Geodesic
A posteriori error analysis for the optimal control of magneto-static fields
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 51 (2017) no. 6, pp. 2159-2191

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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.

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DOI : 10.1051/m2an/2017008
Classification : 35Q61, 78A25, 78A30, 65N15, 47A05, 35F05, 35F15
Keywords: Maxwell’s equations, magneto statics, optimal control, a posteriori error analysis 
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     author = {Pauly, Dirk and Yousept, Irwin},
     title = {A posteriori error analysis for the optimal control of magneto-static fields},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
     pages = {2159--2191},
     publisher = {EDP-Sciences},
     volume = {51},
     number = {6},
     year = {2017},
     doi = {10.1051/m2an/2017008},
     mrnumber = {3745168},
     zbl = {1383.35223},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/m2an/2017008/}
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Pauly, Dirk; Yousept, Irwin. A posteriori error analysis for the optimal control of magneto-static fields. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 51 (2017) no. 6, pp. 2159-2191. doi: 10.1051/m2an/2017008

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