Computational Methods and Function Theory 11 (2011), No. 2, 655--669
Copyright Heldermann Verlag 2011
Conformal Welding for Finitely Connected Regions
Donald E. Marshall
email@example.com , University of Washington, Department of Mathematics, Box 354350, Seattle, WA 98195-4350 U.S.A.
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.
Keywords: Conformal welding, numerical conformal mapping, geodesic algorithm, zipper algorithm, Koebe's method.
MSC 2000: Primary 30C30; Secondary 30C35, 30C62.
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