A posteriori error estimates for a finite element approximation of transmission problems with sign changing coefficients |
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Authors: | Serge Nicaise Juliette Venel |
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Institution: | Université de Valenciennes et du Hainaut Cambrésis, LAMAV, FR CNRS 2956, Institut des Sciences et Techniques de Valenciennes, F-59313 - Valenciennes Cedex 9, France |
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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. |
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Keywords: | 65N30 65N15 65N50 |
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