| Autor: |
Auvray Alexis, Vial Grégory |
| Jazyk: |
angličtina |
| Rok vydání: |
2018 |
| Předmět: |
|
| Zdroj: |
ESAIM: Proceedings and Surveys, Vol 61, Pp 38-54 (2018) |
| Druh dokumentu: |
article |
| ISSN: |
2267-3059 |
| DOI: |
10.1051/proc/201861038 |
| Popis: |
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 then discuss the optimality of the error estimates in the smooth case. For non-smooth geometries, the results of [18, 57] are commented and adapted to a model problem, and two improvements of the approximate model are proposed to increase its numerical performance. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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