5 papers
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…
Discontinuous Galerkin methods for the Laplace-Beltrami operator on point cloud
Guozhi Dong, Hailong Guo, Zuoqiang Shi
This paper is dedicated to the development of numerical analysis for high-order methods solving partial differential equations on scattered point clouds. We build a novel geometric…
Superconvergence of differential structure for finite element methods on perturbed surface meshes
Guozhi Dong, Hailong Guo, Ting Guo
Superconvergence of differential structure on discretized surfaces is studied in this paper. The newly introduced geometric supercloseness provides us with a fundamental tool to pr…
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…