activity
20242026
most citedLearn Singularly Perturbed Solutions via Homotopy Dynamics

1 citations · 2 across the 6 of their papers we have counts for

collaborators

6 papers

cs.CE2026

OmniRemesh: Adaptive and Quasi-differentiable Remeshing for Crystal Plasticity Simulation and Inverse Parameter Calibration under Large Deformation

Ningyu Yan, Yuntong Huang, Yang Xiang

Large-deformation crystal plasticity finite element method (CPFEM) simulations are often limited by accumulated mesh distortion, which degrades accuracy and numerical stability, wh…

math.NA2025

Prescribed-Basis Coefficient-to-Coefficient Neural Operator for Partial Differential Equations

Chuqi Chen, Yang Xiang, Weihong Zhang

Operator learning provides a data-driven approach to approximating solution operators of partial differential equations, but its effectiveness depends strongly on how input and out…

cs.LG2025★ 1 cited

Learn Singularly Perturbed Solutions via Homotopy Dynamics

Chuqi Chen, Yahong Yang, Yang Xiang +1

Solving partial differential equations (PDEs) using neural networks has become a central focus in scientific machine learning. Training neural networks for singularly perturbed pro…

math.NA2024

Quantifying Training Difficulty and Accelerating Convergence in Neural Network-Based PDE Solvers

Chuqi Chen, Qixuan Zhou, Yahong Yang +2

Neural network-based methods have emerged as powerful tools for solving partial differential equations (PDEs) in scientific and engineering applications, particularly when handling…

cond-mat.mtrl-sci2024

Investigating amorphization as a deformation mechanism using a novel phase field model at the mesoscale

Yuntong Huang, Shuyang Dai, Chuqi Chen +1

Amorphization during severe plastic deformation has been observed in various crystalline materials, yet its underlying mechanisms remain poorly understood. This study introduces a…

cs.LG2024★ 1 cited

Automatic Differentiation is Essential in Training Neural Networks for Solving Differential Equations

Chuqi Chen, Yahong Yang, Yang Xiang +1

Neural network-based approaches have recently shown significant promise in solving partial differential equations (PDEs) in science and engineering, especially in scenarios featuri…