Identification of subwavelength microstructural information from macroscopic boundary measurements in elastodynamics

HIGHLIGHTS

• What: Besides proving the well-posedness of the inverse problem, the authors characterize the Gâteaux derivative of the objective function making use of shape calculus, which facilitates the use of gradient-based algorithms for finding the optimal τ numerically. In general, the stationary problem has received considerably more attention than the wave-scattering analogue, which is the focus of this article. The aim of this paper is then to investigate the minimization problem 2. 2 τ∈K τ∈K (a) Existence result First, the authors show that there exists at least one solution of the inverse problem (3.1 . . .
  

   

  

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