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| HAL: hal-00360041, version 1 |
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| Networks and Heterogeneous Media 3, 3 (2008) 509-522 |
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| Duality results in the homogenization of two-dimensional high-contrast conductivities |
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| Marc Briane 1David Manceau 1 |
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| (2008) |
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| The paper deals with some extensions of the Keller-Dykhne duality relations arising in the classical homogenization of two-dimensional uniformly bounded conductivities, to the case of high-contrast conductivities. Only assuming a L-1-bound on the conductivity we prove that the conductivity and its dual converge respectively, in a suitable sense, to the homogenized conductivity and its dual. In the periodic case a similar duality result is obtained under a less restrictive assumption. |
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| 1: | Institut de Recherche Mathématique de Rennes (IRMAR) |
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CNRS : UMR6625 – Université de Rennes 1 – École normale supérieure de Cachan - ENS Cachan – Institut National des Sciences Appliquées (INSA) : - RENNES – Université de Rennes II - Haute Bretagne |
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| theorem – convergence |
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| hal-00360041, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00360041 | |
| oai:hal.archives-ouvertes.fr:hal-00360041 | |
| From: Marie-Annick Guillemer | |
| Submitted on: Tuesday, 10 February 2009 10:45:20 | |
| Updated on: Thursday, 18 March 2010 17:34:18 | |
