Computational design of acoustic materials using an adaptive optimization algorithm
Artikel i vetenskaplig tidskrift, 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.
Adaptive finite element method
Coefficient inverse problem
Invisibility acoustic cloaking
Finite difference method
Acoustic wave equation