Abstract

We investigate the mathematical modeling of the 2D acousticwaves propagation. We solve the hyperbolic first order system of partial differential equations by the method of S. K. Godunov. The inverse problem of reconstructing the density of the medium is solved by the gradient method. The gradient of the functional is obtained.

Original languageEnglish
Title of host publicationContinuum Mechanics, Applied Mathematics and Scientific Computing
Subtitle of host publicationGodunov's Legacy: A Liber Amicorum to Professor Godunov
PublisherSpringer International Publishing AG
Pages217-222
Number of pages6
ISBN (Electronic)9783030388706
ISBN (Print)9783030388690
DOIs
Publication statusPublished - 3 Apr 2020

OECD FOS+WOS

  • 1.03 PHYSICAL SCIENCES AND ASTRONOMY
  • 1.01 MATHEMATICS
  • 2.05 MATERIALS ENGINEERING

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