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

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.