An Economical Algorithm for Numerical Solution of the Problem of Identifying the Right-Hand Side of the Poisson Equation

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An Economical Algorithm for Numerical Solution of the Problem of Identifying the Right-Hand Side of the Poisson Equation. / Sorokin, S. B.

In: Journal of Applied and Industrial Mathematics, Vol. 12, No. 2, 01.04.2018, p. 362-368.

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

BibTeX

@article{697d62ff782d48b089aebdcd966dffab,

title = "An Economical Algorithm for Numerical Solution of the Problem of Identifying the Right-Hand Side of the Poisson Equation",

abstract = "We propose two economical algorithms for numerical solution of the problem of identifying the right-hand side of the Poisson equation from information on the solution on the boundary of the domain. Both algorithms are based on the method of separation of variables. The method is presented on a discrete level. We use the nonuniform grids along one of the coordinates. There are possible applications for operators with variable coefficients of a special kind.",

keywords = "difference scheme, economical algorithm, elliptic equation, identification of the right-hand side, inverse problem, Poisson equation, separation of variables",

author = "Sorokin, {S. B.}",

note = "Publisher Copyright: {\textcopyright} 2018, Pleiades Publishing, Ltd.",

year = "2018",

month = apr,

day = "1",

doi = "10.1134/S1990478918020163",

language = "English",

volume = "12",

pages = "362--368",

journal = "Journal of Applied and Industrial Mathematics",

issn = "1990-4789",

publisher = "Maik Nauka-Interperiodica Publishing",

number = "2",

}

RIS

TY - JOUR

T1 - An Economical Algorithm for Numerical Solution of the Problem of Identifying the Right-Hand Side of the Poisson Equation

AU - Sorokin, S. B.

PY - 2018/4/1

Y1 - 2018/4/1

N2 - We propose two economical algorithms for numerical solution of the problem of identifying the right-hand side of the Poisson equation from information on the solution on the boundary of the domain. Both algorithms are based on the method of separation of variables. The method is presented on a discrete level. We use the nonuniform grids along one of the coordinates. There are possible applications for operators with variable coefficients of a special kind.

AB - We propose two economical algorithms for numerical solution of the problem of identifying the right-hand side of the Poisson equation from information on the solution on the boundary of the domain. Both algorithms are based on the method of separation of variables. The method is presented on a discrete level. We use the nonuniform grids along one of the coordinates. There are possible applications for operators with variable coefficients of a special kind.

KW - difference scheme

KW - economical algorithm

KW - elliptic equation

KW - identification of the right-hand side

KW - inverse problem

KW - Poisson equation

KW - separation of variables

UR - http://www.scopus.com/inward/record.url?scp=85047815189&partnerID=8YFLogxK

U2 - 10.1134/S1990478918020163

DO - 10.1134/S1990478918020163

M3 - Article

AN - SCOPUS:85047815189

VL - 12

SP - 362

EP - 368

JO - Journal of Applied and Industrial Mathematics

JF - Journal of Applied and Industrial Mathematics

SN - 1990-4789

IS - 2

ER -

ID: 13686808