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

@article{Delourme2015WhenAT, title={When a thin periodic layer meets corners: asymptotic analysis of a singular Poisson problem}, author={B. Delourme and K. Schmidt and A. Semin}, journal={arXiv: Analysis of PDEs}, year={2015} }

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… Expand

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