Delourme, Bérangère ; Schmidt, Kersten ; Semin, Adrien (2016)
On the homogenization of thin perforated walls of finite length.
In: Asymptot. Anal., 97 (3-4)
doi: 10.3233/ASY-151350
Artikel, Bibliographie
Kurzbeschreibung (Abstract)
The present work deals with the resolution of the Poisson equation in a bounded domain made of a thin and periodic layer of finite length placed into a homogeneous medium. We provide and justify a high order asymptotic expansion which takes into account the boundary layer effect occurring in the vicinity of the periodic layer as well as the corner singularities appearing in the neighborhood of the extremities of the layer. Our approach combines the method of matched asymptotic expansions and the method of periodic surface homogenization.
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2016 |
| Autor(en): | Delourme, Bérangère ; Schmidt, Kersten ; Semin, Adrien |
| Art des Eintrags: | Bibliographie |
| Titel: | On the homogenization of thin perforated walls of finite length |
| Sprache: | Englisch |
| Publikationsjahr: | 6 April 2016 |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | Asymptot. Anal. |
| Jahrgang/Volume einer Zeitschrift: | 97 |
| (Heft-)Nummer: | 3-4 |
| DOI: | 10.3233/ASY-151350 |
| URL / URN: | http://content.iospress.com/articles/asymptotic-analysis/asy... |
| Kurzbeschreibung (Abstract): | The present work deals with the resolution of the Poisson equation in a bounded domain made of a thin and periodic layer of finite length placed into a homogeneous medium. We provide and justify a high order asymptotic expansion which takes into account the boundary layer effect occurring in the vicinity of the periodic layer as well as the corner singularities appearing in the neighborhood of the extremities of the layer. Our approach combines the method of matched asymptotic expansions and the method of periodic surface homogenization. |
| Fachbereich(e)/-gebiet(e): | 04 Fachbereich Mathematik 04 Fachbereich Mathematik > Numerik und wissenschaftliches Rechnen |
| Hinterlegungsdatum: | 19 Nov 2018 21:09 |
| Letzte Änderung: | 19 Nov 2018 21:09 |
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