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

Authors
Journal
Journal of Computational and Applied Mathematics
0377-0427
Publisher
Elsevier
Publication Date
Volume
255
Identifiers
DOI: 10.1016/j.cam.2013.05.020
Keywords
  • A Posteriori Error Estimator
  • Finite Volume Method
  • Elliptic Interface Problems

Abstract

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.

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