A Priori Error Analysis for Finite Element Approximation of Parabolic Optimal Control Problems with Pointwise Control

We consider finite element approximations of parabolic control problems with pointwise control. The state equation exhibits low regularity due to the control imposed pointwisely; this introduces some difficulties for both theoretical and numerical analysis. To discretize the optimal control problem...

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Veröffentlicht in:	SIAM journal on control and optimization 2014-01, Vol.52 (1), p.97-119
Hauptverfasser:	Gong, Wei, Hinze, Michael, Zhou, Zhaojie
Format:	Artikel
Sprache:	eng
Schlagworte:	Applied mathematics Approximation Computational mathematics Energy consumption Error analysis Estimates Experiments Mathematical functions
Online-Zugang:	Volltext
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