3 papers
math.NA2026
An Adaptive Subdomain Coupling Approach in Domain Decomposition for Multiphase Porous Media Flow
Shizhe Li, Li Zhao, Chen-Song Zhang
The numerical simulation of large-scale multiphase flow in porous media is of considerable importance across various application fields, particularly in the petroleum industry. The…
math.NA2026
Massively parallel Schwarz methods for the high frequency Helmholtz equation
Yan Xie, Shihua Gong, Ivan G. Graham +2
We investigate the parallel one-level overlapping Schwarz method for solving finite element discretization of high-frequency Helmholtz equations. The resulting linear systems are l…
cs.LG2025
Recurrent Neural Operators: Stable Long-Term PDE Prediction
Zaijun Ye, Chen-Song Zhang, Wansheng Wang
Neural operators have emerged as powerful tools for learning solution operators of partial differential equations. However, in time-dependent problems, standard training strategies…