3 papers
math.NA2026
Graph-Based Meshfree Multi-scale Coarse Space Approximation for Two-Level Schwarz Methods
Yucheng Liu, Tak Shing Au Yeung, Eric T. Chung +1
Efficient simulation of Darcy flow in highly heterogeneous porous media requires iterative solvers that remain robust under large permeability contrasts and mixed boundary conditio…
math.NA2025
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…
math.NA2025
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…