132 citations · 497 across the 66 of their papers we have counts for
6 papers · 1 filter
Superconvergence analysis of DG-FEM based on the polynomial preserving recovery for Helmholtz equation with high wave number
Yu Du, Zhimin Zhang
We study superconvergence property of the linear discontinuous Galerkin finite element method with the polynomial preserving recovery (PPR) and Richardson extrapolation for the two…
Spectral-Galerkin Approximation and Optimal Error Estimate for Stokes Eigenvalue Problems in Polar Geometries
Jing An, Huiyuan Li, Zhimin Zhang
In this paper we propose and analyze spectral-Galerkin methods for the Stokes eigenvalue problem based on the stream function formulation in polar geometries. We first analyze the…
Supercloseness analysis and polynomial preserving recovery for a class of weak Galerkin method
Ruishu Wang, Ran Zhang, Xu Zhang +1
In this paper, we analyze convergence and supercloseness properties of a class of weak Galerkin (WG) finite element methods for solving second-order elliptic problems. It is shown…
Robust residual-based a posteriori error estimators for mixed finite element methods for fourth order elliptic singularly perturbed problems
Shaohong Du, Runchang Lin, Zhimin Zhang
We consider mixed finite element approximation of a singularly perturbed fourth-order elliptic problem with two different boundary conditions, and present a new measure of the erro…
Robust recovery-type a posteriori error estimators for streamline upwind/Petrov Galerkin discretizations for singularly perturbed problems
Shaohong Du, Runchang Lin, Zhimin Zhang
In this paper, we investigate adaptive streamline upwind/Petrov Galerkin (SUPG) methods for singularly perturbed convection-diffusion-reaction equations in a new dual norm presente…
Efficient Spectral and Spectral Element Methods for Eigenvalue Problems of Schrödinger Equations with an Inverse Square Potential
Huiyuan Li, Zhimin Zhang
In this article, we study numerical approximation of eigenvalue problems of the Schrödinger operator . There are three stages in our investi…