TY - GEN A1 - Tröltzsch, Fredi A1 - Valli, Alberto T1 - Optimal Control of Low-Frequency Electromagnetic Fields in Multiply Connected Conductors N2 - Several classes of optimal control of electromagnetic fields are considered. Special emphasis is laid on a non-standard $H$-based formulation of the equations of electromagnetism in multiply connected conductors. By this technique, the Maxwell equations can be solved with reduced computational complexity. While the magnetic field $H$ in the conductor is obtained from an elliptic equation with the $\curl \sigma^{-1} \curl$ operator, an elliptic equation with the $\div \mu \nabla$ operator is set up for a potential $\psi$ in the isolator. Both equations are coupled by appropriate interface conditions. In all problems, the electrical current is controlled in the conducting domain. Several types of control functions are discussed. In particular, the problem of sparse optimal control is investigated in a package of electrical wires. For all problems, the associated sensitivity analysis is performed. KW - Electromagnetic fields KW - Maxwell equations KW - $H$-based approximation KW - low frequency approximation KW - optimal control KW - sparse optimal control Y1 - 2014 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/1332 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-13328 ER -