Computational design of acoustic materials using an adaptive optimization algorithm
For researchers in acoustic material design, this provides an adaptive optimization method for constructing materials with desired properties, though it is an incremental improvement over existing optimization approaches.
The paper addresses the design of acoustic materials with prescribed properties using an adaptive optimization algorithm that refines meshes locally, demonstrating efficiency for symmetric 2D structures.
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.