High-Order Time Stepping Scheme for Quasilinear Subdiffusion. - Bangti Jin; Qimeng Quan; Barbara I. Wohlmuth; Zhi Zhou 002 (SIAM J. Numer. Anal., 2025)

Numerical Analysis of Unsupervised Learning Approaches for Parameter Identification in PDEs. - Siyu Cen; Bangti Jin; Qimeng Quan; Zhi Zhou 002 (CoRR, 2025)

Conditional Stability and Numerical Reconstruction of a Parabolic Inverse Source Problem Using Carleman Estimates. - Tianhao Hu; Xinchi Huang; Bangti Jin; Qimeng Quan; Zhi Zhou 002 (CoRR, 2025)