The MAFIA approach to solving Maxwell's equations in three dimensions

The acronym MAFIA stands for the solution of Maxwell's equations by the Finite Integration Algorithm and is the name give to a set of codes intended for use in the computer-aided design of three-dimensional magnets, rf structures, and structures in which wake-field effects are important. This paper gives a brief description of the algorithms employed in both the time- and the frequency- domain solvers of the MAFIA collection of codes. Examples of typical accelerator calculations will be presented. 9 refs., 6 figs.