A Posteriori Error Estimates in Adini Finite Element for Eigenvalue Problems

A Posteriori Error Estimates in Adini Finite Element for Eigenvalue Problems

Year:    2000

Author:    Yi-Du Yang

Journal of Computational Mathematics, Vol. 18 (2000), Iss. 4 : pp. 413–418

Abstract

In this paper, we discuss a posteriori error estimates of the eigenvalue $\lambda_h$ given by Adini nonconforming finite element. We give an asymptotically exact error estimator of the $\lambda_h$. We prove that the order of convergence of the $\lambda_h$ is just 2 and the $\lambda_h$ converge from below for sufficiently small $h$.  

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2000-JCM-9053

Journal of Computational Mathematics, Vol. 18 (2000), Iss. 4 : pp. 413–418

Published online:    2000-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    6

Keywords:    eigenvalue nonconforming finite element error estimate.

Author Details

Yi-Du Yang