3 citations · 4 across the 5 of their papers we have counts for
5 papers
A new analytical framework for the convergence of inexact two-grid methods
Xuefeng Xu, Chen-Song Zhang
Two-grid methods with exact solution of the Galerkin coarse-grid system have been well studied by the multigrid community: an elegant identity has been established to characterize…
A new estimate for a quantity involving the Chebyshev polynomials of the first kind
Xuefeng Xu, Chen-Song Zhang
In this paper, we establish a new estimate (including lower and upper bounds) for an important quantity involved in the convergence analysis of smoothed aggregation algebraic multi…
On the Ideal Interpolation Operator in Algebraic Multigrid Methods
Xuefeng Xu, Chen-Song Zhang
Various algebraic multigrid algorithms have been developed for solving problems in scientific and engineering computation over the past decades. They have been shown to be well-sui…
New perturbation bounds for the spectrum of a normal matrix
Xuefeng Xu, Chen-Song Zhang
Let and be two normal matrices with spectra and , respect…
An adaptive hybrid stress transition quadrilateral finite element method for linear elasticity
Feiteng Huang, Xiaoping Xie, Chen-Song Zhang
In this paper, we discuss an adaptive hybrid stress finite element method on quadrilateral meshes for linear elasticity problems. To deal with hanging nodes arising in the adaptive…