155 citations · 987 across the 104 of their papers we have counts for
7 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…
A simple preconditioner for a discontinuous Galerkin method for the Stokes problem
Blanca Ayuso de Dios, Franco Brezzi, L. Donatella Marini +2
In this paper we construct Discontinuous Galerkin approximations of the Stokes problem where the velocity field is H(div)-conforming. This implies that the velocity solution is div…
Numerical Study of Geometric Multigrid Methods on CPU--GPU Heterogeneous Computers
Chunsheng Feng, Shi Shu, Jinchao Xu +1
The geometric multigrid method (GMG) is one of the most efficient solving techniques for discrete algebraic systems arising from elliptic partial differential equations. GMG utiliz…
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…
Optimal solvers for fourth-order PDEs discretized on unstructured grids
Shuo Zhang, Jinchao Xu
This paper provides the first provable algorithms for the linear system arising from the direct finite element discretization of the fourth-order equation w…