Homogenisation in domains with evolving microstructure

Malte A. Peter

doi:10.1016/j.crme.2007.05.024

Homogenisation in domains with evolving microstructure

Presented by: Évariste Sanchez-Palencia

Malte A. Peter ¹

¹ Centre for Industrial Mathematics, FB 3, University of Bremen, Postfach 330 440, 28334 Bremen, Germany

Comptes Rendus. Mécanique, Volume 335 (2007) no. 7, pp. 357-362.

Abstract
Résumé

We propose a method which accounts for an evolving microstructure in homogenisation problems. The concept of the method is quite general and can be applied to a number of different problems. It makes use of a transformation to a homogenisable substitute problem on a fixed periodic domain.

On propose une méthode pour inclure une évolution de la micro-structure en problème d'homogénéisation. L'idée de la méthode est assez générale et peut être employée pour une diversité de problèmes différents. Elle utilise la transformation d'un problème substitué homogénéisé dans un domaine fixe périodique.

Received: 2007-04-20
Accepted: 2007-04-26
Published online: 2007-07-01

DOI: 10.1016/j.crme.2007.05.024

Keywords: Homogenization, Multiscale approach, Porous media, Reaction–diffusion, Interfacial exchange
Mots-clés : Homogénéisation, Approche multiéchelle, Milieux poreux, Reaction et diffusion, Transport de masse à travers une surface de séparation

Author's affiliations:

Malte A. Peter ¹

¹ Centre for Industrial Mathematics, FB 3, University of Bremen, Postfach 330 440, 28334 Bremen, Germany

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Malte A. Peter. Homogenisation in domains with evolving microstructure. Comptes Rendus. Mécanique, Volume 335 (2007) no. 7, pp. 357-362. doi : 10.1016/j.crme.2007.05.024. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2007.05.024/

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