3 papers
math.NA2025
Semi-robust equal-order hybridized discontinuous methods
Xiaoqi Ma, Jin Zhang
This paper introduces a unified analysis framework of equal-order hybridized discontinuous finite element (HDG) methods. The general framework covers standard HDG, embedded discont…
math.NA2023
Uniform convergence of optimal order of a local discontinuous Galerkin method on a Shishkin mesh under a balanced norm
Xiaoqi Ma, Jin Zhang, Wenchao Zheng
This article investigates a local discontinuous Galerkin (LDG) method for one-dimensional and two-dimensional singularly perturbed reaction-diffusion problems on a Shishkin mesh. D…
math.NA2023
Supercloseness of the NIPG method for a singularly perturbed convection diffusion problem on Shishkin mesh in 2D
Xiaoqi Ma, Jin Zhang
As a popular stabilization technique, the nonsymmetric interior penalty Galerkin (NIPG) method has significant application value in computational fluid dynamics. In this paper, we…