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| HAL : hal-00517989, version 1 |
| arXiv : 1009.3147 |
| Fiche détaillée |  Récupérer au format |
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| A posteriori error estimates for a finite element approximation of transmission problems with sign changing coefficients |
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| Serge Nicaise 1Juliette Venel 1 |
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| (16/09/2010) |
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| 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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| 1 : | Laboratoire de Mathématiques et leurs Applications de Valenciennes, EA 45 (LAMAV) |
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Université de Valenciennes et du Hainaut-Cambresis – CNRS : FRE2956 |
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| Domaine | : | Mathématiques/Analyse numérique |
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| A posteriori estimator – non positive definite diffusion problems |
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| Liste des fichiers attachés à ce document : | ||||||||||
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| hal-00517989, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00517989 | |
| oai:hal.archives-ouvertes.fr:hal-00517989 | |
| Contributeur : Juliette Venel | |
| Soumis le : Jeudi 16 Septembre 2010, 10:11:44 | |
| Dernière modification le : Jeudi 16 Septembre 2010, 13:18:51 | |
