Standard

Quantity of the inverse problem data for the system of conservation laws. / Klyuchinskiy, D. V.; Novikov, N. S.; Shishlenin, M. A.

In: Journal of Physics: Conference Series, Vol. 2092, No. 1, 012020, 20.12.2021.

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

Harvard

Klyuchinskiy, DV, Novikov, NS & Shishlenin, MA 2021, 'Quantity of the inverse problem data for the system of conservation laws', Journal of Physics: Conference Series, vol. 2092, no. 1, 012020. https://doi.org/10.1088/1742-6596/2092/1/012020

APA

Klyuchinskiy, D. V., Novikov, N. S., & Shishlenin, M. A. (2021). Quantity of the inverse problem data for the system of conservation laws. Journal of Physics: Conference Series, 2092(1), [012020]. https://doi.org/10.1088/1742-6596/2092/1/012020

Vancouver

Klyuchinskiy DV, Novikov NS, Shishlenin MA. Quantity of the inverse problem data for the system of conservation laws. Journal of Physics: Conference Series. 2021 Dec 20;2092(1):012020. doi: 10.1088/1742-6596/2092/1/012020

Author

Klyuchinskiy, D. V. ; Novikov, N. S. ; Shishlenin, M. A. / Quantity of the inverse problem data for the system of conservation laws. In: Journal of Physics: Conference Series. 2021 ; Vol. 2092, No. 1.

BibTeX

@article{79b4d1caac9b4e069c6d636833aa81b2,
title = "Quantity of the inverse problem data for the system of conservation laws",
abstract = "In this paper we study properties of the model, that describes the plane acoustic waves propagation. The model is based on the hyperboliv system of PDE, which is solved numerically by using the finite-volume method, based on Godunov scheme. After studying the direct problem we turn to the inverse one, where our goal is to recover the parameters of the system of PDE by using the initial data, measured in the receivers. We obtain the formula for the gradient of the misfits functional, which allows us to apply gradient-based optimization for recovering the density of the medium. We present the results of numerical experiments for different number of receivers, thus, studying the influence of the quantity of the data of inverse problem on the accuracy of the solution.",
author = "Klyuchinskiy, {D. V.} and Novikov, {N. S.} and Shishlenin, {M. A.}",
note = "Funding Information: The work was supported by RSCF 19-11-00154 “Developing of new mathematical acoustic tomography in medicine. Numerical methods, HPC and software”. Publisher Copyright: {\textcopyright} 2021 Institute of Physics Publishing. All rights reserved.; 11th International Scientific Conference and Young Scientist School on Theory and Computational Methods for Inverse and Ill-posed Problems ; Conference date: 26-08-2019 Through 04-09-2019",
year = "2021",
month = dec,
day = "20",
doi = "10.1088/1742-6596/2092/1/012020",
language = "English",
volume = "2092",
journal = "Journal of Physics: Conference Series",
issn = "1742-6588",
publisher = "IOP Publishing Ltd.",
number = "1",

}

RIS

TY - JOUR

T1 - Quantity of the inverse problem data for the system of conservation laws

AU - Klyuchinskiy, D. V.

AU - Novikov, N. S.

AU - Shishlenin, M. A.

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

PY - 2021/12/20

Y1 - 2021/12/20

N2 - In this paper we study properties of the model, that describes the plane acoustic waves propagation. The model is based on the hyperboliv system of PDE, which is solved numerically by using the finite-volume method, based on Godunov scheme. After studying the direct problem we turn to the inverse one, where our goal is to recover the parameters of the system of PDE by using the initial data, measured in the receivers. We obtain the formula for the gradient of the misfits functional, which allows us to apply gradient-based optimization for recovering the density of the medium. We present the results of numerical experiments for different number of receivers, thus, studying the influence of the quantity of the data of inverse problem on the accuracy of the solution.

AB - In this paper we study properties of the model, that describes the plane acoustic waves propagation. The model is based on the hyperboliv system of PDE, which is solved numerically by using the finite-volume method, based on Godunov scheme. After studying the direct problem we turn to the inverse one, where our goal is to recover the parameters of the system of PDE by using the initial data, measured in the receivers. We obtain the formula for the gradient of the misfits functional, which allows us to apply gradient-based optimization for recovering the density of the medium. We present the results of numerical experiments for different number of receivers, thus, studying the influence of the quantity of the data of inverse problem on the accuracy of the solution.

UR - http://www.scopus.com/inward/record.url?scp=85123994646&partnerID=8YFLogxK

U2 - 10.1088/1742-6596/2092/1/012020

DO - 10.1088/1742-6596/2092/1/012020

M3 - Conference article

AN - SCOPUS:85123994646

VL - 2092

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

SN - 1742-6588

IS - 1

M1 - 012020

T2 - 11th International Scientific Conference and Young Scientist School on Theory and Computational Methods for Inverse and Ill-posed Problems

Y2 - 26 August 2019 through 4 September 2019

ER -

ID: 35427789