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

Lin Mu, Rabeea Jari

• 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.