8 citations · 9 across the 8 of their papers we have counts for
26 papers · 1 filter
A Gradient Recovery Method for Electron Magnetohydrodynamics with Fractional Dissipation
Hailong Guo, Ruimeng Hu, Qirui Peng +1
We propose and analyze a structure-preserving numerical method for the -dimensional (2.5D) electron magnetohydrodynamics system with fractional dissipation on the pe…
Polynomial preserving recovery for PHT-splines
Ying Cai, Falai Chen, Hailong Guo +2
We propose a polynomial preserving recovery method for PHT-splines within isogeometric analysis to obtain more accurate gradient approximations. The method fully exploits the local…
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…