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)
Beilina, Larisa and Smolkin, Eugene
"Computational Design of Acoustic Materials Using an Adaptive Optimization Algorithm,"
Applied Mathematics & Information Sciences: Vol. 12
, Article 3.
Available at: https://dc.naturalspublishing.com/amis/vol12/iss1/3