TY - GEN A1 - Delourme, Bérangère A1 - Schmidt, Kersten A1 - Semin, Adrien T1 - On the homogenization of thin perforated walls of finite length N2 - 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 mixes the method of matched asymptotic expansions and the method of periodic surface homogenization. KW - Asymptotic analysis KW - Periodic surface homogenization KW - Singular asymptotic expansions Y1 - 2015 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/1367 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-13674 ER -