Harmonic Shears and Numerical Conformal Mappings
Numerical Analysis
2015-10-14 v3 Complex Variables
Abstract
In this article we introduce a numerical algorithm for finding harmonic mappings by using the shear construction introduced by Clunie and Sheil-Small in 1984. The MATLAB implementation of the algorithm is based on the numerical conformal mapping package, the Schwarz-Christoffel toolbox, by T. Driscoll. Several numerical examples are given. In addition, we discuss briefly the minimal surfaces associated with harmonic mappings and give a numerical example of minimal surfaces.
Cite
@article{arxiv.1405.6759,
title = {Harmonic Shears and Numerical Conformal Mappings},
author = {Tri Quach},
journal= {arXiv preprint arXiv:1405.6759},
year = {2015}
}
Comments
15 pages, 6 figures