Asymptotic expansions for the conductivity problem with nearly touching inclusions with corner
| hal.structure.identifier | Département de Mathématiques et Applications - ENS Paris [DMA] | |
| dc.contributor.author | BONNAILLIE-NOËL, Virginie | |
| hal.structure.identifier | Modélisation Mathématique pour l'Oncologie [MONC] | |
| dc.contributor.author | POIGNARD, Clair | |
| hal.structure.identifier | Modélisation mathématique, calcul scientifique [MMCS] | |
| hal.structure.identifier | Institut Camille Jordan [ICJ] | |
| hal.structure.identifier | École Centrale de Lyon [ECL] | |
| dc.contributor.author | VIAL, Grégory | |
| dc.date.accessioned | 2024-04-04T03:00:36Z | |
| dc.date.available | 2024-04-04T03:00:36Z | |
| dc.date.created | 2019-06-28 | |
| dc.date.issued | 2019 | |
| dc.identifier.issn | 2644-9463 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/192831 | |
| dc.description.abstractEn | We investigate the case of a medium with two inclusions or inhomogeneities with nearly touching corner singularities. We present two different asymptotic models to describe the phenomenon under specific geometrical assumptions. These asymptotic expansions are analysed and compared in a common framework. We conclude by a representation formula to characterise the detachment of the corners and we provide the possible extensions of the geometrical hypotheses. | |
| dc.description.sponsorship | Analyse de méthodes asymptotiques robustes pour la simulation numérique en mécanique - ANR-12-BS01-0021 | |
| dc.language.iso | en | |
| dc.publisher | UFR de Mathématiques - IRMAR | |
| dc.subject.en | Corner singularity | |
| dc.subject.en | Asymptotic expansion | |
| dc.title.en | Asymptotic expansions for the conductivity problem with nearly touching inclusions with corner | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.5802/ahl.36 | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| bordeaux.journal | Annales Henri Lebesgue | |
| bordeaux.page | 381-406 | |
| bordeaux.volume | 3 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-01766052 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01766052v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Annales%20Henri%20Lebesgue&rft.date=2019&rft.volume=3&rft.spage=381-406&rft.epage=381-406&rft.eissn=2644-9463&rft.issn=2644-9463&rft.au=BONNAILLIE-NO%C3%8BL,%20Virginie&POIGNARD,%20Clair&VIAL,%20Gr%C3%A9gory&rft.genre=article |
Fichier(s) constituant ce document
| Fichiers | Taille | Format | Vue |
|---|---|---|---|
|
Il n'y a pas de fichiers associés à ce document. |
|||