A Possible Homogenization Approach for the Numerical Simulation of Periodic Microstructures with Defects

dc.contributor.author	Blanc, Xavier HAL ID: 11177 ORCID: 0000-0003-1783-0708
dc.contributor.author	Le Bris, Claude
dc.contributor.author	Lions, Pierre-Louis
dc.date.accessioned	2012-09-06T14:45:45Z
dc.date.available	2012-09-06T14:45:45Z
dc.date.issued	2012
dc.identifier.uri	https://basepub.dauphine.fr/handle/123456789/9919
dc.language.iso	en	en
dc.subject	homogenization theory	en
dc.subject	elliptic equation with oscillatory coefficient	en
dc.subject.ddc	515	en
dc.title	A Possible Homogenization Approach for the Numerical Simulation of Periodic Microstructures with Defects	en
dc.type	Article accepté pour publication ou publié
dc.description.abstracten	We present a general strategy, adapted from classical homogenization theory, to approximate at the fine scale the solution to an elliptic equation with oscillatory coefficient when this coefficient is a locally perturbed periodic function. We illustrate numerically the efficiency of the approach. The setting considered is a particular case of a more general method which is developed in works in preparation.	en
dc.relation.isversionofjnlname	Milan Journal of Mathematics
dc.relation.isversionofjnlvol	80
dc.relation.isversionofjnlissue	2
dc.relation.isversionofjnldate	2012
dc.relation.isversionofjnlpages	351-367
dc.relation.isversionofdoi	http://dx.doi.org/10.1007/s00032-012-0186-7	en
dc.relation.isversionofjnlpublisher	Springer	en
dc.subject.ddclabel	Analyse	en

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