Computing optimal control with a quasilinear parabolic partial differential equation
This paper presents the numerical solution of a constrained optimal control problem (COCP) for quasilinear parabolic equations. The COCP is converted to unconstrained optimization problem (UOCP) by applying the exterior penalty function method. Necessary optimality conditions for the considered prob...
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Format: | Article |
Language: | English |
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University Constantin Brancusi of Targu-Jiu
2009-11-01
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Series: | Surveys in Mathematics and its Applications |
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Online Access: | http://www.utgjiu.ro/math/sma/v04/p12.pdf |
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author | M. H. Farag |
author_facet | M. H. Farag |
author_sort | M. H. Farag |
collection | DOAJ |
description | This paper presents the numerical solution of a constrained optimal control problem (COCP) for quasilinear parabolic equations. The COCP is converted to unconstrained optimization problem (UOCP) by applying the exterior penalty function method. Necessary optimality conditions for the considered problem are established. The computing optimal controls are helped to identify the unknown coefficients of the quasilinear parabolic equation. Numerical results are reported. |
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format | Article |
id | doaj.art-6f0a9a4412534548b1ccb76351f4f87c |
institution | Directory Open Access Journal |
issn | 1843-7265 1842-6298 |
language | English |
last_indexed | 2024-04-13T13:23:52Z |
publishDate | 2009-11-01 |
publisher | University Constantin Brancusi of Targu-Jiu |
record_format | Article |
series | Surveys in Mathematics and its Applications |
spelling | doaj.art-6f0a9a4412534548b1ccb76351f4f87c2022-12-22T02:45:12ZengUniversity Constantin Brancusi of Targu-JiuSurveys in Mathematics and its Applications1843-72651842-62982009-11-014 (2009)139153Computing optimal control with a quasilinear parabolic partial differential equationM. H. FaragThis paper presents the numerical solution of a constrained optimal control problem (COCP) for quasilinear parabolic equations. The COCP is converted to unconstrained optimization problem (UOCP) by applying the exterior penalty function method. Necessary optimality conditions for the considered problem are established. The computing optimal controls are helped to identify the unknown coefficients of the quasilinear parabolic equation. Numerical results are reported.http://www.utgjiu.ro/math/sma/v04/p12.pdfOptimal controlParabolic EquationPenalty function methodsExistence theoryNecessary optimality conditions |
spellingShingle | M. H. Farag Computing optimal control with a quasilinear parabolic partial differential equation Surveys in Mathematics and its Applications Optimal control Parabolic Equation Penalty function methods Existence theory Necessary optimality conditions |
title | Computing optimal control with a quasilinear parabolic partial differential equation |
title_full | Computing optimal control with a quasilinear parabolic partial differential equation |
title_fullStr | Computing optimal control with a quasilinear parabolic partial differential equation |
title_full_unstemmed | Computing optimal control with a quasilinear parabolic partial differential equation |
title_short | Computing optimal control with a quasilinear parabolic partial differential equation |
title_sort | computing optimal control with a quasilinear parabolic partial differential equation |
topic | Optimal control Parabolic Equation Penalty function methods Existence theory Necessary optimality conditions |
url | http://www.utgjiu.ro/math/sma/v04/p12.pdf |
work_keys_str_mv | AT mhfarag computingoptimalcontrolwithaquasilinearparabolicpartialdifferentialequation |