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Einstein Projekt Semin

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Einstein Project Dr. Adrien Semin

Asymptotic analysis of finite periodic thin layers ending with corner singularities
Duration
October 2012 - December 2015
Head
Dr. Kersten Schmidt
Researcher
Dr. Adrien Semin
Cooperation
Bérangère Delourme (Université Paris 13)
Robert Gruhlke (Technische Universität Berlin)
Description
It is known in the engineering that materials with small multiple co-axial wires, or multi-perforated materials helps to reduce the sound propagating inside the media containing. The difficulty lies in a high density of small holes which makes a direct numerical simulation impossible because the equations to be solved would be too large. However the small holes have a significant influence on the outgoing noise. In this project we study a thin periodic multi-perforated layer ending with two corners singularities with techniques of asymptotic expansion.

Publications

Semin, A., Delourme, B. and Schmidt, K. On the homogenization of the Helmholtz problem with thin perforated walls of finite length. Mathematical Modelling and Numerical Analysis, Submitted. [BibTeX]


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