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

• Autores: Lin Mu, Rabeea Jari
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 255, Nº 1, 2014, págs. 529-543
• Idioma: inglés
• DOI: 10.1016/j.cam.2013.05.020
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• Resumen

  • 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.