A priori error estimates for elliptic optimal control problems with a bilinear state equation

• Autores: Axel Kröner, Boris Vexler
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 230, Nº 2, 2009, págs. 781-802
• Idioma: inglés
• DOI: 10.1016/j.cam.2009.01.023
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• Resumen

  • In this paper a priori error analysis for the finite element discretization of an optimal control problem governed by an elliptic state equation is considered. The control variable enters the state equation as a coefficient and is subject to pointwise inequality constraints. We derive a priori error estimates for the discretization error in the control variable and confirm our theoretical results by numerical examples.