Conjugate function method for numerical conformal mappings

Authors:
Harri Hakula;Tri Quach;Antti Rasila
Affiliations:
-;-;-
Venue:
Journal of Computational and Applied Mathematics
Year:
2013

Citing 6
Cited 0

Applied and computational complex analysis. Vol. 3: discrete Fourier analysis—Cauchy integrals—construction of conformal maps---univalent functions

Applied and computational complex analysis. Vol. 3: discrete Fourier analysis—Cauchy integrals—construction of conformal maps---univalent functions
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Abstract

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.