Conjugate Function Method for Numerical Conformal Mappings
  We present a method for numerical computation of conformal mappings from simply or doubly connected domains onto so-called canonical domains, which in our case are rectangles or annuli. The method is based on conjugate harmonic functions and properties of quadrilaterals. Several numerical examples are given. 
Harri Hakula, Tri Quach, Antti Rasila
math.NA math.CV