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Optimal Voltage Control of Non-Stationary Eddy Current Problems

Please always quote using this URN:urn:nbn:de:0296-matheon-14060
  • A mathematical model is set up that can be useful for controlled voltage excitation in time-dependent electromagnetism. The well-posedness of the model is proved and an associated optimal control problem is investigated. Here, the control function is a transient voltage and the aim of the control is the best approximation of desired electric and magnetic fields in suitable $L^2$-norms. Special emphasis is laid on an adjoint calculus for first-order necessary optimality conditions. Moreover, a {peculiar attention is devoted to propose a formulation for which the computational complexity of the finite element solution method is substantially reduced}.

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Metadaten
Author:Fredi Tröltzsch, Alberto Valli
URN:urn:nbn:de:0296-matheon-14060
Referee:Dietmar Hömberg
Document Type:Preprint, Research Center Matheon
Language:English
Date of first Publication:2017/04/24
Release Date:2017/04/24
Tag:Time-dependent electromagnetism; controlled voltage excitation; optimal control
Institute:Technische Universität Berlin
Project:D Optics and Electronics (Electronic and photonic devices) / D-SE9 Optimal control of evolution Maxwell equations and low rank approximation
MSC-Classification:35-XX PARTIAL DIFFERENTIAL EQUATIONS / 35Qxx Equations of mathematical physics and other areas of application [See also 35J05, 35J10, 35K05, 35L05] / 35Q60 PDEs in connection with optics and electromagnetic theory
Preprint Number:1122
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