23 citations · 105 across the 56 of their papers we have counts for
5 papers · 1 filter
Analysis of hybrid methods of mixed-shear-projected triangular and quadrilateral elements for Reissner-Mindlin plates
Guozhu Yu, Xiaoping Xie, Yuanhui Guo
It is known that the 3-node hybrid triangular element MiSP3 and 4-node hybrid quadrilateral element MiSP4 presented by Ayad, Dhatt and Batoz (Int. J. Numer. Meth. Engng 1998, 42: 1…
BPX preconditioner for nonstandard finite element methods for diffusion problems
Binjie Li, Xiaoping Xie
This paper proposes and analyzes an optimal preconditioner for a general linear symmetric positive definite (SPD) system by following the basic idea of the well-known BPX framework…
Analysis of a family of HDG methods for second order elliptic problems
Binjie Li, Xiaoping Xie
In this paper, we analyze a family of hybridizable discontinuous Galerkin (HDG) methods for second order elliptic problems in two and three dimensions. The methods use piecewise po…
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…
A two-level algorithm for the weak Galerkin discretization of diffusion problems
Binjie Li, Xiaoping Xie
This paper analyzes a two-level algorithm for the weak Galerkin (WG) finite element methods based on local Raviart-Thomas (RT) and Brezzi-Douglas-Marini (BDM) mixed elements for tw…