Numerical Applications of Conformal Mapping with Explicit Formulae Based on the Power Series Method

A general optimization method, based on the power series is presented for computing conformal mappings with explicit expressions from: (a) unit disc onto an infinite domain exterior of a closed Jordan curve, (b) circular annulus finite doubly-connected bounded by two curves, (c) curves non-circular curves. The unknown mapping functions are approximated method. problem solving function coefficients transformed into determining image points plane means least square Different from most previous methods, angles set as design variables rather than in paper. influence terms calculation accuracy investigated. successful applications proposed method shown large number numerical examples.