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. Рассмотрена некорректная задача Коши-Неймана для уравнения П...
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| Veröffentlicht in: | Журнал математической физики, анализа, геометрии |
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| Datum: | 2014 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2014
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/106806 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862616656622125056 |
|---|---|
| author | Guliyev, H.F. Gasimov, Y.S. Zeynalli, S.M. |
| author_facet | Guliyev, H.F. Gasimov, Y.S. Zeynalli, S.M. |
| 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. |
| collection | DSpace DC |
| container_title | Журнал математической физики, анализа, геометрии |
| 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.
Рассмотрена некорректная задача Коши-Неймана для уравнения Пуассона. Задача сведена до задачи оптимального управления. Для решения полученной задачи использованы методы оптимизации.
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| first_indexed | 2025-12-07T13:09:56Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-106806 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1812-9471 |
| language | English |
| last_indexed | 2025-12-07T13:09:56Z |
| publishDate | 2014 |
| publisher | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| record_format | dspace |
| spelling | Guliyev, H.F. Gasimov, Y.S. Zeynalli, S.M. 2016-10-05T21:02:17Z 2016-10-05T21:02:17Z 2014 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 https://nasplib.isofts.kiev.ua/handle/123456789/106806 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. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Журнал математической физики, анализа, геометрии Optimal Control Method for Solving the Cauchy-Neumann Problem for the Poisson Equation Article published earlier |
| spellingShingle | Optimal Control Method for Solving the Cauchy-Neumann Problem for the Poisson Equation Guliyev, H.F. Gasimov, Y.S. Zeynalli, S.M. |
| title | 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_short | 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/106806 |
| work_keys_str_mv | AT guliyevhf optimalcontrolmethodforsolvingthecauchyneumannproblemforthepoissonequation AT gasimovys optimalcontrolmethodforsolvingthecauchyneumannproblemforthepoissonequation AT zeynallism optimalcontrolmethodforsolvingthecauchyneumannproblemforthepoissonequation |