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…
Applying Two-Grid Preconditioner for Subsurface Flow Simulation using Attention-enhanced Hybrid Network to Accelerate Multiscale Discretization in High-contrast Media
Peiqi Li, Jie Chen, Shubin Fu
In this paper, we study the efficient numerical solution of Darcy equations in strongly heterogeneous media with high-contrast permeability and propose a hybrid framework that comb…
MatExPre: A matrix exponential preconditioner for the high-frequency Helmholtz equation
Shubin Fu, Qing Huo Liu, Qiwei Zhan +2
In this article, we present a new preconditioner, MatExPre, for the high-frequency Helmholtz equation by leveraging the properties of matrix exponentials. Our approach begins by re…
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…