Publikation: Optimal control and model-order reduction of an abstract parabolic system containing a controlled bilinear form : Applied to the example of a controlled advection term in an advection-diffusion equation
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2016
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Zusammenfassung
In the present paper, a linear parabolic evolution equation is considered whose bilinear form is controlled from a general Banach space. The control-to-state operator and some important properties thereof are presented. For a quadratic objective function, the gradient in the control space is derived. A-posteriori error estimators are presented for a given reduced-order model (ROM) with respect to both the cost function and the gradient.
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Fachgebiet (DDC)
510 Mathematik
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Partial differential equations, optimal control, reduced-order modelling, a-posteriori error analysis
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BANHOLZER, Stefan, Dennis BEERMANN, 2016. Optimal control and model-order reduction of an abstract parabolic system containing a controlled bilinear form : Applied to the example of a controlled advection term in an advection-diffusion equationBibTex
@unpublished{Banholzer2016Optim-36389,
year={2016},
title={Optimal control and model-order reduction of an abstract parabolic system containing a controlled bilinear form : Applied to the example of a controlled advection term in an advection-diffusion equation},
author={Banholzer, Stefan and Beermann, Dennis},
note={The present document contains extensive theoretical analysis which is needed for an upcoming article in cooperation with researchers from the Paderborn University.}
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Kommentar zur Publikation
The present document contains extensive theoretical analysis which is needed for an upcoming article in cooperation with researchers from the Paderborn University.
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Ja
