Optimal control of low-frequency electromagnetic fields in multiply connected conductors

DOI10.1080/02331934.2016.1179301zbMath1345.49027OpenAlexW4251949028MaRDI QIDQ2817239

Alberto Valli, Fredi Tröltzsch

Publication date: 29 August 2016

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331934.2016.1179301

zbMATH Keywords

optimal controlMaxwell equationselectromagnetic fieldssparsitylow-frequency approximationeddy current equations\(H\)-based approximation

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Optimality conditions for problems involving partial differential equations (49K20) Boundary value problems for second-order elliptic equations (35J25) PDEs in connection with optics and electromagnetic theory (35Q60) Existence theories for optimal control problems involving partial differential equations (49J20) Maxwell equations (35Q61)

Related Items (9)

Maxwell quasi-variational inequalities in superconductivity ⋮ Convergence and quasi-optimality of adaptive finite element methods for harmonic forms ⋮ Eddy current approximation in Maxwell obstacle problems ⋮ Optimal control of an eddy current problem with a dipole source ⋮ Edge Element Method for Optimal Control of Stationary Maxwell System with Gauss Law ⋮ Optimal control of parameterized stationary Maxwell's system: reduced basis, convergence analysis, and a posteriori error estimates ⋮ Quasilinear Variational Inequalities in Ferromagnetic Shielding: Well-Posedness, Regularity, and Optimal Control ⋮ Optimal voltage control of non-stationary Eddy current problems ⋮ Investigation of optimal control problems governed by a time-dependent Kohn-Sham model

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