Research output: Contribution to journal › Conference article › peer-review
On the modeling of ultrasound wave propagation in the frame of inverse problem solution. / Novikov, N. S.; Klyuchinskiy, D. V.; Shishlenin, M. A. et al.
In: Journal of Physics: Conference Series, Vol. 2099, No. 1, 012044, 13.12.2021.Research output: Contribution to journal › Conference article › peer-review
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TY - JOUR
T1 - On the modeling of ultrasound wave propagation in the frame of inverse problem solution
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.
UR - http://www.scopus.com/inward/record.url?scp=85123714699&partnerID=8YFLogxK
U2 - 10.1088/1742-6596/2099/1/012044
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
M1 - 012044
T2 - International Conference on Marchuk Scientific Readings 2021, MSR 2021
Y2 - 4 October 2021 through 8 October 2021
ER -
ID: 35376721