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On the homogenization of thin perforated walls of finite length

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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