8 citations · 9 across the 4 of their papers we have counts for
5 papers · 1 filter
Recovery Techniques for Finite Element Methods
Hailong Guo, Zhimin Zhang
Post-processing techniques are essential tools for enhancing the accuracy of finite element approximations and achieving superconvergence. Among these, recovery techniques stand ou…
New interior penalty method for Monge-Ampère equations
Tianyang Chu, Hailong Guo, Zhimin Zhang
Monge-Ampère equation is a prototype second-order fully nonlinear partial differential equation. In this paper, we propose a new idea to design and analyze the interior penal…
Virtual Element Methods for HJB Equations with Cordes Coefficients
Ying Cai, Hailong Guo, Zhimin Zhang
In this paper, we propose and analyze both conforming and nonconforming virtual element methods (VEMs) for the fully nonlinear second-order elliptic Hamilton-Jacobi-Bellman (HJB) e…
Continuous Linear Finite Element Method for Biharmonic Problems on Surfaces
Ying Cai, Hailong Guo, Zhimin Zhang
This paper presents an innovative continuous linear finite element approach to effectively solve biharmonic problems on surfaces. The key idea behind this method lies in the strate…
Superconvergent postprocessing of interior penalty method
Ying Cai, Hailong Guo, Zhimin Zhang
This paper focuses on the superconvergence analysis of the Hessian recovery technique for the Interior Penalty Method (C0IP) in solving the biharmonic equation. We establish…