Conformal Welding for Finitely Connected Regions

Research paper by Donald E. Marshall

Indexed on: 02 Apr '13Published on: 02 Apr '13Published in: Computational Methods and Function Theory


We discuss a numerical implementation of conformal welding for finitely connected regions using the geodesic zipper algorithm and Koebe’s iterative method for computing conformal maps to regions bounded by circles. We also show that a conformal map from a finitely connected region to a region bounded by circles can be written as a composition of finitely many conformal maps of simply connected regions.