Optimal Control of Particle Accelerators

Oliver Thoma*, Christian Meyer and Sascha Schnepp

The talk deals with the optimal control of particle accelerators by means of exterior magnetic fields. The forward problem is modeled by a nonlinearly coupled system consisting of the instationary Maxwell's equations, an ODE for the relativistic particle dynamics, and an additional elliptic equation for the scalar magnetic potential. The control enters the problem via the Dirichlet data in the elliptic equation. First-order necessary optimality conditions and preliminary numerical results are presented.

Mathematics Subject Classification: 49K20

Keywords: Optimal control; Dirichlet boundary control; optimality conditions

Minisymposion: Adaptivity and Model Order Reduction in PDE Constrained Optimization