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

Autor:	Akman, Tuğba, Karasözen, Bülent, Kanar Seymen, Zahire
Jazyk:	angličtina
Předmět:	Finite element elements A priori error estimates optimal control problems unsteady diusion-convection-reaction equations nite element elements a priori error estimates Optimal control problems Unsteady diffusion-convection-reaction equations
Zdroj:	Volume: 7, Issue: 2 221-235 TWMS Journal of Applied and Engineering Mathematics
ISSN:	2146-1147 2587-1013
Popis:	The streamline upwind/Petrov Galerkin (SUPG) finite element method is studied for distributed optimal control problems governed by unsteady diffusion-convectionreaction 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. Publisher's Version
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::5f04621d329650a262e56fb403143bc0 https://dergipark.org.tr/tr/pub/twmsjaem/issue/55640/761181 Zobrazit plný text záznamu