• search hit 53 of 1103
Back to Result List

Optimal Control of Low-Frequency Electromagnetic Fields in Multiply Connected Conductors

Please always quote using this URN:urn:nbn:de:0296-matheon-13328
  • 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.

Download full text files

Export metadata

Additional Services

Share in Twitter Search Google Scholar
Metadaten
Author:Fredi Tröltzsch, Alberto Valli
URN:urn:nbn:de:0296-matheon-13328
Referee:Dietmar Hömberg
Document Type:Preprint, Research Center Matheon
Language:English
Date of first Publication:2014/12/15
Release Date:2014/12/15
Tag:$H$-based approximation; Electromagnetic fields; Maxwell equations; low frequency approximation; optimal control; sparse 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 / 35Jxx Elliptic equations and systems [See also 58J10, 58J20] / 35J25 Boundary value problems for second-order elliptic equations
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
49-XX CALCULUS OF VARIATIONS AND OPTIMAL CONTROL; OPTIMIZATION [See also 34H05, 34K35, 65Kxx, 90Cxx, 93-XX] / 49Kxx Optimality conditions / 49K20 Problems involving partial differential equations
Preprint Number:1075
Verstanden ✔
Diese Webseite verwendet technisch erforderliche Session-Cookies. Durch die weitere Nutzung der Webseite stimmen Sie diesem zu. Unsere Datenschutzerklärung finden Sie hier.