95 citations · 275 across the 50 of their papers we have counts for
6 papers · 1 filter
Postprocessing and Higher Order Convergence of Stabilized Finite Element Discretizations of the Stokes Eigenvalue Problem
Hehu Xie
In this paper, the stabilized finite element method based on local projection is applied to discretize the Stokes eigenvalue problems and the corresponding convergence analysis is…
Computing the lower and upper bounds of Laplace eigenvalue problem: by combining conforming and nonconforming finite element methods
Fusheng Luo, Qun Lin, Hehu Xie
This article is devoted to computing the lower and upper bounds of the Laplace eigenvalue problem. By using the special nonconforming finite elements, i.e., enriched Crouzeix-Ravia…
A Multi-level Correction Scheme for Eigenvalue Problems
Qun Lin, Hehu Xie
In this paper, a new type of multi-level correction scheme is proposed for solving eigenvalue problems by finite element method. With this new scheme, the accuracy of eigenpair app…
Lower Bounds of the Discretization for Piecewise Polynomials
Qun Lin, Hehu Xie, Jinchao Xu
Assume that is a space of piecewise polynomials of degree less than on a family of quasi-uniform triangulation of size . Then the following well-known upper boun…
New metric tensors for anisotropic mesh generation
Xiaobo Yin, Hehu Xie
A new anisotropic mesh adaptation strategy for finite element solution of elliptic differential equations is presented. It generates anisotropic adaptive meshes as quasi-uniform on…
A posteriori error estimators suitable for moving finite element methods under anisotropic meshes
Xiaobo Yin, Hehu Xie
In this paper, we give a new type of a posteriori error estimators suitable for moving finite element methods under anisotropic meshes for general second-order elliptic problems. T…