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

Part of: Partial differential equations, boundary value problems

Published online by Cambridge University Press:  10 November 2015

Yuping Zeng ,
Jinru Chen  and
Feng Wang
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.

Keywords

Interior penalty methodweakly over-penalizationelliptic eigenvalue problemsa posteriori error estimate

MSC classification

Secondary: 65N15: Error bounds 65N25: Eigenvalue problems 65N30: Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods
Type
Research Article
Information
East Asian Journal on Applied Mathematics , Volume 5 , Issue 4 , November 2015 , pp. 327 - 341
Copyright
Copyright © Global-Science Press 2015 

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