2010/09/16 by Nicaise, Serge, Venel, Juliette
#FOS: Mathematics #Numerical Analysis (math.NA)
paper · doi:10.48550/arxiv.1009.3147
We perform the a posteriori error analysis of residual type of a transmission problem with sign changing coefficients. According to [6] 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 [6]. The reliability and efficiency of the proposed estimator is confirmed by some numerical tests.