Solving for Micro- and Macro- Scale Electrostatic Configurations Using   the Robin Hood Algorithm
  We present a novel technique by which highly-segmented electrostatic configurations can be solved. The Robin Hood method is a matrix-inversion algorithm optimized for solving high density boundary element method (BEM) problems. We illustrate the capabilities of this solver by studying two distinct geometry scales: (a) the electrostatic potential of a large volume beta-detector and (b) the field enhancement present at surface of electrode nano-structures. Geometries with elements numbering in the O(10^5) are easily modeled and solved without loss of accuracy. The technique has recently been expanded so as to include dielectrics and magnetic materials. 
J. A. Formaggio, P. Lazic, T. J. Corona, H. Stefancic, H. Abraham and   F. Gluck
physics.comp-ph nucl-ex