31 citations · 188 across the 26 of their papers we have counts for
4 papers · 1 filter
Surface Crouzeix-Raviart element for the Laplace-Beltrami equation
Hailong Guo
This paper is concerned with the nonconforming finite element discretization of geometric partial differential equations. In specific, we construct a surface Crouzeix-Raviart eleme…
Hessian recovery based finite element methods for the Cahn-Hilliard Equation
Minqiang Xu, Hailong Guo, Qingsong Zou
In this paper, we propose a novel recovery based finite element method for the Cahn-Hilliard equation. One distinguishing feature of the method is that we discretize the fourth-ord…
A linear finite element method for sixth order elliptic equations
Hailong Guo, Zhimin Zhang, Qingsong Zou
In this paper, we develop a straightforward linear finite element method for sixth-order elliptic equations. The basic idea is to use gradient recovery techniques to generate…
Superconvergent Gradient Recovery for Virtual Element Methods
Hailong Guo, Cong Xie, Ren Zhao
Virtual element methods is a new promising finite element methods using general polygonal meshes. Its optimal a priori error estimates are well established in the literature. In th…