Error estimates for parabolic optimal control problems with control and state constraints

Wei Gong () and Michael Hinze ()

Computational Optimization and Applications, 2013, vol. 56, issue 1, 151 pages

Abstract: The numerical approximation to a parabolic control problem with control and state constraints is studied in this paper. We use standard piecewise linear and continuous finite elements for the space discretization of the state, while the dG(0) method is used for time discretization. A priori error estimates for control and state are obtained by an improved maximum error estimate for the corresponding discretized state equation. Numerical experiments are provided which support our theoretical results. Copyright Springer Science+Business Media New York 2013

Keywords: Optimal control problem; Finite element method; A priori error estimate; Parabolic equation; Control and state constraints (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/s10589-013-9541-z

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