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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Main Author: M. H. Farag
Format: Article
Language:English
Published: University Constantin Brancusi of Targu-Jiu 2009-11-01
Series:Surveys in Mathematics and its Applications
Subjects:
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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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