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Mathematical Problems in Engineering
Volume 2015, Article ID 510241, 11 pages
http://dx.doi.org/10.1155/2015/510241
Research Article

A Posteriori Error Estimate for Finite Volume Element Method of the Second-Order Hyperbolic Equations

1School of Mathematics and Information Sciences, Yantai University, Yantai 264005, China
2School of Mathematics and Computational Science, Xiangtan University, Xiangtan 411105, China

Received 6 September 2015; Accepted 18 November 2015

Academic Editor: Xinguang Zhang

Copyright © 2015 Chuanjun Chen et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We establish a posteriori error estimate for finite volume element method of a second-order hyperbolic equation. Residual-type a posteriori error estimator is derived. The computable upper and lower bounds on the error in the -norm are established. Numerical experiments are provided to illustrate the performance of the proposed estimator.