Discretization Error Estimates for an Optimal Control Problem in a Nonconvex Domain

Th. Apel (), A. Rösch () and G. Winkler ()
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Th. Apel: Universität der Bundeswehr München, Institut für Mathematik und Bauinformatik, Fakultät für Bauingenieur- und Vermessungswesen
A. Rösch: Austrian Academy of Sciences, Johann Radon Institute for Computational and Applied Mathematics (RICAM)
G. Winkler: Universität der Bundeswehr München, Institut für Mathematik und Bauinformatik, Fakultät für Bauingenieur- und Vermessungswesen

A chapter in Numerical Mathematics and Advanced Applications, 2006, pp 299-307 from Springer

Abstract: Abstract An optimal control problem for a 2-d elliptic equation and with pointwise control constraints is investigated. The domain is assumed to be polygonal but non-convex. The corner singularities are treated by a priori mesh grading. A second order approximation of the optimal control is constructed by a projection of the discrete adjoint state. Here we summarize the results from [1] and add further numerical tests.

Keywords: Optimal Control Problem; Adjoint State; Corner Singularity; Piecewise Constant Approximation; Elliptic Optimal Control Problem (search for similar items in EconPapers)
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-34288-5_23

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DOI: 10.1007/978-3-540-34288-5_23

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