Fast Methods of Electromagnetic Modeling of Complex Geometries

This report describes several areas of research that address areas that are important for practical use of modem techniques of computational electromagnetics, with emphasis on methods that, my making code more robust, will reduce the need for human attention. This include low frequency fast multipole methods, appropriate discretization to efficiently model charge and current distribution near geometric singularities. new, more efficient quadrature rules, and a system to automate the patch refinement process.