All Issues

Vol.10, 2020
Vol.9, 2019
Vol.8, 2018
Vol.7, 2017
Vol.6, 2016
Vol.5, 2015
Vol.4, 2014
Vol.3, 2013
Vol.2, 2012
Vol.1, 2011
Numerical approximation of the elliptic eigenvalue problem by stabilized nonconforming finite element method
Zhifeng Weng,Shuying Zhai,Yuping Zeng,Xiaoqiang Yue
Keywords:elliptic eigenvalue problem, stabilized nonconforming method, error estimate, lower and upper bounds
      In this paper, a stabilized nonconforming mixed finite element method is used to solve the elliptic eigenvalue problem. Firstly, the lower-equal order element is used to discretize the space combined with the stabilization term based on the velocity projection method, and the error analysis is given. Moreover, the upper and lower bounds of eigenvalues are obtained. Finally, numerical experiments are carried out to verify the effectiveness of the proposed method.