A posteriori error analysis for discontinuous finite volume methods of elliptic interface problems

https://doi.org/10.1016/j.cam.2013.05.020Get rights and content
Under an Elsevier user license
open archive

Abstract

This paper presents two types of a posterior error estimations for discontinuous finite volume methods to elliptic interface problems. One is the residual-based estimator and other one is the recovery-based estimator. For both a posterior error estimators, we establish reliability and efficiency bounds. Numerical experiments are conducted to validate our theoretical conclusions.

Keywords

A posteriori error estimator
Finite volume method
Elliptic interface problems

Cited by (0)