128 citations · 513 across the 59 of their papers we have counts for
6 papers · 1 filter
Randomized Method of Subspace Corrections
Xiaozhe Hu, Jinchao Xu, Ludmil Zikatanov
In this paper, we consider the iterative method of subspace corrections with random ordering. We prove identities for the expected convergence rate, which can provide sharp estimat…
Convergence Analysis of the Fast Subspace Descent Methods for Convex Optimization Problems
Long Chen, Xiaozhe Hu, Steven M. Wise
The full approximation storage (FAS) scheme is a widely used multigrid method for nonlinear problems. In this paper, a new framework to design and analyze FAS-like schemes for conv…
Multi-View Graph Embedding Using Randomized Shortest Paths
Anuththari Gamage, Brian Rappaport, Shuchin Aeron +1
Real-world data sets often provide multiple types of information about the same set of entities. This data is well represented by multi-view graphs, which consist of several distin…
An Adaptive Multigrid Method Based on Path Cover
Xiaozhe Hu, Junyuan Lin, Ludmil T. Zikatanov
We propose a path cover adaptive algebraic multigrid (PC-AMG) method for solving linear systems of weighted graph Laplacians and can also be applied to discretized second order…
The Shifted-inverse Power Weak Galerkin Method for Eigenvalue Problems
Qilong Zhai, Xiaozhe Hu, Ran Zhang
This paper proposes and analyzes a new weak Galerkin method for the eigenvalue problem by using the shifted-inverse power technique. A high order lower bound can be obtained at a r…
A Consistent Spatially Adaptive Smoothed Particle Hydrodynamics Method for Fluid-Structure Interactions
Wei Hu, Guannan Guo, Xiaozhe Hu +3
A new consistent, spatially adaptive, smoothed particle hydrodynamics (SPH) method for Fluid-Structure Interactions (FSI) is presented. The method combines several attributes that…