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A Posteriori Error Estimates of a Weakly Over-Penalized Symmetric Interior Penalty Method for Elliptic Eigenvalue Problems

Published online by Cambridge University Press:  10 November 2015

Yuping Zeng*
Affiliation:
School of Mathematics, Jiaying University, Meizhou 514015, China
Jinru Chen
Affiliation:
Jiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Nanjing 210023, China
Feng Wang
Affiliation:
Jiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Nanjing 210023, China
*
*Corresponding author. Email addresses:zeng_yuping@163.com(Y. Zeng), jrchen@njnu.edu.cn (J. Chen), fwang@njnu.edu.en(F. Wang)
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Abstract

A weakly over-penalized symmetric interior penalty method is applied to solve elliptic eigenvalue problems. We derive a posteriori error estimator of residual type, which proves to be both reliable and efficient in the energy norm. Some numerical tests are provided to confirm our theoretical analysis.

Type
Research Article
Copyright
Copyright © Global-Science Press 2015 

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