Volume 51, Number 6, November-December 2017
|Page(s)||2159 - 2191|
|Published online||12 December 2017|
A posteriori error analysis for the optimal control of magneto-static fields
Universität Duisburg-Essen, Duisburg, Germany.
Received: 20 August 2016
Revised: 20 January 2017
Accepted: 7 March 2017
This paper is concerned with the analysis and numerical investigations for the optimal control of first-order magneto-static equations. Necessary and sufficient optimality conditions are established through a rigorous Hilbert space approach. Then, on the basis of the optimality system, we prove functional a posteriori error estimators for the optimal control, the optimal state, and the adjoint state. 3D numerical results illustrating the theoretical findings are presented.
Mathematics Subject Classification: 35Q61 / 78A25 / 78A30 / 65N15 / 47A05 / 35F05 / 35F15
Key words: Maxwell’s equations / magneto statics / optimal control / a posteriori error analysis
© EDP Sciences, SMAI 2017
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