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| HAL : hal-00095236, version 1 |
| Fiche détaillée |  Récupérer au format |
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| Mediterranean Journal of Mathematics 2 (2005) 327-344 |
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| Theoretical and Numerical Analysis of a Class of Nonlinear Elliptic Equations |
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| Nour Eddine Alaa 1Jean Rodolphe Roche 1, 2 |
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| (2005) |
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| In this paper we show the existence of weak solutions for a nonlinear elliptic equations with arbitrary growth of the non linearity and data measure. A numerical algorithm to compute a numerical approximation of the weak solution is described and analyzed. In a first step a super-solution is computed using a domain decomposition method. Numerical examples are presented and commented. |
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| 1 : | CALVI (INRIA Nancy - Grand Est / IECN / LSIIT / IRMA) |
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CNRS : UMR7005 – INRIA – Université de Strasbourg – Université de Lorraine |
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| 2 : | Institut Elie Cartan Nancy (IECN) |
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CNRS : UMR7502 – INRIA – Université Henri Poincaré - Nancy I – Université Nancy II – Institut National Polytechnique de Lorraine (INPL) |
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| Domaine | : | Mathématiques/Analyse numérique |
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| Domain decomposition – Nonlinear elliptic PDE |
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| Liste des fichiers attachés à ce document : | |||||
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| hal-00095236, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00095236 | |
| oai:hal.archives-ouvertes.fr:hal-00095236 | |
| Contributeur : Jean Rodolphe Roche | |
| Soumis le : Vendredi 15 Septembre 2006, 13:52:49 | |
| Dernière modification le : Lundi 18 Septembre 2006, 11:22:34 | |
