Finite element analysis of an optimal control problem in the coefficients of time-harmonic eddy current equations

DOI10.1007/s10957-012-0040-7zbMath1261.49001OpenAlexW2025880553MaRDI QIDQ1937016

Irwin Yousept

Publication date: 11 February 2013

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-012-0040-7

zbMATH Keywords

control in coefficientseddy current equationsNédélec's curl-conforming edge elementsoptimal control with PDEs

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Optimality conditions for problems involving partial differential equations (49K20) Regularity of solutions in optimal control (49N60) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25)

Related Items (13)

Optimal Control of Non-Smooth Hyperbolic Evolution Maxwell Equations in Type-II Superconductivity ⋮ 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 for electromagnetic cloaking metamaterial parameters design ⋮ Adaptive edge element approximation of \(H(\mathrm{curl}\)-elliptic optimal control problems with control constraints ⋮ Convergence of sum-up rounding schemes for cloaking problems governed by the Helmholtz equation ⋮ Optimal control of the full time-dependent maxwell equations ⋮ Optimal Control of the Inhomogeneous Relativistic Maxwell--Newton--Lorentz Equations ⋮ Variational Source Conditions in $L^p$-spaces ⋮ Level Set--Based Shape Optimization Approach for Sharp-Interface Reconstructions in Time-Domain Full Waveform Inversion ⋮ Consistency of a phase field regularisation for an inverse problem governed by a quasilinear Maxwell system ⋮ Oversmoothing Tikhonov regularization in Banach spaces ^*

Uses Software

• MinRes

Cites Work

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