Regular boundary element steady-state solutions of the traveling magnetic field problems

Regular boundary element method (R-BEM) is applied to analyze steady-state traveling magnetic field problems for which convective diffusion equation is considered as governing equation. We deal with a three-dimensional rectangular prism as a simple example in order to study stability and accuracy of regular boundary element (R-BE) solutions. It is found that R-BE solutions are unconditionally stable for a rectangular prism whose sides parallel to a traveling velocity are longer than those perpendicular to the velocity. Furthermore, we can show that R-BE solutions as well as conventional BE solutions have second-order accuracy. Finally, numerical precision is studied through the condition number of the system matrices used in the analysis for a few parameters. It is shown that the R-BEM is available for the analysis of three-dimensional steady-state convective diffusion equations.