Stabilization of the modelling of a Radio-Frequency Quadrupole based on quasi-Helmholtz projectors

This paper presents a stabilization of a Radio-Frequency Quadrupole simulation based on the quasi-Helmholtz projectors. A boundary element method applied to this case undergoes a low-frequency breakdown i.e the associated system of equations becomes increasingly ill-conditioned for decreasing frequencies. This in practice implies that the convergence of iterative methods which are used to solve the linear system is poor. This paper reports that a quasi-Helmholtz projectors based stabilization is sufficient to handle the level of realism required by applications.