Computational design of acoustic materials using an adaptive optimization algorithm
Journal article, 2018

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.

Lagrangian approach

Adaptive finite element method

Coefficient inverse problem

Invisibility acoustic cloaking

Finite difference method

Tikhonov functional

Acoustic wave equation

Author

Larisa Beilina

Chalmers, Mathematical Sciences, Applied Mathematics and Statistics

Eugene Smolkin

Penza State University

Applied Mathematics and Information Sciences

1935-0090 (ISSN)

Vol. 12 1 33-43

Subject Categories

Computational Mathematics

Control Engineering

Signal Processing

DOI

10.18576/amis/120103

More information

Latest update

3/29/2018