2 citations · 3 across the 10 of their papers we have counts for
10 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…
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…
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…
Edge multiscale finite element methods for semilinear parabolic problems with heterogeneous coefficients
Leonardo A. Poveda, Shubin Fu, Guanglian Li +1
We develop a new spatial semidiscrete multiscale method based upon the edge multiscale methods to solve semilinear parabolic problems with heterogeneous coefficients and smooth ini…
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…
A fast cosine transformation accelerated method for predicting effective thermal conductivity
Changqing Ye, Shubin Fu, Eric T. Chung
Predicting effective thermal conductivity by solving a Partial Differential Equation (PDE) defined on a high-resolution Representative Volume Element (RVE) is a computationally int…
A robust two-level overlapping preconditioner for Darcy flow in high-contrast media
Changqing Ye, Shubin Fu, Eric T. Chung +1
In this article, a two-level overlapping domain decomposition preconditioner is developed for solving linear algebraic systems obtained from simulating Darcy flow in high-contrast…
An efficient multiscale multigrid preconditioner for Darcy flow in high-contrast media
Changqing Ye, Shubin Fu, Eric T. Chung +1
In this paper, we develop a multigrid preconditioner to solve Darcy flow in highly heterogeneous porous media. The key component of the preconditioner is to construct a sequence of…
Wavelet-based Edge Multiscale Finite Element Methods for Singularly Perturbed Convection-Diffusion Equations
Shubin Fu, Eric Chung, Guanglian Li
We propose a novel efficient and robust Wavelet-based Edge Multiscale Finite Element Method (WEMsFEM) motivated by \cite{MR3980476,GL18} to solve the singularly perturbed convectio…