Computational design of acoustic materials using an adaptive optimization algorithm
Abstract
We consider the problem of the construction of the acoustic structure of arbitrary geometry with prescribed desired properties. We use optimization approach for the solution of this problem and minimize the Tikhonov functional on adaptively refined meshes. These meshes are refined locally only in places where the acoustic structure should be designed. Our special symmetric mesh refinement strategy together with interpolation procedure allows the construction of the symmetric acoustic material with prescribed properties. Efficiency of the presented adaptive optimization algorithm is illustrated on the construction of the symmetric acoustic material in two dimensions.
Cite
@article{arxiv.1701.06006,
title = {Computational design of acoustic materials using an adaptive optimization algorithm},
author = {Larisa Beilina and Eugene Smolkin},
journal= {arXiv preprint arXiv:1701.06006},
year = {2017}
}
Comments
25 pages, 82 figures. arXiv admin note: substantial text overlap with arXiv:1606.01737