4 papers
A unified analysis of quasi-optimal convergence for adaptive mixed finite element methods
Jun Hu, Guozhu Yu
In this paper, we present a unified analysis of both convergence and optimality of adaptive mixed finite element methods for a class of problems when the finite element spaces and…
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…
Analysis of two-level method for anisotropic diffusion equations on aligned and non-aligned grids
Guozhu Yu, Jinchao Xu, Ludmil Zikatanov
This paper is devoted to the multigrid convergence analysis for the linear systems arising from the conforming linear finite element discretization of the second order elliptic equ…
Uniform convergence and a posteriori error estimation for assumed stress hybrid finite element methods
Guozhu Yu, Xiaoping Xie, Carsten Carstensen
Assumed stress hybrid methods are known to improve the performance of standard displacement-based finite elements and are widely used in computational mechanics. The methods are ba…