Numerische Mathematik

, Volume 106, Issue 3, pp 349–367 | Cite as

Optimal control of the convection-diffusion equation using stabilized finite element methods

  • Roland Becker
  • Boris Vexler


In this paper we analyze the discretization of optimal control problems governed by convection-diffusion equations which are subject to pointwise control constraints. We present a stabilization scheme which leads to improved approximate solutions even on corse meshes in the convection dominated case. Moreover, the in general different approaches “optimize-then- discretize” and “discretize-then-optimize” coincide for the proposed discretization scheme. This allows for a symmetric optimality system at the discrete level and optimal order of convergence.

Mathematics Subject Classification (2000)

Optimal control Stabilized finite elements Error estimates Pointwise inequality constraints 


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Copyright information

© Springer-Verlag 2007

Authors and Affiliations

  1. 1.Laboratoire de Mathématiques AppliquéesUniversité de Pau et des Pays de l’AdourPAU CedexFrance
  2. 2.Johann Radon Institute for Computational and Applied Mathematics (RICAM)Austrian Academy of SciencesLinzAustria

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