[HTML][HTML] Asymptotic expansions and extrapolations of eigenvalues for the Stokes problem by mixed finite element methods

X Yin, H Xie, S Jia, S Gao - Journal of Computational and Applied …, 2008 - Elsevier
This paper derives a general procedure to produce an asymptotic expansion for
eigenvalues of the Stokes problem by mixed finite elements. By means of integral expansion …

Asymptotic error expansion and Richardson extrapolation of eigenvalue approximations for second order elliptic problems by the mixed finite element method

Q Lin, H Xie - Applied numerical mathematics, 2009 - Elsevier
The paper provides a general procedure or method to produce asymptotic error expansion
for the eigenvalue approximations of second order elliptic problems by the mixed finite …

Upper spectral bounds and a posteriori error analysis of several mixed finite element approximations for the Stokes eigenvalue problem

YD Yang, W Jiang - Science China Mathematics, 2013 - Springer
This paper discusses conforming mixed finite element approximations for the Stokes
eigenvalue problem. Firstly, several mixed finite element identities are proved. Based on …

Postprocessing and higher order convergence for the mixed finite element approximations of the Stokes eigenvalue problems

H Chen, S Jia, H Xie - Applications of Mathematics, 2009 - Springer
In this paper we propose a method for improving the convergence rate of the mixed finite
element approximations for the Stokes eigenvalue problem. It is based on a postprocessing …

Finite element analysis of the Oseen eigenvalue problem

F Lepe, G Rivera, J Vellojin - Computer Methods in Applied Mechanics and …, 2024 - Elsevier
We propose and analyze a finite element method for the Oseen eigenvalue problem. This
problem is an extension of the Stokes eigenvalue problem, where the presence of the …

Superconvergence and a posteriori error estimates for the Stokes eigenvalue problems

H Liu, W Gong, S Wang, N Yan - BIT Numerical Mathematics, 2013 - Springer
In this paper we consider the finite element approximation of the Stokes eigenvalue
problems based on projection method, and derive some superconvergence results and the …

Numerical investigations on several stabilized finite element methods for the Stokes eigenvalue problem

P Huang, Y He, X Feng - Mathematical Problems in …, 2011 - Wiley Online Library
Several stabilized finite element methods for the Stokes eigenvalue problem based on the
lowest equal‐order finite element pair are numerically investigated. They are penalty …

[HTML][HTML] The a posteriori error estimates and adaptive computation of nonconforming mixed finite elements for the Stokes eigenvalue problem

L Sun, Y Yang - Applied Mathematics and Computation, 2022 - Elsevier
In this paper, we discuss the a posteriori error estimates and adaptive algorithm of non-
conforming mixed finite elements including the Crouzeix–Raviart element and the enriched …

A posteriori error estimator for eigenvalue problems by mixed finite element method

SH Jia, HT Chen, HH Xie - Science China Mathematics, 2013 - Springer
In this paper, a residual type of a posteriori error estimator for the general second order
elliptic eigenpair approximation by the mixed finite element method is derived and analyzed …

Superconvergence of a stabilized approximation for the Stokes eigenvalue problem by projection method

P Huang - Applications of mathematics, 2014 - Springer
This paper presents a superconvergence result based on projection method for stabilized
finite element approximation of the Stokes eigenvalue problem. The projection method is a …