Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Constrained multi-objective shape optimization of superconducting RF
  cavities considering robustness against geometric perturbations   High current storage rings, such as the Z-pole operating mode of the FCC-ee,
require accelerating cavities that are optimized with respect to both the
fundamental mode and the higher order modes. Furthermore, the cavity shape
needs to be robust against geometric perturbations which could, for example,
arise from manufacturing inaccuracies or harsh operating conditions at
cryogenic temperatures. This leads to a constrained multi-objective shape
optimization problem which is computationally expensive even for axisymmetric
cavity shapes. In order to decrease the computation cost, a global sensitivity
analysis is performed and its results are used to reduce the search space and
redefine the objective functions. A massively parallel implementation of an
evolutionary algorithm, combined with a fast axisymmetric Maxwell eigensolver
and a frequency-tuning method is used to find an approximation of the Pareto
front. The computed Pareto front approximation and a cavity shape with desired
properties are shown. Further, the approach is generalized and applied to
another type of cavity.

11
The categories of this paper are: hep-lat
2
The categories of this paper are: math
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat