An integral equation formulation of the <i>N</i>-body dielectric spheres problem. Part II: complexity analysis

This article is the second in a series of two papers concerning mathematical study boundary integral equation kind that describes interaction N dielectric spherical particles undergoing mutual polarisation. The first presented numerical analysis Galerkin method used to solve this and derived -independent convergence rates for induced surface charges total electrostatic energy. current will focus on computational aspects algorithm. We provide iterative underlying linear system show number liner solver iterations required obtain solution independent . Additionally, we present scaling strategies computation approximate charges. Finally, consider experiments designed validate our theoretical results explore dependence errors cost solving different parameters.