On the modeling of ultrasound wave propagation in the frame of inverse problem solution

N. S. Novikov; D. V. Klyuchinskiy; M. A. Shishlenin; S. I. Kabanikhin

doi:10.1088/1742-6596/2099/1/012044

On the modeling of ultrasound wave propagation in the frame of inverse problem solution

N. S. Novikov, D. V. Klyuchinskiy, M. A. Shishlenin, S. I. Kabanikhin

Research output: Contribution to journal › Conference article › peer-review

Abstract

In this paper we consider the inverse problem of detecting the inclusions inside the human tissue by using the acoustic sounding wave. The problem is considered in the form of coefficient inverse problem for first-order system of PDE and we use the gradient descent approach to recover the coefficients of that system. The important part of the sceme is the solution of the direct and adjoint problem on each iteration of the descent. We consider two finite-volume methods of solving the direct problem and study their influence on the performance of recovering the coefficients.

Original language	English
Article number	012044
Journal	Journal of Physics: Conference Series
Volume	2099
Issue number	1
DOIs	https://doi.org/10.1088/1742-6596/2099/1/012044
Publication status	Published - 13 Dec 2021
Event	International Conference on Marchuk Scientific Readings 2021, MSR 2021 - Novosibirsk, Virtual, Russian Federation Duration: 4 Oct 2021 → 8 Oct 2021

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1.03 PHYSICAL SCIENCES AND ASTRONOMY

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10.1088/1742-6596/2099/1/012044

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title = "On the modeling of ultrasound wave propagation in the frame of inverse problem solution",

abstract = "In this paper we consider the inverse problem of detecting the inclusions inside the human tissue by using the acoustic sounding wave. The problem is considered in the form of coefficient inverse problem for first-order system of PDE and we use the gradient descent approach to recover the coefficients of that system. The important part of the sceme is the solution of the direct and adjoint problem on each iteration of the descent. We consider two finite-volume methods of solving the direct problem and study their influence on the performance of recovering the coefficients.",

author = "Novikov, {N. S.} and Klyuchinskiy, {D. V.} and Shishlenin, {M. A.} and Kabanikhin, {S. I.}",

note = "Funding Information: The work was supported by RSCF, project 19-11-00154 “Developing of new mathematical models of acoustic tomography in medicine. Numerical methods, HPC and software”. Publisher Copyright: {\textcopyright} 2021 Institute of Physics Publishing. All rights reserved.; International Conference on Marchuk Scientific Readings 2021, MSR 2021 ; Conference date: 04-10-2021 Through 08-10-2021",

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AU - Novikov, N. S.

AU - Klyuchinskiy, D. V.

AU - Shishlenin, M. A.

AU - Kabanikhin, S. I.

N1 - Funding Information: The work was supported by RSCF, project 19-11-00154 “Developing of new mathematical models of acoustic tomography in medicine. Numerical methods, HPC and software”. Publisher Copyright: © 2021 Institute of Physics Publishing. All rights reserved.

PY - 2021/12/13

Y1 - 2021/12/13

N2 - In this paper we consider the inverse problem of detecting the inclusions inside the human tissue by using the acoustic sounding wave. The problem is considered in the form of coefficient inverse problem for first-order system of PDE and we use the gradient descent approach to recover the coefficients of that system. The important part of the sceme is the solution of the direct and adjoint problem on each iteration of the descent. We consider two finite-volume methods of solving the direct problem and study their influence on the performance of recovering the coefficients.

AB - In this paper we consider the inverse problem of detecting the inclusions inside the human tissue by using the acoustic sounding wave. The problem is considered in the form of coefficient inverse problem for first-order system of PDE and we use the gradient descent approach to recover the coefficients of that system. The important part of the sceme is the solution of the direct and adjoint problem on each iteration of the descent. We consider two finite-volume methods of solving the direct problem and study their influence on the performance of recovering the coefficients.

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DO - 10.1088/1742-6596/2099/1/012044

M3 - Conference article

AN - SCOPUS:85123714699

VL - 2099

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

SN - 1742-6588

IS - 1

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T2 - International Conference on Marchuk Scientific Readings 2021, MSR 2021

Y2 - 4 October 2021 through 8 October 2021

ER -

On the modeling of ultrasound wave propagation in the frame of inverse problem solution

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