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

Результат исследований: Научные публикации в периодических изданияхстатьярецензирование

15 Цитирования (Scopus)

Аннотация

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.

Язык оригиналаанглийский
Страницы (с-по)159-180
Число страниц22
ЖурналJournal of Inverse and Ill-Posed Problems
Том24
Номер выпуска2
DOI
СостояниеОпубликовано - 1 апр 2016

Предметные области Scopus

  • Прикладная математика

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