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 …
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 …
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 …
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 …
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 …
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 …
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 …
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 …
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 …