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

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

2010-09-16

arxiv.org/abs/1009.3147v1

Mathematics

Numerical Analysis

15 pages

Scientific paper

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.

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