A Posteriori Error Analysis for the Optimal Control of Magneto-Static Fields

2016/07/16 by Pauly, Dirk, Yousept, Irwin
#Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA) #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.1607.04745

Abstract

This paper is concerned with the analysis and numerical analysis 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.

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