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

作者:Chen, Chuanjun*; Zhao, Xin; Zhang, Yuanyuan
来源:Mathematical Problems in Engineering, 2015, 2015: 510241.
DOI:10.1155/2015/510241

摘要

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 H-1-norm are established. Numerical experiments are provided to illustrate the performance of the proposed estimator.