Comparative analysis of the numerical methods for 3D continuation problem for parabolic equation with data on the part of the boundary

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Comparative analysis of the numerical methods for 3D continuation problem for parabolic equation with data on the part of the boundary. / Prikhodko, Aleksei ; Shishlenin, Maxim.

In: Journal of Physics: Conference Series, Vol. 2092, No. 1, 012010, 20.12.2021.

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

BibTeX

@article{679b031981644ee5aa805e6a0960edc0,

title = "Comparative analysis of the numerical methods for 3D continuation problem for parabolic equation with data on the part of the boundary",

abstract = "The problem of continuation of the solution of a three-dimensional parabolic equation with data given on a time-like surface is investigated. Two numerical methods for solving the continuation problem are compared: the finite-difference scheme inversion and the solution of inverse problem by gradient method. The functional gradient formula is obtained. The results of numerical calculations are presented.",

author = "Aleksei Prikhodko and Maxim Shishlenin",

note = "Funding Information: The work was supported by RFBR, project number 19-01-00694. 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 = "10.1088/1742-6596/2092/1/012010",

language = "English",

volume = "2092",

journal = "Journal of Physics: Conference Series",

issn = "1742-6588",

publisher = "IOP Publishing Ltd.",

number = "1",

}

RIS

TY - JOUR

T1 - Comparative analysis of the numerical methods for 3D continuation problem for parabolic equation with data on the part of the boundary

AU - Prikhodko, Aleksei

AU - Shishlenin, Maxim

PY - 2021/12/20

Y1 - 2021/12/20

N2 - The problem of continuation of the solution of a three-dimensional parabolic equation with data given on a time-like surface is investigated. Two numerical methods for solving the continuation problem are compared: the finite-difference scheme inversion and the solution of inverse problem by gradient method. The functional gradient formula is obtained. The results of numerical calculations are presented.

AB - The problem of continuation of the solution of a three-dimensional parabolic equation with data given on a time-like surface is investigated. Two numerical methods for solving the continuation problem are compared: the finite-difference scheme inversion and the solution of inverse problem by gradient method. The functional gradient formula is obtained. The results of numerical calculations are presented.

UR - http://www.scopus.com/inward/record.url?scp=85124028141&partnerID=8YFLogxK

U2 - 10.1088/1742-6596/2092/1/012010

DO - 10.1088/1742-6596/2092/1/012010

M3 - Conference article

AN - SCOPUS:85124028141

VL - 2092

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

SN - 1742-6588

IS - 1

M1 - 012010

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: 35427509