3 papers
cs.GR2026
GMT: A Geometric Multigrid Transformer Solver for Microstructure Homogenization
Yu Xing, Yang Liu, Tianyang Xue +1
Lattice metamaterials enable lightweight, multifunctional structures, yet homogenization-based evaluation of their effective properties remains computationally expensive. Neural su…
physics.comp-ph2025
PCG-Informed Neural Solvers for High-Resolution Homogenization of Periodic Microstructures
Yu Xing, Yang Liu, Lipeng Chen +2
The mechanical properties of periodic microstructures are pivotal in various engineering applications. Homogenization theory is a powerful tool for predicting these properties by a…
cs.AI2024
GFPack++: Improving 2D Irregular Packing by Learning Gradient Field with Attention
Tianyang Xue, Lin Lu, Yang Liu +5
2D irregular packing is a classic combinatorial optimization problem with various applications, such as material utilization and texture atlas generation. This NP-hard problem requ…