Computational Design of Acoustic Materials Using an Adaptive Optimization Algorithm

Authors

Larisa Beilina, Department of Mathematical Sciences, Chalmers University of Technology and University of Gothenburg, SE-42196 Gothenburg, SwedenFollow
Eugene Smolkin, Department of Mathematics and Supercomputing, Penza State University, Penza, RussiaFollow

Author Country (or Countries)

Sweden

Abstract

We consider the problem of design 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.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/120103

Recommended Citation

Beilina, Larisa and Smolkin, Eugene (2018) "Computational Design of Acoustic Materials Using an Adaptive Optimization Algorithm," Applied Mathematics & Information Sciences: Vol. 12: Iss. 1, Article 3.
DOI: http://dx.doi.org/10.18576/amis/120103
Available at: https://digitalcommons.aaru.edu.jo/amis/vol12/iss1/3