Standard

Modeling of 2D Acoustic Radiation Patterns as a Control Problem. / Shishlenin, Maxim; Savchenko, Nikita; Novikov, Nikita et al.

In: Mathematics, Vol. 10, No. 7, 1116, 01.04.2022.

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

Harvard

Shishlenin, M, Savchenko, N, Novikov, N & Klyuchinskiy, D 2022, 'Modeling of 2D Acoustic Radiation Patterns as a Control Problem', Mathematics, vol. 10, no. 7, 1116. https://doi.org/10.3390/math10071116

APA

Shishlenin, M., Savchenko, N., Novikov, N., & Klyuchinskiy, D. (2022). Modeling of 2D Acoustic Radiation Patterns as a Control Problem. Mathematics, 10(7), [1116]. https://doi.org/10.3390/math10071116

Vancouver

Shishlenin M, Savchenko N, Novikov N, Klyuchinskiy D. Modeling of 2D Acoustic Radiation Patterns as a Control Problem. Mathematics. 2022 Apr 1;10(7):1116. doi: 10.3390/math10071116

Author

Shishlenin, Maxim ; Savchenko, Nikita ; Novikov, Nikita et al. / Modeling of 2D Acoustic Radiation Patterns as a Control Problem. In: Mathematics. 2022 ; Vol. 10, No. 7.

BibTeX

@article{18ee2aa9d7a54df2a8de1fa4a7de2619,
title = "Modeling of 2D Acoustic Radiation Patterns as a Control Problem",
abstract = "A problem of modeling radiation patterns of wave sources in two-dimensional acoustic tomography is considered. Each source has its own radiation patterns, and their modeling will be used to improve the solvability of inverse problems of recovering the acoustic parameters of human soft tissues and come closer to building a digital twin of acoustic tomography. The problem is considered as a control problem of the right side for the velocities by spatial variables. Two statements are investigated—control by time or space functions. A numerical solution method is implemented. The results of numerical calculations are presented.",
keywords = "acoustic, acoustic radiation pattern, control problem, first-order hyperbolic system, gradient descent method, inverse problem, tomography",
author = "Maxim Shishlenin and Nikita Savchenko and Nikita Novikov and Dmitriy Klyuchinskiy",
note = "Funding Information: Funding: The work was supported by Russian Science Foundation, grant 19-11-00154 “Developing of new mathematical models of acoustic tomography in medicine. Numerical methods, HPC and software”. Publisher Copyright: {\textcopyright} 2022 by the authors. Licensee MDPI, Basel, Switzerland.",
year = "2022",
month = apr,
day = "1",
doi = "10.3390/math10071116",
language = "English",
volume = "10",
journal = "Mathematics",
issn = "2227-7390",
publisher = "MDPI AG",
number = "7",

}

RIS

TY - JOUR

T1 - Modeling of 2D Acoustic Radiation Patterns as a Control Problem

AU - Shishlenin, Maxim

AU - Savchenko, Nikita

AU - Novikov, Nikita

AU - Klyuchinskiy, Dmitriy

N1 - Funding Information: Funding: The work was supported by Russian Science Foundation, grant 19-11-00154 “Developing of new mathematical models of acoustic tomography in medicine. Numerical methods, HPC and software”. Publisher Copyright: © 2022 by the authors. Licensee MDPI, Basel, Switzerland.

PY - 2022/4/1

Y1 - 2022/4/1

N2 - A problem of modeling radiation patterns of wave sources in two-dimensional acoustic tomography is considered. Each source has its own radiation patterns, and their modeling will be used to improve the solvability of inverse problems of recovering the acoustic parameters of human soft tissues and come closer to building a digital twin of acoustic tomography. The problem is considered as a control problem of the right side for the velocities by spatial variables. Two statements are investigated—control by time or space functions. A numerical solution method is implemented. The results of numerical calculations are presented.

AB - A problem of modeling radiation patterns of wave sources in two-dimensional acoustic tomography is considered. Each source has its own radiation patterns, and their modeling will be used to improve the solvability of inverse problems of recovering the acoustic parameters of human soft tissues and come closer to building a digital twin of acoustic tomography. The problem is considered as a control problem of the right side for the velocities by spatial variables. Two statements are investigated—control by time or space functions. A numerical solution method is implemented. The results of numerical calculations are presented.

KW - acoustic

KW - acoustic radiation pattern

KW - control problem

KW - first-order hyperbolic system

KW - gradient descent method

KW - inverse problem

KW - tomography

UR - http://www.scopus.com/inward/record.url?scp=85128085742&partnerID=8YFLogxK

U2 - 10.3390/math10071116

DO - 10.3390/math10071116

M3 - Article

AN - SCOPUS:85128085742

VL - 10

JO - Mathematics

JF - Mathematics

SN - 2227-7390

IS - 7

M1 - 1116

ER -

ID: 35905847