A HIGH-ORDER ACCURATE ALGORITHM FOR ELECTROSTATICS OF OVERLAPPING DISKS

A fast and accurate algorithm for the computation of effective electri c and mathematically equivalent properties of composites with nonsmoot h interfaces is reported. The algorithm is based on an integral equati on reformulation of the electrostatic partial differential equation an d a fast hierarchical technique for potential field evaluation. In a n umerical example, 200 large and strongly inhomogeneous aggregates of r andomly overlapping disks are solved with a relative error of 0.0005.