Universität Augsburg
|
Frau Christine Herter
Universität Hamburg
spricht am
Dienstag, 25. Juli 2023
um
13:30 Uhr
im
Raum 1309 (I2)
über das Thema:
Abstract: |
Particle accelerator cavities transfer energy to a charged particle beam by applying an electric field. The final performance of accurate simulation results is sensitive to small deformation changes. The field distribution and its frequency in cavities are governed by Maxwell’s time-harmonic eigenvalue problem. In this talk we consider the free-form optimization of particle accelerators in sense of eigenvalue optimization with respect to small shape-variations. We control these shape-variations by formulating an optimal control problem which is based on a method of mappings. As constraint we use a mixed weak formulation by Kikuchi (1987) and discretize the function spaces with a mixed finite element method by means of Nédélec and Lagrange elements. To solve the constraining Maxwell‘s eigenvalue optimization problem, we calculate derivatives based on a method of adjoint calculus and introduce a damped inverse BFGS method. |
Hierzu ergeht herzliche Einladung. |
Prof. Dr. Malte Peter |