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}.
Author: | Fredi Tröltzsch, Alberto Valli |
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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 |