Variational discretization of Lavrentiev-regularized state constrained elliptic optimal control problems

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Erscheinungsjahr:
2010
Medientyp:
Text
Schlagworte:
  • Optimal control problem
  • Optimal control
  • Elliptic optimal
  • Finite Element Method
  • Galerkin Methods
  • Errors
  • Optimal control problem
  • Optimal control
  • Elliptic optimal
  • Finite Element Method
  • Galerkin Methods
  • Errors
Beschreibung:
  • In the present work, we apply a variational discretization proposed by the first author in (Comput. Optim. Appl. 30:45-61, 2005) to Lavrentiev-regularized state constrained elliptic control problems. We extend the results of (Comput. Optim. Appl. 33:187-208, 2006) and prove weak convergence of the adjoint states and multipliers of the regularized problems to their counterparts of the original problem. Further, we prove error estimates for finite element discretizations of the regularized problem and investigate the overall error imposed by the finite element discretization of the regularized problem compared to the continuous solution of the original problem. Finally we present numerical results which confirm our analytical findings. © Springer Science+Business Media, LLC 2008.
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  • info:eu-repo/semantics/restrictedAccess
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Forschungsinformationssystem der UHH
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oai:www.edit.fis.uni-hamburg.de:publications/c9e0aa64-3ff0-4830-aec6-ec8febf0cbe3