direkt zum Inhalt springen

direkt zum Hauptnavigationsmenü

Sie sind hier

TU Berlin

Inhalt des Dokuments

Preprint 34-2015

When a thin periodic layer meets corners: asymptotic analysis of a singular Poisson problem

Source file is available as :   Portable Document Format (PDF)

Author(s) : Bérangère Delourme , Kersten Schmidt , Adrien Semin

Preprint series of the Institute of Mathematics, Technische Universität Berlin
Preprint 34-2015

MSC 2000

35C20 Asymptotic expansions
35A20 Analytic methods, singularities

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, and a complete justification is included in the paper or its appendix.

Keywords : Asymptotic analysis, Periodic surface homogenization, singular asymptotic expansions

Zusatzinformationen / Extras


Schnellnavigation zur Seite über Nummerneingabe