A posteriori error estimates for finite volume method based on bilinear trial functions for the elliptic equation Dedicated to Prof. Klaus B?hmer in the occasion of his 75th birthday

摘要

This paper is concerned with a residual type a posteriori error estimators for a finite volume method for the second order elliptic equation. Bilinear functions are used as trial functions in this finite volume method. Reliability and efficiency bounds for the error estimator are established. Numerical examples are provided to confirm the theory.