Asymptotic expansions for the conductivity problem with nearly touching inclusions with corner
VIAL, Grégory
Modélisation mathématique, calcul scientifique [MMCS]
Institut Camille Jordan [ICJ]
École Centrale de Lyon [ECL]
Modélisation mathématique, calcul scientifique [MMCS]
Institut Camille Jordan [ICJ]
École Centrale de Lyon [ECL]
VIAL, Grégory
Modélisation mathématique, calcul scientifique [MMCS]
Institut Camille Jordan [ICJ]
École Centrale de Lyon [ECL]
< Reduce
Modélisation mathématique, calcul scientifique [MMCS]
Institut Camille Jordan [ICJ]
École Centrale de Lyon [ECL]
Language
en
Article de revue
This item was published in
Annales Henri Lebesgue. 2019, vol. 3, p. 381-406
UFR de Mathématiques - IRMAR
English Abstract
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 ...Read more >
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.Read less <
English Keywords
Corner singularity
Asymptotic expansion
ANR Project
Analyse de méthodes asymptotiques robustes pour la simulation numérique en mécanique - ANR-12-BS01-0021
Origin
Hal imported