Optimal Control of the Inhomogeneous Relativistic Maxwell--Newton--Lorentz Equations

DOI10.1137/14100083XzbMath1354.49007arXiv1411.7265OpenAlexW2963984734MaRDI QIDQ2821809

Oliver Thoma, Christian Meyer, Sascha M. Schnepp

Publication date: 23 September 2016

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.7265

zbMATH Keywords

optimal controlstate constraintsMaxwell's equationDirichlet controlAbraham modelNewton-Lorentz equation

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Existence theories for optimal control problems involving ordinary differential equations (49J15) Existence theories for optimal control problems involving partial differential equations (49J20) Optimality conditions for problems involving ordinary differential equations (49K15) Maxwell equations (35Q61)

Related Items (3)

A priori error estimates for the space-time finite element discretization of an optimal control problem governed by a coupled linear PDE-ODE system ⋮ An Alternating Direction Method of Multipliers for the Optimization Problem Constrained with a Stationary Maxwell System ⋮ A Priori Error Estimates for the Finite Element Approximation of a Nonsmooth Optimal Control Problem Governed by a Coupled Semilinear PDE-ODE System

Uses Software

• ADiMat

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