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Optimal Control Method for Solving the Cauchy-Neumann Problem for the Poisson Equation

Optimal Control Method for Solving the Cauchy-Neumann Problem for the Poisson Equation

In the paper, the ill-posed Cauchy-Neumann problem is considered for the Poisson equation. The problem is reduced to the optimal control problem that is regularized. Optimization methods are applied to the solution of the obtained problem.

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Bibliographic Details
Main Authors: Guliyev, H.F., Gasimov, Y.S., Zeynalli, S.M.
Format: Article
Language:English
Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2014
Series:Журнал математической физики, анализа, геометрии
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/106806
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spelling irk-123456789-1068062016-10-06T03:02:28Z Optimal Control Method for Solving the Cauchy-Neumann Problem for the Poisson Equation Guliyev, H.F. Gasimov, Y.S. Zeynalli, S.M. In the paper, the ill-posed Cauchy-Neumann problem is considered for the Poisson equation. The problem is reduced to the optimal control problem that is regularized. Optimization methods are applied to the solution of the obtained problem. Рассмотрена некорректная задача Коши-Неймана для уравнения Пуассона. Задача сведена до задачи оптимального управления. Для решения полученной задачи использованы методы оптимизации. 2014 Article Optimal Control Method for Solving the Cauchy-Neumann Problem for the Poisson Equation / H.F. Guliyev, Y.S. Gasimov, S.M. Zeynalli // Журнал математической физики, анализа, геометрии. — 2014. — Т. 10, № 4. — С. 412-421. — Бібліогр.: 12 назв. — англ. 1812-9471 DOI: http://dx.doi.org/10.15407/mag10.04.412 http://dspace.nbuv.gov.ua/handle/123456789/106806 en Журнал математической физики, анализа, геометрии Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
description In the paper, the ill-posed Cauchy-Neumann problem is considered for the Poisson equation. The problem is reduced to the optimal control problem that is regularized. Optimization methods are applied to the solution of the obtained problem.
format Article
author Guliyev, H.F.
Gasimov, Y.S.
Zeynalli, S.M.
spellingShingle Guliyev, H.F.
Gasimov, Y.S.
Zeynalli, S.M.
Optimal Control Method for Solving the Cauchy-Neumann Problem for the Poisson Equation
Журнал математической физики, анализа, геометрии
author_facet Guliyev, H.F.
Gasimov, Y.S.
Zeynalli, S.M.
author_sort Guliyev, H.F.
title Optimal Control Method for Solving the Cauchy-Neumann Problem for the Poisson Equation
title_short Optimal Control Method for Solving the Cauchy-Neumann Problem for the Poisson Equation
title_full Optimal Control Method for Solving the Cauchy-Neumann Problem for the Poisson Equation
title_fullStr Optimal Control Method for Solving the Cauchy-Neumann Problem for the Poisson Equation
title_full_unstemmed Optimal Control Method for Solving the Cauchy-Neumann Problem for the Poisson Equation
title_sort optimal control method for solving the cauchy-neumann problem for the poisson equation
publisher Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
publishDate 2014
url http://dspace.nbuv.gov.ua/handle/123456789/106806
citation_txt Optimal Control Method for Solving the Cauchy-Neumann Problem for the Poisson Equation / H.F. Guliyev, Y.S. Gasimov, S.M. Zeynalli // Журнал математической физики, анализа, геометрии. — 2014. — Т. 10, № 4. — С. 412-421. — Бібліогр.: 12 назв. — англ.
series Журнал математической физики, анализа, геометрии
work_keys_str_mv AT guliyevhf optimalcontrolmethodforsolvingthecauchyneumannproblemforthepoissonequation
AT gasimovys optimalcontrolmethodforsolvingthecauchyneumannproblemforthepoissonequation
AT zeynallism optimalcontrolmethodforsolvingthecauchyneumannproblemforthepoissonequation
first_indexed 2023-10-18T20:13:45Z
last_indexed 2023-10-18T20:13:45Z
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