Premium
Numerical Analysis for Time‐Dependent Electromagnetic Field Control
Author(s) -
Bommer Vera,
Yousept Irwin
Publication year - 2018
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201800442
Subject(s) - discretization , finite element method , maxwell's equations , electromagnetic field , optimal control , numerical analysis , mathematics , crank–nicolson method , spacetime , scheme (mathematics) , field (mathematics) , mathematical analysis , physics , mathematical optimization , quantum mechanics , pure mathematics , thermodynamics
Abstract An optimal control problem of the full time‐dependent Maxwell equations and its numerical approximation are presented. A mixed finite element discretization in space and a Crank‐Nicolson scheme for the time‐dependent Maxwell equation lead to a discretized optimal control problem. A numerical example illustrates our approach.