Crack determination using topology derivative in 3-D scalar wave problems

Abstract

A determination of cracks using topology optimization in 3-D time domain acoustics is considered. We introduce the cost function which is the misfit function between the obserbed data and the numerical data on the boundary of the domain having the cracks. We determin the cracks as the minimizer of the cost function using the topological derivative. The determination of two cracks having the less forecast information are shown in this paper.