Numerical testing in determination of sound speed from a part of boundary by the BC-method

Mikhail I. Belishev, Ivan B. Ivanov, Igor V. Kubyshkin, Vladimir S. Semenov

Research output: Contribution to journalArticlepeer-review

15 Scopus citations

Abstract

We present the results of numerical testing on determination of the sound speed c in the acoustic equation utt - c2Δu = 0 by the boundary control method. The inverse data is a response operator (a hyperbolic Dirichlet-to-Neumann map) given on controls, which are supported on a part of the boundary. The speed is determined in the subdomain covered by acoustic rays, which are emanated from the points of this part orthogonally to the boundary. The determination is time-optimal: the longer the observation time is, the larger the subdomain is, in which c is recovered. The numerical results are preceded with a brief exposition of the relevant variant of the BC-method.

Original languageEnglish
Pages (from-to)159-180
Number of pages22
JournalJournal of Inverse and Ill-Posed Problems
Volume24
Issue number2
DOIs
StatePublished - 1 Apr 2016

Scopus subject areas

  • Applied Mathematics

Keywords

  • Acoustic equation
  • time-domain inverse problem
  • determination from part of boundary
  • boundary control method

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