A posteriori error estimates for a finite element approximation of transmission problems with sign changing coefficients

Authors:
Serge Nicaise;Juliette Venel
Affiliations:
-;-
Venue:
Journal of Computational and Applied Mathematics
Year:
2011

Citing 4
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Abstract

We perform the a posteriori error analysis of residual type of transmission problem with sign changing coefficients. According to Bonnet-BenDhia et al. (2010) [9], if the contrast is large enough, the continuous problem can be transformed into a coercive one. We further show that a similar property holds for the discrete problem for any regular meshes, extending the framework from Bonnet-BenDhia et al. [9]. The reliability and efficiency of the proposed estimator are confirmed by some numerical tests.