65 citations · 140 across the 37 of their papers we have counts for
4 papers · 1 filter
An HDG method for linear elasticity with strong symmetric stresses
Weifeng Qiu, Jiguang Shen, Ke Shi
This paper presents a new hybridizable discontinuous Galerkin (HDG) method for linear elasticity on general polyhedral meshes, based on a strong symmetric stress formulation. The k…
An analysis of HDG methods for convection dominated diffusion problems
Guosheng Fu, Weifeng Qiu, Wujun Zhang
In this paper, we establish an a priori error analysis of HDG methods with two types of stabilization parameter applied to convection dominated diffusion problem. We show that, usi…
First order least squares method with weakly imposed boundary condition for convection dominated diffusion problems
Huangxin Chen, Guosheng Fu, Jingzhi Li +1
We present and analyze a first order least squares method for convection dominated diffusion problems, which provides robust L2 a priori error estimate for the scalar variable even…
Mixed finite elements for elasticity on quadrilateral meshes
Douglas N. Arnold, Gerard Awanou, Weifeng Qiu
We present stable mixed finite elements for planar linear elasticity on general quadrilateral meshes. The symmetry of the stress tensor is imposed weakly and so there are three pri…