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

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Numerical testing in determination of sound speed from a part of boundary by the BC-method. / Belishev, Mikhail I.; Ivanov, Ivan B.; Kubyshkin, Igor V.; Semenov, Vladimir S.

In: Journal of Inverse and Ill-Posed Problems, Vol. 24, No. 2, 01.04.2016, p. 159-180.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{30e15cc39dac42e09bd083afea5ce37a,

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

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.",

keywords = "Acoustic equation, time-domain inverse problem, determination from part of boundary, boundary control method",

author = "Belishev, {Mikhail I.} and Ivanov, {Ivan B.} and Kubyshkin, {Igor V.} and Semenov, {Vladimir S.}",

year = "2016",

month = apr,

day = "1",

doi = "10.1515/jiip-2015-0052",

language = "English",

volume = "24",

pages = "159--180",

journal = "Journal of Inverse and Ill-Posed Problems",

issn = "0928-0219",

publisher = "De Gruyter",

number = "2",

}

RIS

TY - JOUR

T1 - Numerical testing in determination of sound speed from a part of boundary by the BC-method

AU - Belishev, Mikhail I.

AU - Ivanov, Ivan B.

AU - Kubyshkin, Igor V.

AU - Semenov, Vladimir S.

PY - 2016/4/1

Y1 - 2016/4/1

N2 - 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.

AB - 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.

KW - Acoustic equation

KW - time-domain inverse problem

KW - determination from part of boundary

KW - boundary control method

UR - http://www.scopus.com/inward/record.url?scp=84964644521&partnerID=8YFLogxK

U2 - 10.1515/jiip-2015-0052

DO - 10.1515/jiip-2015-0052

M3 - Article

VL - 24

SP - 159

EP - 180

JO - Journal of Inverse and Ill-Posed Problems

JF - Journal of Inverse and Ill-Posed Problems

SN - 0928-0219

IS - 2

ER -

ID: 5781031