Abstract

We investigate the mathematical modeling of the 2D acoustic waves propagation, based on the conservation laws. The hyperbolic first-order system of partial differential equations is considered and solved by the method of S. K. Godunov. The inverse problem of reconstructing the density and the speed of sound of the medium is considered. We apply the gradient method to reconstruct the parameters of the medium. The gradient of the functional is obtained. Numerical results are presented.

Original languageEnglish
Pages (from-to)287-297
Number of pages11
JournalJournal of Inverse and Ill-Posed Problems
Volume28
Issue number2
Early online date20 Feb 2020
DOIs
Publication statusPublished - Apr 2020

Keywords

  • Acoustics
  • coefficient inverse problem
  • conservation laws
  • Godunov scheme
  • optimization method
  • INVERSE PROBLEM
  • RECONSTRUCTION
  • MODEL
  • SIMULATION
  • SPATIAL DISTRIBUTIONS
  • WAVES
  • ABSORPTION
  • SOUND-VELOCITY
  • ULTRASOUND TOMOGRAPHY

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