Asymptotic expansions and effective boundary conditions: a short review for smooth and nonsmooth geometries with thin layers★

Problems involving materials with thin layers arise in various application fields. We present here the use of asymptotic expansions for linear elliptic problems to derive and justify so-called ap-proximate or effective boundary conditions. We first recall the known results of the literature, and the...

Full description

Bibliographic Details
Main Authors: Auvray Alexis, Vial Grégory
Format: Article
Language:English
Published: EDP Sciences 2018-01-01
Series:ESAIM: Proceedings and Surveys
Online Access:https://doi.org/10.1051/proc/201861038