Jump to ContentJump to Main Navigation
Show Summary Details
More options …

Journal of Inverse and Ill-posed Problems

Editor-in-Chief: Kabanikhin, Sergey I.

IMPACT FACTOR 2017: 0.941
5-year IMPACT FACTOR: 0.953

CiteScore 2017: 0.91

SCImago Journal Rank (SJR) 2017: 0.461
Source Normalized Impact per Paper (SNIP) 2017: 1.022

Mathematical Citation Quotient (MCQ) 2017: 0.49

See all formats and pricing
More options …
Volume 24, Issue 2


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

Mikhail I. Belishev
  • Corresponding author
  • St. Petersburg Department of the Steklov Mathematical Institute, St. Petersburg State University, Russia
  • Email
  • Other articles by this author:
  • De Gruyter OnlineGoogle Scholar
/ Ivan B. Ivanov
  • Institute of Physics, St. Petersburg State University, St. Petersburg Nuclear Physics Institute, Theoretical Physics Division, Russia
  • Email
  • Other articles by this author:
  • De Gruyter OnlineGoogle Scholar
/ Igor V. Kubyshkin / Vladimir S. Semenov
Published Online: 2015-07-16 | DOI: https://doi.org/10.1515/jiip-2015-0052


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.

Keywords: Acoustic equation; time-domain inverse problem; determination from part of boundary; boundary control method

MSC: 35R30; 65M32; 86A22

About the article

Received: 2015-05-21

Accepted: 2015-07-03

Published Online: 2015-07-16

Published in Print: 2016-04-01

Funding Source: RFBR

Award identifier / Grant number: 14-01-00535À

Funding Source: SPbGU

Award identifier / Grant number: 6.38.670.2013

Funding Source: St. Petersburg State University

Award identifier / Grant number: leading scientific schools 2836.2014.5

Citation Information: Journal of Inverse and Ill-posed Problems, Volume 24, Issue 2, Pages 159–180, ISSN (Online) 1569-3945, ISSN (Print) 0928-0219, DOI: https://doi.org/10.1515/jiip-2015-0052.

Export Citation

© 2016 by De Gruyter.Get Permission

Citing Articles

Here you can find all Crossref-listed publications in which this article is cited. If you would like to receive automatic email messages as soon as this article is cited in other publications, simply activate the “Citation Alert” on the top of this page.

Maarten V. de Hoop, Paul Kepley, and Lauri Oksanen
SIAM Journal on Applied Mathematics, 2018, Volume 78, Number 4, Page 1931

Comments (0)

Please log in or register to comment.
Log in