128 citations · 513 across the 59 of their papers we have counts for
4 papers · 1 filter
On Adaptive Eulerian-Lagrangian Method for Linear Convection-Diffusion Problems
Xiaozhe Hu, Young-Ju Lee, Jinchao Xu +1
In this paper, we consider the adaptive Eulerian--Lagrangian method (ELM) for linear convection-diffusion problems. Unlike the classical a posteriori error estimations, we estimate…
A Parallel Auxiliary Grid AMG Method for GPU
Lu Wang, Xiaozhe Hu, Jonathan Cohen +1
In this paper, we develop a new parallel auxiliary grid algebraic multigrid (AMG) method to leverage the power of graphic processing units (GPUs). In the construction of the hierar…
Combined Preconditioning with Applications in Reservoir Simulation
Xiaozhe Hu, Shuhong Wu, Xiao-Hui Wu +4
We develop a simple algorithmic framework to solve large-scale symmetric positive definite linear systems. At its core, the framework relies on two components: (1) a norm-convergen…
Comparative Convergence Analysis of Nonlinear AMLI-cycle Multigrid
Xiaozhe Hu, Panayot S. Vassilevski, Jinchao Xu
The main purpose of this paper is to provide a comprehensive convergence analysis of nonlinear AMLI-cycle multigrid method for symmetric positive definite problems. Based on classi…