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01.09.2014

Superconvergence analysis for parabolic optimal control problems

verfasst von: Yuelong Tang, Yuchun Hua

Erschienen in: Calcolo | Ausgabe 3/2014

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Abstract

In this paper, we investigate the superconvergence of a variational discretization approximation for parabolic optimal control problems with control constraints. The state and the adjoint state are approximated by piecewise linear functions and the control is not directly discretized. The time discretization is based on difference methods. We derive the superconvergence between the numerical solution and elliptic projection for the state and the adjoint state and present a numerical example for illustrating our theoretical results.

Vorheriger Artikel Block SOR methods for the solution of indefinite least squares problems

Nächster Artikel Duality for multiobjective variational control problems with -invexity

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Titel: Superconvergence analysis for parabolic optimal control problems
verfasst von: Yuelong Tang
Yuchun Hua
Publikationsdatum: 01.09.2014
Verlag: Springer Milan
Erschienen in: Calcolo / Ausgabe 3/2014
Print ISSN: 0008-0624
Elektronische ISSN: 1126-5434
DOI: https://doi.org/10.1007/s10092-013-0091-7

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