A priori error estimates for elliptic optimal control problems with a bilinear state equation |
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Authors: | Axel Krner Boris Vexler |
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Institution: | aTechnische Universität München, Zentrum Mathematik, Boltzmannstr. 3, 85748 Garching b. München, Germany |
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Abstract: | 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. |
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Keywords: | Optimal control Control constraints Bilinear equations Finite elements A priori error estimates |
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