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STREAMLINE UPWIND/PETROV GALERKIN SOLUTION OF OPTIMAL CONTROL PROBLEMS GOVERNED BY TIME DEPENDENT DIFFUSION-CONVECTION-REACTION EQUATIONS

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cris.virtual.department#PLACEHOLDER_PARENT_METADATA_VALUE#
cris.virtual.orcid#PLACEHOLDER_PARENT_METADATA_VALUE#
cris.virtualsource.departmentb61d66e1-8c8e-40f8-97ec-8f3929253f6f
cris.virtualsource.orcidb61d66e1-8c8e-40f8-97ec-8f3929253f6f
dc.contributor.affiliationTurk Hava Kurumu University; Turkish Aeronautical Association; Middle East Technical University; Middle East Technical University
dc.contributor.authorAkman, T.; Karasozen, B.; Kanar-Seymen, Z.
dc.date.accessioned2024-06-25T11:45:07Z
dc.date.available2024-06-25T11:45:07Z
dc.date.issued2017
dc.description.abstractThe streamline upwind/Petrov Galerkin (SUPG) finite element method is studied for distributed optimal control problems governed by unsteady diffusion-convection-reaction equations with control constraints. We derive stability and convergence estimates for fully-discrete state, adjoint and control and discuss the choice of the stabilization parameter by applying backward Euler method in time. We show that by balancing the error terms in the convection dominated regime, optimal convergence rates can be obtained. The numerical results confirm the theoretically observed convergence rates.
dc.description.endpage235
dc.description.issue2
dc.description.pages15
dc.description.researchareasMathematics
dc.description.startpage221
dc.description.volume7
dc.description.woscategoryMathematics, Applied
dc.identifier.issn2146-1147
dc.identifier.urihttps://acikarsiv.thk.edu.tr/handle/123456789/1232
dc.language.isoEnglish
dc.publisherTURKIC WORLD MATHEMATICAL SOC
dc.relation.journalTWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS
dc.subjectoptimal control problems; unsteady diffusion-convection-reaction equations; finite element elements; a priori error estimates
dc.subjectFINITE-ELEMENT DISCRETIZATION; CONTROL CONSTRAINTS
dc.titleSTREAMLINE UPWIND/PETROV GALERKIN SOLUTION OF OPTIMAL CONTROL PROBLEMS GOVERNED BY TIME DEPENDENT DIFFUSION-CONVECTION-REACTION EQUATIONS
dc.typeArticle
dspace.entity.typePublication

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