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Volume 18, Issue 4
A Posteriori Error Estimates in Adini Finite Element for Eigenvalue Problems

Yi-Du Yang

J. Comp. Math., 18 (2000), pp. 413-418.

Published online: 2000-08

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  • 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 $h$.  

  • Keywords

eigenvalue, nonconforming finite element, error estimate.

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COPYRIGHT: © Global Science Press

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@Article{JCM-18-413, author = {Yang , Yi-Du}, title = {A Posteriori Error Estimates in Adini Finite Element for Eigenvalue Problems}, journal = {Journal of Computational Mathematics}, year = {2000}, volume = {18}, number = {4}, pages = {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 $h$.  

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9053.html} }
TY - JOUR T1 - A Posteriori Error Estimates in Adini Finite Element for Eigenvalue Problems AU - Yang , Yi-Du JO - Journal of Computational Mathematics VL - 4 SP - 413 EP - 418 PY - 2000 DA - 2000/08 SN - 18 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9053.html KW - eigenvalue, nonconforming finite element, error estimate. AB -

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 $h$.  

Yang , Yi-Du. (2000). A Posteriori Error Estimates in Adini Finite Element for Eigenvalue Problems. Journal of Computational Mathematics. 18 (4). 413-418. doi:
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