Multipole accelerated capacitance calculation for structures with multiple dielectrics with high permittivity ratios

This paper describes a new boundary integral formulation for the three-dimensional capacitance calculation of structures with multiple dielectrics. Unlike the existing equivalent-charge formulation, the new approach allows accurate numerical approximations when the permittivity ratios of the dielectrics are large. A multipole-accelerated algorithm based on this approach is described, and numerical results of its implementation are presented.