Optimal control of the full time-dependent maxwell equations

DOI10.1051/m2an/2015041zbMath1379.78005OpenAlexW2233452955MaRDI QIDQ2798140

Vera Bommer, Irwin Yousept

Publication date: 1 April 2016

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/m2an/2015041

zbMATH Keywords

optimal controlstrongly continuous semigroupHelmholtz decompositionsemismooth Newtontime-dependent Maxwell's equations

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Numerical optimization and variational techniques (65K10) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Electromagnetic theory (general) (78A25) Optimization problems in optics and electromagnetic theory (78M50) Maxwell equations (35Q61)

Related Items (11)

Optimal control of some quasilinear Maxwell equations of parabolic type ⋮ Optimal Control of Non-Smooth Hyperbolic Evolution Maxwell Equations in Type-II Superconductivity ⋮ 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 ⋮ Modelling and simulations in time-fractional electrodynamics based on control engineering methods ⋮ Optimal voltage control of non-stationary Eddy current problems ⋮ Variational source condition for ill-posed backward nonlinear Maxwell’s equations ⋮ An Alternating Direction Method of Multipliers for the Optimization Problem Constrained with a Stationary Maxwell System ⋮ An adaptive edge element method and its convergence for an electromagnetic constrained optimal control problem ⋮ Optimal Control of the Inhomogeneous Relativistic Maxwell--Newton--Lorentz Equations

Uses Software

• FEniCS
• MinRes

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