Conjugate Function Method and Conformal Mappings in Multiply Connected Domains
Numerical Analysis
2017-07-06 v3
Abstract
The conjugate function method is an algorithm for numerical computation of conformal mappings for simply and doubly connected domains. In this paper the conjugate function method is generalized for multiply connected domains. The key challenge addressed here is the construction of the conjugate domain and the associated conjugate problem. All variants of the method preserve the so-called reciprocal relation of the moduli. An implementation of the algorithm, along with several examples and illustrations are given.
Cite
@article{arxiv.1502.02047,
title = {Conjugate Function Method and Conformal Mappings in Multiply Connected Domains},
author = {Harri Hakula and Tri Quach and Antti Rasila},
journal= {arXiv preprint arXiv:1502.02047},
year = {2017}
}
Comments
23 pages, 17 figures, 2 tables