5 papers
An algebraic multiscale preconditioner for large sparse SPD matrices
Yingjie Zhou, Shubin Fu, Eric Tsz Shun Chung
We present a two-grid algebraic multiscale preconditioner for large sparse symmetric positive definite systems arising from elliptic problems with highly heterogeneous coefficients…
SeesawNet: Towards Non-stationary Time Series Forecasting with Balanced Modeling of Common and Specific Dependencies
Hao Li, Lu Zhang, Liu Chong +3
Instance normalization (IN) is widely used in non-stationary multivariate time series forecasting to reduce distribution shifts and highlight common patterns across samples. Howeve…
Efficient Multiscale Methods for Highly Heterogeneous Spatial Network Models
Yingjie Zhou, Xiang Zhong, Changqing Ye +1
Modeling complex spatial networks with multiscale heterogeneity poses significant mathematical and computational challenges. Lacking explicit PDE discretizations and facing excessi…
A robust solver for large-scale heat transfer topology optimization
Yingjie Zhou, Changqing Ye, Yucheng Liu +2
This paper presents a large-scale parallel solver, specifically designed to tackle the challenges of solving high-dimensional and high-contrast linear systems in heat transfer topo…
Learning a generalized multiscale prolongation operator
Yucheng Liu, Shubin Fu, Yingjie Zhou +2
In this research, we address Darcy flow problems with random permeability using iterative solvers, enhanced by a two-grid preconditioner based on a generalized multiscale prolongat…