An efficient procedure for solving potential field problems: the Conformal Boundary Differences Method

Abstract

A novel method rooted in the classical Schwarz-Christoffel transformation from the disk is introduced, which allows for fast and accurate solution of potential field problems in possibly inhomogeneous and multiply connected domains: this is for sure its most outstanding feature, circumventing the barriers that have increasingly restricted the scope of conformal mappings in applications since the advent of computers and purely numerical methods. An example problem, derived from a case of practical interest, is analyzed and results are compared with those obtained from FEA.